Answers
So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :
7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]
8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]
9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]
10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]
11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]
12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]
Related Questions
A piece of wood that is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long. Which equation could be solved to find the number of pieces, n, that can be made?
Answers
Answer:
7 1/10 meter long pieces ca be made.
Step-by-step explanation:
First, find the common denominator between 3/4 and 1/10. If you multiply 1/10 by 2/2 you get 2/20. If you multiply 3/4 by 5/5 you get 15/20. Now that we have the common denominator, how many times can 2/20 go into 15/20? Since 2 x 7 = 14, the answer is 7.
6. A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse?
7.8
11.0
) 1.0
Answers
Answer:
7.8Step-by-step explanation:
Use Pythagorean
[tex]c = \sqrt{a^2+b^2}[/tex]Substitute the values
[tex]c=\sqrt{5^2+6^2}=\sqrt{25+36} =\sqrt{61} =7.8[/tex]Step-by-step explanation:
sqrt(5^2+6^2)= sqrt(25+36)
sqrt(61)= 7.8
Which statement is true? the equation –3|2x 1.2| = –1 has no solution. the equation 3.5|6x – 2| = 3.5 has one solution. the equation 5|–3.1x 6.9| = –3.5 has two solutions. the equation –0.3|3 8x| = 0.9 has no solution.
Answers
The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
How to find one solution of equation?If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
One solution-When the provides the singe value of the given variable, we get one or unique solution.No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
[tex]-3|2x+ 1.2| = -1[/tex]
This equation has one solution. This in not correct option.
The second equation given in the problem is,
[tex]3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}[/tex]
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
Learn more about the solution of the equation here;
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how do i solve this exponential equation
Answers
Answer:
x = 0 or 1/2
Step-by-step explanation:
Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.
__
[tex]3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}[/tex]
_____
Additional comment
A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.
A rectangular banquet room has an area of 182 square meters and a perimeter of 54 meters. Let l and w represent the dimensions of the room in meters. Which statements describe the dimensions of the banquet room? Select all that apply.
Answers
Answer:
Choose all but C
Step-by-step explanation:
Givens
Area = 182 m^2
Perimeter = 54 m
Solution.
B: solves for the length, not the width. Area = L*w. Area / w = L. But to get to the length, you need to solve for the width. So this statement can be used. B is true.
C is not true. The length and width differ by 1 which means one of them is even and the other is odd. See below under A.
D is also true. 2L = 54 - 2w Divide both sides by 2
2L/2 = 54/2 - 2w/2
L = 27 - w
E is true.
L * w = 182 Divide both sides by w
L = 182/w
The only one we don't know about is A. We have to solve the problem to get the answer to A.
P= 2L + 2w = 54
2L + 2w = 54
L + w = 27
L = 27 - w
L*w = 182
(27 - w ) * w = 182 Remove the brackets
27w - w^2 = 182 Subtract 27w - w^2 from both sides.
0 = w^2 - 27w + 182 Notice the sign change. Subtraction does that.
This factors into
(w - 13)(w - 14)
A turns out to be true, because w can be 13 or 14. When W = 13, L = 14.
When w = 14, L = 13
DONT just tell me the letter answer, please explain it. If you can’t read it, it says
“ The production records of a toy
manutacturing company show that 5 out
of every 75 toys have a defect. What is the
probability that a randomly selected toy
manufactured at the company will NOT
have a defect?
Answers
Answer:
Step-by-step explanation:
5/75 toys will have defect
75-5=70
70/75 will not have defect
14/15
how many kilometers per hour would she have been traveling over the speed limit of 60 if covered a distance of 10 km in 5 minutes
Answers
Answer:
60 MPH over the limit
Step-by-step explanation:
5 times 12 - 60
On the celsius scale, what does 0 represent? a. the theoretical coldest possible temperature b. an arbitrary number based on its inventor’s freezer c. the freezing point of water d. the natural temperature of brine
Answers
Answer:
c
Step-by-step explanation:
Answer:
C. The freezing point of water
Step-by-step explanation:
It can't be A since tempature can be negative, B doesn't make sense, and D is incorrect because the natural tempature of brine is -21 degree Celsius. Hope this helps!
please help!
what are the angle measures of a and s?
Answers
Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
S = 153
Because the two sides are parallel the angles on the two sides of the parallel lines in the shape are co-interior (angles add to 180)
So we can do 180 - 91 = 89 to find angle Q
And 180 - 27 = 153 to find angle S
Hope that helps
Tom is in a diving competition. (a) The score, S, for a dive is 60% of the total mark, m, multiplied by the difficulty
factor of the dive, d.
Write down the formula for calculating S in terms of m and d.
Answers
Answer:
S = 0.6md
Step-by-step explanation:
Formula
S = (60% of m) x dConvert 60% to decimal60%/100% = 0.6⇒ S = 0.6md[tex]⟼ \sf \: \blue { \boxed{s \: = 0.6m \times d}}[/tex]
Step-by-step explanation:
To obtain a formula for S which is scoreAs, we know it 60% is equal to 0.6
Therefore,:
[tex]⟼ \sf \: \green { \boxed{s \: = 0.6m \times d}}[/tex]
In conclusion, according to the word problem the score was 60% the total mark multiplied by difficulty as and as we all know it 60% equals 0.6 therefore the score equals 0.6m which is Marks × difficulty factor of the dive
#Study hardA cylindrical can has an 8-cm radius and a height of 11 cm. Find its surface area.
Answers
Answer:
955.168 cm²
Step-by-step explanation:
The formula to find the surface area of a cylinder is :
Surface area = 2 π r ( r + h )
Here,
r ⇒ radius ⇒ 8 cm
h ⇒ height ⇒ 11 cm
So, Let us solve now.
Surface area = 2 π r ( r + h )
Surface area = 2 × 3.142 × 8 ( 8 + 11 )
Surface area = 50.272 × 19
Surface area = 955.168 cm²
please help would appreciate so much
Answers
5+7=12
How many times they buy flowers
96/12 = 8 times
How many roses? 5 each time for 8 times
5*8 =40
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answers
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said
Estimate 6 divided by 253 please show the work
Answers
0.023...
hope it helps...!!!
PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT
16,22,17,23,22,16,25,19
17,23,20,28,35,21,32,21
The data set above displays the ages of the employees at grind coffe shop. Which of the following box plots represents the data set above?
Answers
The box plot that represents the ages of the employees at grind coffee shop is the third box plot.
What is a box plot?It should be noted that a box plot simply means a chart that is used in explanatory data analysis.
In this case, the box plot that represents the ages of the employees at grind coffe shop is the third box plot. It shows the distribution of the numerical data given.
Learn more about box plot on:
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Answer:
Step-by-step explanation: All I can tell you is the answer was not Y.
How much paper will be needed to cover the triangular prism shown?
A. 86 in2
B. 96 in2
C. 102 in2
D. 210 in2
Answers
The answer is 86
Yw :D
Which equation results from taking the square root of both sides of (x 9)2 = 25?
Answers
The values of the x when the square root is taken on both sides are negative 4 and negative 14.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The equation is given below.
(x + 9)² = 25
Taking square root on both sides, then we have
(x + 9) = ±5
When the positive sign is considered, then we have
x + 9 = 5
x = -4
When the negative sign is considered, then we have
x + 9 = -5
x = -14
More about the Algebra link is given below.
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Help me, please I hate homework
Answers
Answer:
in every 4minutes the farmer packed 3pint of strawberry in the morning but in the afternoon she packed 2 pints of strawberries in every 3 minutes so therefore u subtract the minutes in the morning from the afternoon minutes. so it will be 4-3 which is equal to 1
Which digit correctly completes the
comparison below?
21.851 < 21.?05
A. O
B. 5
C. 8
D. 9
Answers
Answer:
D. 9
Step-by-step explanation:
All the other answers are lower than 8.
Jerry climbed 250 steps in 12 1/2 minutes. How many steps did he average per minute?
Answers
Work Shown:
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
Jerry climbed 250 steps in 12.5 minutes
unit rate = (250 steps)/(12.5 min)
unit rate = (250/12.5) steps per min
unit rate = 20 steps per min
The unit rate is basically the same as the average speed.
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
Answers
-3a^2 - 7a + 3 = 0
In order now. A is first one B is second one and C is third one.
Answer is 4
A fully inflated basketball has a radius of 12
centimeters. How many cubic centimeters of air does
your ball need to fully inflate?
Express your answer in terms of pi.
Then estimate your answer using 3.14 to approximate pi
Answers
The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.
How to get the volume of a sphere?The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
V = (4/3)*3.14*R^3
In this case, the radius is 12cm, replacing that we get:
V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3
Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.
If you want to learn more about spheres, you can read:
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6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
Answers
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
25 points
Jose is in 8th grade, and he is researching his favorite colleges. He notices that the current cost of tuition, books and fees at one 4-year college is $14,500 per year.
What will be the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years?
Answers
Here, we are given the cost of Jose for 1 year for attending college i.e $14500/year, and we need to find the total cost for Jose to attend college for 4 years, so here we can just use unitary method, we can just multiply the whole cost for 1 year by 4, to get the total cost for 4 years, as :
[tex]{:\implies \quad \sf Cost\:\: for\:\: 1\:\: year= \$14500}[/tex]
Now, multiplying by 4 on both sides will yield :
[tex]{:\implies \quad \sf Cost\:\: for\:\: 4\:\: years= \$14500\times 4}[/tex]
[tex]{:\implies \quad \boxed{\bf{Cost\:\: for\:\: 4\:\: years= \$58000}}}[/tex]
This is the required answer
The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.
Total cost of tuitionUsing this formula
Total cost of tuition=Cost of tuition books and fees×Number of years
Where:
Cost of tuition books and fees=$14,500 per year
Number of years=4 years
Let plug in the formula
Total cost of tuition=$14,500 per year x 4 year
Total cost of tuition=$58,000
Inconclusion the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.
Learn more about total cost of tuition here:https://brainly.com/question/25109150
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)?
Distance formula: 02 - x)2 + 02 -
(x - 1)2 + (y + 2)2= 25
(x + 2)2 + (x-1)2=5
(x + 2)2 + (-1)2= 25
(x - 1)2+ (y + 2)2=5
Answers
Answer:
(x - 1)2 + (y + 2)2= 25
Step-by-step explanation:
because that is it
hi i don’t know how to do the question in this picture can you help
Answers
Answer:
no... I m not gonna helping you why should I help you sorry but no sorry
A train moves at a constant speed of 50 km/hr. How far will it move in 30 minutes?
A. 10 km
B. 20 km
C. 25 km
D. 45 km
Answers
2. The table shows the number of different color balloons set up for a dart game at a carnival. Which statement is true? 4 Balloon Color red yellow orange green blue purple Number of Balloons 5 6 5 4 10 1 4 F The probability of hitting a red balloon is as likely as hitting a yellow balloon. ba G The probability of hitting a blue balloon is greater than hitting the other color balloons. H The probability of hitting a yellow balloon is less than hitting the other color balloons. J The probability of hitting a green balloon is as likely as hitting a purple balloon.
Answers
Answer: honestly good question
good luck brothah
gabriella anwswered 72 questions correctly on her multiple choice history final and earned a grade of 36%. how many total question were on final exam
Answers
Answer:
200 questions
Step-by-step explanation:
Here,
total answers Gabriella answered=72
grade = 36%
total number of question = ?(X)
We know,
36% of X = 72
or, 36x/100 = 72
or, 36x = 72*100
or, x = 7200/36
or, x = 200
What is 0.000647 in scientific notation?
Answers
Answer:
The answer is
[tex]6.47 \times 10 {}^{ - 5} [/tex]