the worker will have earned $231,584.10 from the period of beginning 1962 through the end 1980.
To solve this problem, we can use the formula for the sum of a geometric series:
S = a(1 - rⁿ)/(1 - r)
where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.
In this case, the first term is $8,400 and the common ratio is 1.05 (since the worker's salary increases by 5% each year). We need to find the sum of the series from 1962 to 1980, which is 19 years. So, the total amount that the worker will have earned from the beginning of 1962 through the end of 1980 is:
S = 8,400(1 - 1.05¹⁹)/(1 - 1.05)
S ≈ $231,584.10
Therefore, the worker will have earned approximately $231,584.10 during this period.
To learn more about geometric series click here
brainly.com/question/4617980
#SPJ4
architects often create scale models before the actual building is constructed. if a scale model has a length of 24 inches and a width of 36 in., which dimensions are geometrically similar to the model buildings?
Architects often create scale models before the actual building is constructed. if a scale model has a length of 24 inches and a width of 36 in., 2:3 the dimensions are geometrically similar to the model buildings
Geometrically similar to the model buildings are those whose ratio of corresponding dimensions are the same as those of the model.
The ratio of the dimensions of the scale model is:
length:width = 24:36 = 2:3
There are two ratios to compare in a building with dimensions L and W:
length : width = L:W and
width : length = W:L
The ratio of the dimensions of a building must be in proportion to the ratio of the dimensions of the scale model for geometric similarity.
Since the dimensions of the model are 2:3, the dimensions of the building must also be in a 2:3 ratio.
Therefore, we have: L : W = 2:3
L = (2/3)W
The ratio of the length to the width of the building is 2:3.
For similar question on dimensions
https://brainly.com/question/28107004
#SPJ11
26. In the given figure, OP || RS. ZPQR = 60° and QRS = 130°. Then what is the measure of ZOPQ? S P 60% R 130⁰
Answer: The answer is 60.
Step-by-step explanation:
Using the fact that OP || RS, we know that∠RWV = 180° − 130° 1. ∠RWV = 50° We know that,∠PWQ = ∠RWV = 50° (Since, opposite angles of intersecting lines are equal) Also, for line OP∠OQP + θ = 180° θ = 180° − ∠OPQ = 180° − 110° 2. θ = 70°
Answer:
The measure of ∠OPQ is 110°.
Step-by-step explanation:
Draw a line parallel to OP from point Q. Label a point on the line T. (See attached diagram).
Angles SRQ and TQR are alternate interior angles, and so according to the Alternate Interior Angles Theorem, they are congruent.
⇒ m∠TQR = m∠SRQ = 130°
Given m∠PQR = 60° and m∠TQR = 130° then:
⇒ m∠TQP + m∠PQR = m∠TQR
⇒ m∠TQP + 60° = 130°
⇒ m∠TQP = 70°
Angles OPQ and TQP are same-side interior angles, and so according to the Same-side Interior Angles Theorem, they are supplementary (sum to 180°).
⇒ m∠OPQ + m∠TQP = 180°
⇒ m∠OPQ + 70° = 180°
⇒ m∠OPQ = 110°
Therefore, the measure of ∠OPQ is 110°.
how many ways are there to seat six people around a cir- cular table where two seatings are considered the same when everyone has the same two neighbors without re- gard to whether they are right or left neighbors?
the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two without neighbors regard to whether they are right or left neighbors is:5!6⋅2=10.6⋅25! = 10
There are $(6-1)! = 5! = 120$ ways to seat six people around a circular table if the seatings are considered distinct. However, we must divide this number by $6$ to account for the fact that rotations of the same seating arrangement are considered the same. We also must divide by $2$ to account for the fact that reflections (i.e., reversing the order of people) of the same seating arrangement are also considered the same.
Therefore, the number of distinct seating arrangements when two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors is:
5!6⋅2=10.6⋅25! = 10
learn more about number here
https://brainly.com/question/10547079
#SPJ4
assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000. what is the cutoff salary for teachers in the top 10%? round your answer to the nearest dollar.
As per the standard deviation, the cutoff salary for teachers in the top 10% of earners in this country is approximately $43,120.
Now, we need to determine the cutoff salary for teachers in the top 10% of earners in this country. To do this, we need to find the salary that corresponds to the 90th percentile of the distribution.
The 90th percentile represents the point below which 90% of the data falls. In other words, if we arrange all the salaries in ascending order, the 90th percentile is the value that is greater than 90% of the salaries.
We can use a standard normal distribution table or a calculator to find the z-score that corresponds to the 90th percentile. The z-score represents the number of standard deviations away from the mean that corresponds to a particular percentile.
Using the standard normal distribution table, we can find that the z-score for the 90th percentile is approximately 1.28. This means that the cutoff salary for teachers in the top 10% of earners is:
Cutoff salary = Mean + (Z-score x Standard deviation)
Cutoff salary = $38,000 + (1.28 x $4,000)
Cutoff salary = $43,120
To know more about standard deviation here
https://brainly.com/question/16555520
#SPJ4
a chord is drawn perpendicular to the radius of the circle. if the radius is 5 inches and the point of intersection between the chord and the radius is 2 inches away from the circumference of the circle, find the length of the chord.
The length of the chord is approximately 7.62 inches.
Let's call the center of the circle point O, the radius of the circle 5 inches, the point where the chord intersects the radius point A, and the point where the chord intersects the circle point B.
Since the chord is perpendicular to the radius, we know that angle AOB is a right angle. Also, since OA is 5 inches and AB is 2 inches, we can use the Pythagorean theorem to find the length of OB
OB^2 = OA^2 + AB^2
OB^2 = 5^2 + 2^2
OB^2 = 25 + 4
OB^2 = 29
OB = sqrt(29) ≈ 5.39 inches
Now that we know the length of OB, we can use it to find the length of the chord. Let's call the length of the chord CD, where C and D are the points where the chord intersects the circle. Since OB is perpendicular to CD, we can use the Pythagorean theorem again to find the length of CD
CD^2 = 2OB^2
CD^2 = 2(29)
CD^2 = 58
CD = sqrt(58) ≈ 7.62 inches
Learn more about Pythagorean theorem here
brainly.com/question/14930619
#SPJ4
the weights of steers in a herd are distributed normally. the standard deviation is 300lbs and the mean steer weight is 1100lbs . find the probability that the weight of a randomly selected steer is between 1279 and 1609lbs
The probability that the weight of a randomly selected steer is between 1279 and 1609 lbs is 0.2288.
Given that the weights of steers in a herd are distributed normally.
The standard deviation is 300 lbs and the mean steer weight is 1100 lbs.
We are required to find the probability that the weight of a randomly selected steer is between 1279 and 1609 lbs.
Here, it is given that the mean weight of the herd is 1100 lbs and the standard deviation is 300 lbs.
We need to find the probability of the weight of a randomly selected steer between 1279 lbs and 1609 lbs.
It can be written as;
P (1279 ≤ X ≤ 1609)
We can standardize this distribution by subtracting the mean and dividing it by the standard deviation.
The standardized form is given by
Z = (X-μ)/σ
where X is the given value, μ is the mean and σ is the standard deviation.
Substituting the values we get,
for X = 1279
[tex]Z_1[/tex] = (1279 - 1100)/300 = 0.5967 and
for X = 1609
[tex]Z_2[/tex] = (1609 - 1100)/300 = 1.6967
We are required to find the probability of Z between [tex]Z_1[/tex] and [tex]Z_2[/tex].
P([tex]Z_1[/tex] ≤ Z ≤ [tex]Z_2[/tex]) To find this probability,
we use the standard normal distribution table,
We get P(Z ≤ 1.70) = 0.9545 and P(Z ≤ 0.60) = 0.7257
Now, P ([tex]Z_1[/tex] ≤ Z ≤ [tex]Z_2[/tex]) = P(Z ≤ 1.70) - P(Z ≤ 0.60) = 0.9545 - 0.7257 = 0.2288.
For similar question on probability.
https://brainly.com/question/25870256
#SPJ11
what's a drawback to using a histogram?
Answer:
Step-by-step explanation:
One potential drawback of using a histogram is that it can be sensitive to the choice of bin width or bin size. If the bin size is too small, the histogram may appear too noisy or have too many empty bins, which can obscure patterns in the data. If the bin size is too large, important features of the distribution may be lost or smoothed out. Additionally, histograms do not always show the actual values of the data points, but rather a summary of the data. This means that some details about the data may be lost, such as the exact values of outliers or individual data points.
students test scores in an applied statistics courses are normally distributed with a mean of 70 and standard deviation of 10. what percent of the data falls below 40?
Percents of student failed in the test is 15.87%
Final grades are distributed normally.
Assuming mean, which is = 70
Provided that the standard deviation is 10,
Standard score or z-score refers to the normal random variable in a standard normal distribution. The following equation can convert each normal random variable X into a z score:
z=(X−μ)/σ
If X is a normal random variable, represents its mean, and represents its standard deviation.
For X=60 Z=(60−70)/10=−1
P(X<60)=P(Z<−1) \s =0.1587
Hence, 15.87% of pupils failed the test.
By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Mean is equal to (Sum of All Observations/Total Observations).
To know more about standard deviation, click the below link
https://brainly.com/question/2043700
#SPJ4
PLEASE HELP!!
Decomposing a Fraction with a Repeated Irreducible Quadratic Factor
Find the partial fraction decomposition of 2x^ 3 -x^ 2 +5x (x^ 2 +1)^ 2
Please show work
Answer:
[tex]\dfrac{2x^3-x^2+5x}{(x^2+1)^2}\equiv \dfrac{2x-1}{(x^2+1)}+\dfrac{3x+1}{(x^2+1)^2}[/tex]
Step-by-step explanation:
As the denominator has a repeated irreducible quadratic factor, and the degree of the denominator is greater than the degree of the numerator, the partial fraction form is:
[tex]\boxed{\dfrac{N(x)}{(x^2+c)^2} \equiv\dfrac{Ax+B}{(x^2+c)}+\dfrac{Cx+D}{(x^2+c)^2}}[/tex]
Therefore, the given algebraic fraction can be written as partial fractions of the form:
[tex]\dfrac{2x^3-x^2+5x}{(x^2+1)^2}\equiv \dfrac{Ax+B}{(x^2+1)}+\dfrac{Cx+D}{(x^2+1)^2}[/tex]
Add the partial fractions:
[tex]\dfrac{2x^3-x^2+5x}{(x^2+1)^2}\equiv \dfrac{(Ax+B)(x^2+1)+Cx+D}{(x^2+1)^2}[/tex]
Cancel the denominators from both sides of the original identity, so the numerators are equal:
[tex]2x^3-x^2+5x = (Ax+B)(x^2+1)+Cx+D[/tex]
Expand the right side of the equation:
[tex]2x^3-x^2+5x=Ax^3+Ax+Bx^2+B+Cx+D[/tex]
Group elements according to the powers of x:
[tex]2x^3-x^2+5x=Ax^3+Bx^2+(A+C)x+B+D[/tex]
Equate the coefficients of the terms in x³ and x² to solve for A and B:
[tex]\implies A=2[/tex]
[tex]\implies B=-1[/tex]
Substitute the found values of A and B into the equation:
[tex]2x^3-x^2+5x=2x^3-x^2+(2+C)x-1+D[/tex]
Equate the coefficients of the terms in x and the constant to solve for C and D:
[tex]\implies 5=2+C \implies C=3[/tex]
[tex]\implies 0=-1+D \implies D=1[/tex]
Replace A, B, C and D in the original identity:
[tex]\dfrac{2x^3-x^2+5x}{(x^2+1)^2}\equiv \dfrac{2x-1}{(x^2+1)}+\dfrac{3x+1}{(x^2+1)^2}[/tex]
i need help i cant figure out math
Answer:
See below.
Step-by-step explanation:
to find the change in temperature from 2:00 PM to 10:00 PM, you need to subtract the final temperature from the initial temperature. In other words,
Change in temperature = Final temperature - Initial temperature
In your problem, the final temperature is -9°F and the initial temperature is 18°F. Therefore,
Change in temperature = -9°F - 18°F
Change in temperature = -27°F
So, the change in temperature from 2:00 PM to 10:00 PM is -27°F.
A right triangel has side langht of 12 feet and 5 feet what is the missing side
The missing side of the right triangle after using Pythagorean theorem we get the answer as approximately 10.908 feet.
To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).
Let's label the sides of the right triangle as follows:
The longest side (hypotenuse) is c.The other two sides are a and b, with a being the shorter side.According to the problem, we have:
Side a = 5 feetSide c = 12 feetWe can use the Pythagorean theorem to find side b:
a² + b² = c²
5² + b² = 12²
25 + b² = 144
b² = 144 - 25
b² = 119
b = √(119) ≈ 10.908
Therefore, the missing side of the right triangle is approximately 10.908 feet.
To learn more about Pythagorean theorem Click here:
brainly.com/question/14930619
#SPJ4
you are given a dataset of air pollution readings from several locations in an urban setting. the measurements are taken every hour and include information about traffic flow. to perform regression on this longitudinal data, what kind of regression technique would you use?
To perform regression on this longitudinal data, where air pollution readings and traffic flow data are collected at regular intervals over time, we would use time series regression.
The link between a dependent variable (in this case, air pollution readings) and one or more independent variables (in this case, traffic flow) that are measured over time is examined using the statistical technique known as time series regression.
It is assumed that the dependent variable and the independent variable have a linear relationship in time series regression, a form of linear regression (s). It also takes into account the data's temporal character, where each observation depends on earlier observations.
In time series regression, a time series model is used to take the temporal component of the data into account. There are various kinds of time series models, such as the popular technique for time series regression known as ARIMA (autoregressive integrated moving average). ARIMA models forecast the future using the dependent variable's previous values.
Learn more about regression here:
https://brainly.com/question/14548066
#SPJ4
In ΔSTU, u = 980 inches, t = 700 inches and ∠T=161°. Find all possible values of ∠U, to the nearest degree.
Answer:<U=27.1
Step-by-step explanation:
undoing the law of sines to find <U:
[tex]\frac{sin161}{700} =\frac{sinU}{980}[/tex]
[tex]sin U 700=980sin161[/tex]
[tex]Sin U =\frac{980sin161}{700}[/tex]
[tex]< U=27.1[/tex]
8. describe the center and spread of the chi-square distributions. 9. what is the chi-square test statistic? is it on the formula sheet? what does it measure? 10. how many degrees of freedom does the chi-square distribution have? 11. what is the rule of thumb for all expected counts in a chi-square goodness of fit test?
8. Spread = SD = sqrt(2*df)
9. The difference between the observed and expected frequencies of the outcomes of a set of events or variables.
10. Degrees of 1 freedom does the chi-square distribution.
11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.
8. Describe the center and spread of the chi-square distributions.
Shape - skewed right because can't be zero
µ = df = tipping point
mode = df - 2 = peak
spread = SD = sqrt(2*df)
9. Chi-square test is a non-parametric test (a non-parametric statistical test is a test whose model does not specify conditions about the parameter of the population from which the sample is drawn.). It is used for identifying the relationship between a categorical variable and denoted by χ2.
10. A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.
11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.
Learn more about Chi- square distribution at:
https://brainly.com/question/30259945
#SPJ4
help asap pls pls <3333
The volume of the rectangular prism is 60 inches cube.
How to find the volume of a rectangular prism?The diagram above is a rectangular prism. The volume of a rectangular prism can be found as follows:
volume of a rectangular prism = lwh
where
l = length of the rectangular prismw = width of the rectangular prismh = height of the rectangular prismTherefore,
l = 4 inches
w = 3 inches
h = 5 inches
volume of a rectangular prism = 4 × 3 × 5
volume of a rectangular prism = 60 inches cube
learn more on volume here: https://brainly.com/question/11168779
#SPJ1
7. in model 1, if the length of the arrow represents time, then for those cancerous cells, what hap pens to the time that is necessary for the cell cycle? what implication might this have for doctors who are treating cancer patients?
The time necessary for the cell cycle for cancerous cells is significantly shorter compared to normal cells.
This implies that cancerous cells reproduce faster and therefore are able to spread more quickly. Doctors should be aware of this accelerated process so that they can provide more effective treatment options to their patients.
Explanation: In Model 1, the length of the arrow represents the time necessary for a cell to complete its cell cycle. For cancerous cells, the cell cycle is significantly shorter compared to normal cells.
This implies that cancerous cells can reproduce more quickly, and therefore spread more quickly. It is important for doctors to be aware of this so that they can make more informed decisions when it comes to treating cancer patients.
They should have an understanding of the accelerated process of cancerous cells, and use this to create better treatment plans for their patients.
This may include more aggressive methods of treatment such as chemotherapy and radiation, in order to try and stop the rapid spread of cancerous cells.
To know more about cancerous cells click on below link:
https://brainly.com/question/436553#
#SPJ11
HELPPP
complete the problem by creating two binomials that represent that sides of the shape . Then multiply to get a quadratic equation . Draw a picture to help set up the problem . 6. Albert installs swimming pools . While the pools can come in different sizes, Albert only offers rectangular pools that are always twice as wide as they are long. He also puts a deck around the entire pool, and the deck is always 4ft wide on each side. Write an equation to represent the total area of the pool and deck.
The equation that represents the total area of the pool and deck is: A(x) = 2x² + 24x + 64.
Describe Binomial?In algebra, a binomial is a polynomial that consists of two terms connected by either an addition or a subtraction operator. A binomial can be written in the form (ax + b) or (ax - b), where "a" and "b" are constants and "x" is a variable.
Binomials are used in a variety of algebraic operations, such as factoring, expanding, and solving equations. They also appear in binomial probability distributions and binomial theorem.
Let's start by drawing a diagram to visualize the problem:
___________
| | 4 ft
| _________|_________
| | | |
| | | |
| | | | 2x
| | | |
| |_________|_________ |
| | 4 ft
|__________ |
2w
The rectangular pool is twice as wide as it is long, so we can let the length be x, and the width be 2x.
The deck around the pool is 4 feet wide on each side, so the total width of the pool and deck is (2x + 8), and the total length is (x + 8).
Therefore, the total area of the pool and deck can be represented as:
(2x + 8)(x + 8)
Expanding the expression, we get:
2x² + 24x + 64
So the equation that represents the total area of the pool and deck is:
A(x) = 2x² + 24x + 64
where A(x) is the area of the pool and deck, and x is the length of the pool.
To know more about expression visit:
https://brainly.com/question/29492703
#SPJ1
PLEASE HELP SOMEONE NEED TO DRAW A NUMBER LINE!!!
Answer=30 I think
Step-by-step explanation:
Blue card chances: 5/25=%20 Afterwards: 4/25=%16/2=%8
Red card chances: 12/25=%48 Afterwards: 11/25=%44/2=%22
Green card chances: 8/25=%32
Red and Blue card chances: %68
Answer=30 I think
in 2000, a total of 40,255,000 taxpayers in the united states filed their individual tax returns electronically. by the year 2014, the number increased to 214,014,920. what is the geometric mean annual increase for the period? (round your answer to 2 decimal places.)
Rounding the value to 2 decimal places, the geometric mean annual increase for the period is approximately 1.18.
Geometric mean annual increase for the period:
Let A be the initial value and B be the final value of the given data for the geometric mean annual increase for the period in the United States from 2000 to 2014.
A = 40,255,000 and B = 214,014,920.
To find the geometric mean annual increase for the period, we need to use the formula:
Geometric mean = (B/A)^(1/n), where n = the number of years elapsed.
Therefore, n = 2014 - 2000 = 14 years.
Substituting the values of A, B, and n in the above formula, we get:
Geometric mean = (214,014,920/40,255,000)^(1/14) ≈ 1.1802.
Rounding the value to 2 decimal places, the geometric mean annual increase for the period is approximately 1.18.
Answer: 1.18.
To learn more about geometric mean, refer below:
https://brainly.com/question/29199001
#SPJ11
what is the approximate probability that the actual proportion requiring aid will exceed that value? (round your answer to four decimal places.)
The approximate probability that the actual proportion requiring aid will exceed 0.08 is 0.5 (or 50%) rounded to four decimal places.
Given: The number of members in town = 400
The number of members requiring aid = 32
The proportion of members requiring aid = (number of members requiring aid) / (total number of members) = 32 / 400 = 0.08
To find the approximate probability that the actual proportion requiring aid will exceed this value, we need to assume a distribution for the proportion of members requiring aid. Assuming a normal distribution, we can use the Central Limit Theorem to approximate the sampling distribution of the sample proportion.
The standard error of the sample proportion is given by:
SE = √[p(1-p)/n]
where p is the population proportion and n is the sample size.
Substituting the values, we get:
SE = sqrt [(0.08 × 0.92) / 32] = 0.043
To find the probability that the actual proportion requiring aid will exceed 0.08, we can standardize the distribution using the z-score formula:
z = (x - p) / SE
where x is the value of the proportion we are interested in, p is the population proportion, and SE is the standard error of the sample proportion.
Substituting the values, we get:
z = (0.08 - 0.08) / 0.043 = 0
The probability that the actual proportion requiring aid will exceed 0.08 is equal to the probability of observing a z-score greater than 0, which is 0.5 (or 50%).
Learn more about probability at
https://brainly.com/question/30034780
#SPJ4
The question is -
The towing service in town contracts with the club to come to the aid of up to 32 members in the next 12-month period. What proportion is that of the 400 members in town? .08 What is the approximate probability that the actual proportion requiring aid will exceed that value? (Round your answer to four decimal places.)
If Joseph has 12 pineapples and sells them at a farmers market for $4.75 dollars each, how much money does he make if he sells 7 of them?
Answer:
$57
Step-by-step explanation:
12*4.75=57
siona bought 10 outfits to wear to church. the shirt has a price of $3.50 and a pair of shorts has a price of $4.00. how many shirts and pairs of shorts did she buy when she spent a total of $36.50?
Siona bought 7 shirts and 3 pairs of shorts when she spent a total of $36.50. The problem can be solved using a system of equations.
Let's use a system of equations to solve this problem:
Let x be the number of shirts that Siona bought, and y be the number of pairs of shorts that she bought. Then we have:
Equation 1: x + y = 10 (Siona bought 10 outfits in total)
Equation 2: 3.50x + 4.00y = 36.50 (The total cost of the outfits is $36.50)
To solve for x and y, we can use substitution or elimination. Let's use substitution:
From Equation 1, we can solve for x in terms of y:
x = 10 - y
Substitute this expression for x into Equation 2:
3.50(10 - y) + 4.00y = 36.50
Simplify and solve for y:
35 - 3.50y + 4.00y = 36.50
0.50y = 1.50
y = 3
Now we can substitute y = 3 back into Equation 1 to solve for x:
x + 3 = 10
x = 7
Therefore, Siona bought 7 shirts and 3 pairs of shorts when she spent a total of $36.50.
Learn more about algebraic equations here: brainly.com/question/953809
#SPJ4
David has a coin collection. He keeps 11 of the coins in his box, which is 5% of the
collection. How many total coins are in his collection?
Insert the values given in the problem then scale up or down
to find the missing value.
coins
percent
100
Scaling up, David has 220 coins in his collection with 5% of 11 of the coins kept in his box.
What is a scale up?A scale up represents an increase or growth.
Scale factors are ratios comparing two quantities or values.
Proportionately, if 5% represent 11 coins, 100% will be 220 coins.
The number of coins David keeps in his box = 11
The percentage of the coins kept in the box = 5%
Thus, proportionately, 11 = 5%; therefore, 100% = 220 (11 ÷ 5%).
Learn more about ratios, scale factors, and proportions at https://brainly.com/question/29285928.
#SPJ1
if one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is a queen? leave your answer as a reduced fraction.
If one card is randomly selected from a well-shuffled standard deck of 52 cards, the probability that the card selected is a queen is 1/13. This is because there are 4 queens in a deck of 52 cards, therefore, the probability of getting one queen out of the 52 cards is 4/52, which can be simplified to 1/13.
The probability that the card selected is a queen is calculated using the formula:
P(E) = n(E) / n(S)
where:
P(E) = probability of an event
n(E) = number of ways an event can happen
n(S) = total number of possible outcomes
In this case, n(E) is 4 (since there are 4 queens in a deck of 52 cards), and n(S) is 52 (since there are 52 cards in a deck), so:
P(E) = 4 / 52
P(E) = 1/13
What is the probability that the card selected is a queen : https://brainly.com/question/27244152
#SPJ11
four times the sum of a number and four is 136. translate into an equation and then solve for the number?
Answer: y-98
Step-by-step explanation:
Chang needs to drive 11 miles to work. So far, he has driven 4.7 miles. How many more miles must he drive?
Answer:
6.3 miles
Step-by-step explanation:
11-4.7 = 6.3 hope this helps
He requires to travel 6.3 miles more to reach work.
Distance is the measure of how far apart two points are. It is a scalar quantity that is typically measured in units such as meters, kilometers, miles, feet, or inches.
Since the total distance required to be traveled by Chang is 11 miles.
Let S = total distance = 11
given distance traveled is 4.7 miles
take this traveled distance of 4.7 miles as x
now let S = x+y
replacing the given values where S = 11, x = 4.7
11= 4.7+y
y=11-4.7
y= 6.3
hence the remaining distance required to be traveled by Chang is 6.3 miles.
For more about distance please refer to: https://brainly.com/question/30510042
The sine is negative between 180 and 360 degrees true or false
Answer:
true
Step-by-step explanation:
3rd quadrant sine is (-)
4th quadrant sine is (-)
a bag contains tiles with the letters to spell the word colorado. what is the theoretical probability of drawing the letter o?
Theoretical probability of drawing the letter "o" is 1/4, or 0.25 as a decimal.
The probability of drawing the letter "o" from the bag of tiles depends on the number of tiles with the letter "o" and the total number of tiles in the bag.
Since the word "Colorado" has two "o's", there are two "o" tiles in the bag. The total number of tiles in the bag is the number of letters in the word "Colorado", which is 8.
Therefore, the theoretical probability of drawing the letter "o" is:
P("o") = number of "o" tiles / total number of tiles
= 2/8
= 1/4
So the theoretical probability of drawing the letter "o" is 1/4, or 0.25 as a decimal.
Learn more about probability
https://brainly.com/question/30034780
#SPJ4
Which of the following best explains why regional identities have led to independence movements in the United Kingdom but not in Mexico?
A history of the regions' existence as separate states in the United Kingdom.
Regional identities have led to independence movements in the United Kingdom but not in Mexico because of the history of the regions' existence as separate states in the United Kingdom.
Reason of regional identities:
In the United Kingdom, there are four countries with distinct regional identities: England, Scotland, Wales, and Northern Ireland. Each of these countries has a unique culture, language, and history, which has led to a sense of national pride and identity.Regional identities in the United Kingdom have played a significant role in independence movements.
For example, Scotland has a long history of wanting independence from the United Kingdom. The country was an independent state until it joined the United Kingdom in 1707.
However, many Scottish people feel that their cultural and political identity is different from the rest of the United Kingdom and have called for a referendum on Scottish independence.Mexico, on the other hand, is a unitary state with a strong central government. The country has a long history of political and cultural unity, which has led to a sense of national identity.
Therefore, the history of the regions' existence as separate states in the United Kingdom best explains why regional identities have led to independence movements in the United Kingdom but not in Mexico.
To know more about independence:
https://brainly.com/question/4273396
#SPJ11
The triangles are similar. Find the value of x.
Since the triangles are similar, the value of x is equal to: C. 18 units.
What are the properties of similar triangles?In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
By applying the properties of similar triangles, we have the following ratio of corresponding side lengths;
AC/RS = AB/RT
By substituting the given side lengths into the above equation, we have the following:
x/24 = 24/32
By cross-multiplying, we have the following;
32x = 24(24)
32x = 576
x = 576/32
x = 18 units.
Read more on triangle here: brainly.com/question/22891315
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.