Answers
Answer:
a. 0.41
b. 0.22
Step-by-step explanation:
The sum of probabilities over all outcomes is 1. This fact can be used to fill the table. The other questions can be answered by reference to the table.
__
1.The total of all probabilities is 1:
k +0.23 +0.18 +0.26 +2k = 1
3k = 0.33 . . . . . . . collect terms, subtract 0.67
k = 0.11 . . . . . . . divide by 3
2k = 0.22 . . . . find 2k
Then the table is ...
[tex]\begin{array}{c|ccccc}n&1&2&3&4&5\\p(n)&0.11&0.23&0.18&0.26&0.22\end{array}[/tex]
a.Landing on 2 or 3 are mutually exclusive outcomes, so the probability of one or the other is the sum of their individual probabilities:
p(2 or 3) = 0.23 +0.18
p(2 or 3) = 0.41
__
b.The table tells us ...
p(5) = 0.22
Related Questions
What is the slope of a line that passing through the points ( 6 , -10 ) and ( 8, -18) ?
Answers
Answer:
Slope = -4
Step-by-step explanation:
Given:
Point 1: (6,-10)Point 2: (8,-18)Rate of change (Slope) formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]
Where:
y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).
[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]
Finally, let's simplify the fraction on the right hand side as needed.
[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]
Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.
What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75
Answers
Answer:
Median = 58.5
Q1 = 55
Q3 = 65
Interquartile = 10
Step-by-step explanation:
first let’s correct the data set :
It’s 38 46 55 56 58 59 61 65 67 75 not 38 46 55 56 558 59 61 65 67 75
Data set : 38 46 55 56 58 59 61 65 67 75
Median:
After we put Our data set from Smallest to largest
we define the median as the middle number of the data set but our set consists of an even number which is 10
In this case the median is the average of the two middle numbers which are the 5th and 6th numbers
38 46 55 56 [58 59] 61 65 67 75
Then
Median = (58+59)/2 = 117/2 = 58.5
quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58
Then Q1 = 55 because it’s the middle number.
quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75
Then Q3 = 65 (Easy to spot)
Interquartile = Q3 - Q1 = 65 - 55 = 10
Answer number 16 please
Answers
Jim's cards increased more
Which of the following conclusions is not supported by this diagram?
There are currently several million people living in the country.
Slightly more boys than girls were born during the past five years.
O The population growth has been steadily increasing for the past 25 years.
O The country experienced a population "boom" between 30 and 35 years ago.
Answers
Answer:
The answer should be A
Step-by-step explanation:
Hope this helps.Tell me if its wrong.
The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.
The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.
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Two siblings, Miko and Cheko, receive some pocket money every month. This month, the ratio of Miko's pocket money to Cheko's pocket money is 8:12. Cheko's pocket money is $660. How much must Cheko give to Miko such that each of them have an equal amount of pocket money?
Answers
Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of Miko's pocket money to Cheko's pocket money.
= 8:12
= 2:3
Now,
Let's represent Miko's pocket money as 2x and Cheko's pocket money as 3x.
We know that,
3x = $660
x = $220
Miko's pocket money.
= 2x
= 2($220)
= $440.
To make their pocket money equal,
Cheko needs to give half of the difference between their pocket money to Miko.
The difference between their pocket money.
= $220 (i.e., $660 - $440).
Half of that is $110.
Therefore,
Cheko must give $110 to Miko so that each of them has an equal amount of pocket money, which is $550.
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The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Answers
Answer:
b = 10 ft , h = 6 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
let base = b theh height h = b - 4
given A = 30 , then
[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )
b(b - 4) = 60 ← distribute parenthesis on left side by b
b² - 4b = 60 ( subtract 60 from both sides )
b² - 4b - 60 = 0
(b - 10)(b + 6) = 0
equate each factor to zero and solve for b
b - 10 = 0 ⇒ b = 10
b + 6 = 0 ⇒ b = - 6
however, b > 0 , then b = 10
and h = b - 4 = 10 - 4 = 6
then base is 10 ft and height is 6 ft
Find the total surface area of this square based
pyramid.
10t
10 ft
Answers
Answer:
300 is the answer
Step-by-step explanation:
area of triangle-BxH/2
area of square- LxW
10x10=100/2=50
50x4=200
+100
=300
What is the shape of A(-5,1) B(-2,4) C(3,1) D(0,-4)
Answers
Answer: Parallelogram
Step-by-step explanation: Roughly sketched.
4. Triangle D is the image of Triangle A~You can show that Triangle An Triangle D using a sequence of transformations. Which of these statements about Triangle A and Triangle D is true?
A. triangle D is to the left and down from triangle A.
B. triangle D is dilated from triangle A.
C. triangle A and triangle D have interior angle measures that sum to less than 180°
D. triangle A and triangle D are congruent.
Answers
Answer:
C or A po Yan sagut ko sa dalawa pumili Lang akowhat is -2(-y) in expanded form
Answers
Answer:
2y
Step-by-step explanation:
[tex](-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y[/tex]
Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park?
Answers
[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]
[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]
10:45 am to 11:00 am : 15 minutes
11:00 am to 12:00 pm= 1 hour
Total Time= 1 hour 15 minutes.
so he was 1 hour 15 minutes at the park.
went at 10:45 AM
left at 12:PM
to find:the duration he was at the park.
solution:( to find the duration just find the difference of the time he left and went.
= 1 hour 15 mins.
therefore, he was at the park for 1 hour 15 mins.
right triangles trigonometry
I dont understand how to solve this.
Answers
(60)tan(x/4sq14)
Once you find this answer, apply it to the opposite of the 60° angle on the far right.
Then you are going to do the solution of the equation I just stated above, times 4sq14 using the Pythagorean theorem theory shown down below.
a^2 + b^2 = c^2
first answer^2 + 4sq14^2 = C^2
C^2 will then provide the short legs of the larger triangle (they are congruent lengths in a 45-45-90 triangle)
Multiply the value of c times c without squaring either of them, like so, this will lead to the answer of X
C times C = “x”
Hope this helps!
a high school club is researching a tour package offered by the island kayak company. the company charges $35 per person and $245 for the tour guide. which function represents the total cost, c(x), of this kayak tour package for x club members? A. C(x) = 35x B. C(x) = 35x+245 C. C(x) = 35(x+245) D. C(x) = 35 + (x+245)
Answers
The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
How to calculate the total cost on a package?According to the given question, we have the following parameters
Amount charged on tour guide = $245
Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x
Determine the total costTotal cost = Amount charged on tour guide + cost of "x" members
Total cost = 245 + 35x
Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
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Use whole numbers and decimals to write 19.06 in expanded form.
Answers
Answer:
90.125
Step-by-step explanation:
Answer:
Step-by-step explanation:
19.125
Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. The consumer paid the $475. 00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price
Answers
Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
Car's sticker price and dealer's pricea. Car's sticker price:
Using this formula
Car's sticker price=Base price+Options cost+Destination charge
Let plug in the formula
Car's sticker price=$16,558. 16 + $611. 60+$475. 00
Car's sticker price=$17,644.76
b. Dealer price:
Dealer's price=Percent of base price+Percent of options cost+Destination charge
Let plug in the formula
Dealer price=16,558. 16+$611. 60+$475.00
Dealer price=$16,246.7152
Dealer price=$16,246.72 (Approximately)
Inconclusion the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
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A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.
Answers
Answer:
what exactly are you looking for?
Step-by-step explanation:
what is the area of base for 7mm height and 7mm radius cylinder?
Answers
Answer:
153.94 mm^2
Step-by-step explanation:
area of base = area of a circle = Pi * radius squared
radius squared = 49
area of base = Pi * 49
area of base = 153.94
9. Elena is selling tickets for an amusement
park. She sells triple the number of
student tickets as adult tickets and
she sells 8 fewer senior tickets than
adult tickets
a Write expressions for the number of
adult tickets, student tickets, and
senior tickets, using a as the number of adult tickets
b. Using your answers from part b, write
a simplified expression for the total
number of tickets Elena sells
1
C. Elena sells 15 adult tickets, does
she sell at least 100 total tickets?
Show your work
Answers
Step-by-step explanation:
A) a = students tickets
3a = adult tickets
3a+8 = senior tickets
B) a + 3a + 3a + 8 = Tt
C) 15 + 3(15) + 3(15) + 8 = 113
Therefore, she sells at least 100 total tickets
homework help please!!!!!!!!!!
Answers
Answer:
the line is equal to 180 degrees so knowing that we can make our equation
(2x+3)+(x-6)=180
now all we have to do is combine like terms
3x-3=180
3x=177
x=59
plug back in
Value of A (2(59)+3)= 121
Value of B (59-6)= 53
please help asap i need this for my essay (35 points)
ʏᴏᴜ’ᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ɪɴ ᴘʀᴇᴠɪᴏᴜꜱ ʟᴇꜱꜱᴏɴꜱ,
ʙᴜᴛ ᴄᴏᴜʟᴅ ʏᴏᴜ ᴜꜱᴇ ꜰᴜɴᴄᴛɪᴏɴ ɴᴏᴛᴀᴛɪᴏɴ ᴛᴏ ᴀᴅᴅ ᴛᴡᴏ ꜰᴜɴᴄᴛɪᴏɴꜱ?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ʏᴏᴜ ᴄᴏᴜʟᴅ ꜱɪᴍᴘʟɪꜰʏ ꜰ(x) + ɢ(x) ɪꜰ ꜰ(x) = 3x + 2 ᴀɴᴅ ɢ(x) = 4x?
ᴡʜᴀᴛ ᴀʙᴏᴜᴛ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ᴏꜰ ᴀ ꜰᴜɴᴄᴛɪᴏɴ ꜱᴜᴄʜ ᴀꜱ ꜰ(ɢ(x))?
ʜᴏᴡ ᴅᴏ ʏᴏᴜ ᴛʜɪɴᴋ ꜰ(ɢ(x)) ᴄᴏᴜʟᴅ ʙᴇ ꜱɪᴍᴘʟɪꜰɪᴇᴅ?
ᴡʜᴀᴛ ꜱɪᴛᴜᴀᴛɪᴏɴꜱ ᴄᴀɴ ʏᴏᴜ ᴛʜɪɴᴋ ᴏꜰ ᴡʜᴇʀᴇ ᴄᴏᴍʙɪɴɪɴɢ ꜰᴜɴᴄᴛɪᴏɴꜱ ᴡᴏᴜʟᴅ ʙᴇ ᴜꜱᴇꜰᴜʟ?
different font because brainly is censoring it for no reason?
Answers
Answer:
I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.
Step-by-step explanation:
Solve for X and Y
Picture above
Answers
Answer...
ok done. Thank to me >:3
can someone help i’ll give brainlist
Answers
Answer: A pet store had a total of 24 fish. And they separated the fish into 4 different fish tanks tanks.
Step-by-step explanation: 24 fish / 4 fish tanks :)
10Which best describes a system of equations that has infinite solutions?
Answers
Answer:
FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A
Step-by-step explanation:
Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by? y y2 – 1 y 1 y2 y 2
Answers
An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us
[tex]y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}[/tex]
As we can see in the equation that there are 2 denominators, which are,
y²-1y+1In the two of the expressions that are stated above the expression (y²-1) is of a higher power.
Hence, Janes should multiply both sides of the equation by (y²-1).
Learn more about Equation:
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is y=-x+2 a linear equation
Answers
Answer:
yes it is
Step-by-step explanation:
it is linear because the number can fall on both the x and y axis
Answer:
y = -x + 2 is a Linear Equation.
Step-by-step explanation:
The equation is in slope-intercept form of a linear function.
Slope-intercept form: y = mx + b ---> y = y, -x = mx, b = 2
Determine the arc length of 24pi find the radius
Answers
Length (24,pi)
Result: 2
30 POINTS IF YOU ANSWER CORRECTLY!!!! I NEED HELP ASAP PLEASE!!! ALL THE ANSWERS OF THIS ONLINE ARE INCORRECT SO PLEASE HELP!!! Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Byron conclude from this experiment?
Answers
Answer:
Step-by-step explanation:
Given Byron's discovery of 1,200 volunteers with coughing problems.
He separates them into two categories:
1. There is no medication given to the control group.
2. The medication is given to the treatment group.
In addition, patients in the treatment group have fewer signs of coughing. As a result, Byron can conclude that the new medication works in the treatment group to reduce coughing.
The medicine given to the people, according to Byron, worked because the treatment group showed signs of less coughing.
Answer: Deduction is the effectiveness of the medication is positive since purpose for the trial was achieved. The cough symptoms responded to the medication while the control method used on the other group yielded no visible result. Medication was a better choice to the control method
Step-by-step explanation: Those who received the medication had their symptoms reduced while those who had other control measures showed no form of improvement.
a brick has a mass od 1,200 grams. what is the mass of the brick in kilograms?
Answers
Answer:
1.2 kilograms
Step-by-step explanation:
1 kilogram is equal to 1000 grams
Therefore we can divide the weight by 1000 in order to find the amount of kilograms
1200/1000 = 1.2
Answer:
1.2
Step-by-step explanation:
1 gram is 0.001 kilograms
or 1000 kilograms to a gram
so 1200 grams is 1.2 kilograms
Luke’s payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel
Answers
Because 830 times .012048192771084 equals 840 which is 70 times 12
compare |-0.658| and |-0.653|.
Answers
Can I have brainliest?