Using the binomial distribution, it is found that there is a:
0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected Americans own a cat.0.4482 = 44.82% probability that more than 3 own a cat.What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
30% of Americans own a cat, hence p = 0.3.A sample of 8 Americans is taken, hence n = 8.The probability that exactly 2 out of 8 randomly selected Americans own a cat is P(X = 2), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]
0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected Americans own a cat.
The probability that more than 3 own a cat is given by:
[tex]P(X > 3) = 1 - P(X \leq 2)[/tex]
In which:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576[/tex]
[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]
[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]
Then:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518[/tex]
[tex]P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482[/tex]
0.4482 = 44.82% probability that more than 3 own a cat.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
The digits 5, 7, 1, and 9 are to be used in a roll number in a school. How
many different roll numbers are possible if repetitions are not permitted?
Answer:
1, 7, 5, 9
7, 1, 9, 5
9, 5, 1, 7
But there are about 10 possible combinations.
Step-by-step explanation:
Single post math redo question
Answer:
See attached graph
Step-by-step explanation:
We need to convert the polar coordinates into Cartesian coordinates using the rules [tex]x=r\:cos\theta[/tex] and [tex]y=r\:sin\theta[/tex] (see table in attached file).
The converted points will start to resemble a circle with a horizontal pole and a diameter of 4, so by connecting the points, we get our equation [tex]r=4\:cos\theta[/tex].
Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?
Answer:
10,000
Step-by-step explanation:
if it's including the teacher then it should be 10,000
Suppose that two cards are randomly selected from a standard 52-card deck.
(a) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
(b) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
Answer:
A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)
B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)
Step-by-step explanation:
correct me if. wrong
Which fraction equals 29 }}16 ?
Kyle lives in a state that has a 6% (or 0.06) sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables?
Group of answer choices
t = 6c
t = 0.6c
t = 0.06c
t = c + 0.06
Answer:
The answer is the 3rd option
t = 0.06c
Answer:
t = 0.06c
Step-by-step explanation:
The quotient of w and 7 is less than 17.
Answer:
17 < w / 7 is my answer. I am not sure to correct.
arrange in descending order
Answer:
7 / 16, 3 / 7, 1 / 5
Step-by-step explanation:
1 / 5 = 0.2
3 / 7 = 0.428
7 / 16 = 0.4375
In descending order,
0.4375, 0.428, 0.2
Hence the answer is 7 / 16, 3 / 7, 1 / 5
Find the area of the triangle.
16 ft
20 ft
Please help
Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)
Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
NOW I NEED HELP NOW PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Mya is redecorating her bedroom. The room is in the shape of right rectangular prism.
The dimensions of the room are: 12 feet in length by 14 feet in width by 8 feet in height.
She plans to cover the floor with tile. The cost of the tile is $4 per square foot.
She plans to cover the walls and the ceiling with paint. Each container of paint costs $16 and can cover 146 ft².
What is the total cost of the tile flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
The total square feet of flooring needed is ____ and the flooring cost will be ____
The total square feet that will need to be painted is ____ and the paint cost will be ____
The total cost of the tile flooring and paint needed for this room is ____
Answer: took the test and the answers are at the bottom. cheers mate :)
Step-by-step explanation:
What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90
Answer:
6 3 5 6 8 8
Step-by-step explanation:
number is farthest apart from others
Answer:
The correct answer is 90
Step-by-step explanation:
90 is the biggest number in the number set so therefore it is an outlier.
Have an amazing day!!
Please rate and mark brainliest!!
hi there im giving brainliest to the most accurate answer.
please help! What is 75 % of 62-(98/4)
Answer:
28.13
Step-by-step explanation:
62 - (98/4)
62 - 24.5 = 37.5
75% of 37.5 is 28.125, or 28.13.
Answer:
22
Step-by-step explanation:
98/4 = 24.5
62-24.5 = 37.5
75% of 37.5
= about 22
If y varies inversely as x, and y=16 when x=4, find y when x=10
Answer:
40
Step-by-step explanation:
you have to multiply x by 4 to get y when x=4 and y=16. so if x=10, then you have to multiply what x is (10) by 4 because there is a common ratio.
hope this helps!! please give brainliest!!!!!!
The price of a used car that Billy is buying is $5,000. If he has to pay 8% in taxes, how much will be have to pay for the car including taxes?
Answer:
5400
Step-by-step explanation:
8% of 5000 is 400. 5000 + 400 - 5400.
Answer:
$5400
Step-by-step explanation:
We need to find the amount of tax in $
So, if 100% = $5000
8% = ?
cross multiply to be : 8 × 5000
100
to get $400
Add it to the $5000 to get $5400
The area of a rectangular field is 1.12×10^45 square feet. If the length of the field is 7×10^11 feet, and the width of the field can be written as 1.6×10x feet, what is the value of x?
Answer:
x = 10^34
Step-by-step explanation:
length × width = area
area/length = width
width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)
width = 1.12/7 × (10^45)/(10^11) ft
width = 0.16 × 10^34 ft
width = 1.6 × 10^34 ft
width = 1.6 × x ft
x = 10^34
The value of x is [tex]10^3^2[/tex] or [tex]\rm x =10^3^2[/tex]
It is given that the area of a rectangular field is [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
It is required to find the value of x
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have:
Area of rectangle = [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
The length of the rectangle = [tex]7\times 10^1^1[/tex] feet
The width of the rectangle = [tex]\rm 1.6\times 10x[/tex] feet
After putting the values in the formula, we get:
[tex]\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3[/tex]
[tex]\rm x =10^3^2[/tex]
Thus, the value of x is [tex]10^3^2[/tex]
Learn more about the area here:
https://brainly.com/question/14383947
You need 3 sticks of butter for every 24 giant cookies you bake.
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
Given that :You need 3 sticks of butter for every 24 giant cookies you bake.
----------------------------------------------------------------------------------------------------------
Sticks of butter Number of cookies
3 24
x 16
5 y
----------------------------------------------------------------------------------------------------------
Let the unknown be x and y..
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 24/3 = 8
Since the number of cookies is 16 then 16/8 = 2
Thus x = 2
Next for y.
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 5 * 8 = 40
Thus, y = 40
----------------------------------------------------------------------------------------------------------
Completed table below:
Sticks of butter Number of cookies
3 24
2 16
5 40
----------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
See below ↓
Step-by-step explanation:
Given
You need 3 sticks of butter for every 24 cookiesBase rate
no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies16 cookies
No. of sticks = 16/8No. of butter sticks = 25 butter sticks
No. of cookies = 8 x 5No. of cookies = 40Can anyone help me on this question?
HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER
Answer:
we need a picture to help
Step-by-step explanation:
Answer:
what is the question man stop messing around
f(x)=−2x+3; Domain: {−1,0,2}
Find the range of the function for the given domain.
Answer:
Range: 1,3,7
Step-by-step explanation:
(-1,1),(0,3),(2,7)
2(-1)+3
2(0)+3
2(2)+3
Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[
[3 6 3]
( 3 3. 3]
THIS ANSWER IS CORRECT
Solution:
[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
Explanation:[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]
The rule for a reflection over the x -axis is (x,y) → (x,−y)
===============================================================
or multiply the matrix with: [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]
[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]
Final answer:[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
A trough contains a certain amount of sand. After Jamie used it to fill 2.4-kilogram bag, a 650- gram bowl, and a 3-kilogram, 125- gram pail, she realized she had a kilogram of sand left in the trough. How much sand was in the trough at first?Give your answer in grams, using a comma.
Explain how you got your answer
Answer:
7kg 275g
Step-by-step explanation:
hope this helps
Answer:
7kg 275g
Step-by-step explanation:
Add all of them together and then add what's left. Hope this helps! :)
Please help i really dont like iready and im really confused. thank you!
Answer:
15 inches cubed
Step-by-step explanation:
length 2 1/2 in
width 1 1/2 in
height 4 in
V= = l x w x h
V = 2 1/2 x 1 1/2 x 4
60/4 = 15
jill has a small treasure box
If it’s 1 pm what time will it be in 30 hours
Answer:
7pm
Step-by-step explanation:
1pm + 24 = 1pm
30 - 24. = 6
1pm + 6 = 7pm
Susan has a collection of 44 nickels and dimes. If the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Answer:
33 nickels and 11 dimes
Step-by-step explanation:
11*3= 33
11 + 33 = 44
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:13.1
Step-by-step explanation:
Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]
PLEASE HELP ME WILL GIVE BRAINLIEST
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
Carl is arranging 86 chairs for a
dinner party. Carl places 5 chairs at
each table. Any remaining chairs will
be set aside. How many tables will
have 5 chairs?