Answer:
a) The mean is 225 and the standard deviation is 11.12.
b) It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
c) No, since 240 is less than 2.5 standard deviations from the mean.
Step-by-step explanation:
For each adult American, there are only two possible outcomes. Either they believe the overall state of moral values in the US is poor, or they do not. The adults are independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In the binomial distribution, a value is considered to be unusual if it is more than 2.5 standard deviations from the mean.
45% of adult Americans believe that the overall state of moral values in the United States is poor.
This means that [tex]p = 0.45[/tex]
(a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans.
Sample of 500 means that [tex]n = 500[/tex]
Mean:
[tex]E(X) = np = 500*0.45 = 225[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.45*0.55} = 11.12[/tex]
The mean is 225 and the standard deviation is 11.12.
(b) Interpret the mean.
It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
(c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans
2.5 standard deviations above the mean is:
225 + 2.5*11.12 = 252.8
So 253 or more would be unusual, 240 no.
Consider the equation y=−4x+3. What are the slope and y-intercept?
Answer:
m=-4, b=3
Step-by-step explanation:
Answer:
Slope = -4
Y-intercept = 3
Step-by-step explanation:
66 > 58.5
True or False?
Answer:
66>58.5 true statement
Answer and Step-by-step explanation:
66 > 58.5 is true.
This is because 66 is a bigger number than 58.5.
The > sign means a number is greater than another number, and the < sign means a number is less than another number.
#teamtrees #PAW (Plant And Water)
Find the solutions of the quadratic equation 5x2- x+ 6 = 0.
Find the measure of angle b.
62°
65°
A) 45°
C) 54°
B) 59°
D) 53
Answer:
D) 53°
Step-by-step explanation:
I am assuming that you are talking about a triangle and those two numbers, 62 and 65 , are the degrees of the two angles.
The sum of the measures of the interior angles of a triangle is 180°.
62 + 65 + b = 180
180 - 127 = 53°
Pls help I will give points
Answer:
60
Step-by-step explanation:
determine how (if possible) the triangles can be proved similar
Answer: sas
Step-by-step explanation:
True or false answer need ASAP
Answer:
Fals, True
Step-by-step explanation:
During his first vet visit, Pedro's puppy weighed
6 pounds. On his second visit, he weighed
91 pounds. How much weight did he gain
between visits?
Answer:
85 pounds
Step-by-step explanation:
did the dog not go to the vet in like 2 years??? anyways its 91-6
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 sixth grade students
Step-by-step explanation:
To find how many 6th grade students are at the school, divide 100 by 0.4
100/0.4
= 250
So, there are 250 sixth grade students at the school
HELP PLEASE WILL GIVE BRAINLST I WILL DO ANYTHINGGGGGGGGGGGGG
Answer: B) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
Answer: c) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
A customer makes a purchase of $285 and uses a MCVS credit card. What percent will the
bank charge the store?
A. 4%
B. 4.5%
C. 5%
D. 6%
Christina is buying candy for her and her friends at the deli. She buys 6 bags of sour patch kids for $1.19each. How much does Christina spend on candy?
$7.14 I hope this helps.
Answer:
She spends $7.14
Step-by-step explanation:
You would multiply in this question and you would multiply $1.19*6 and that will give you your product of $7.14.
What equation is generated if f(x) = x is moved to the right 5 units and then down 8 units?
Answer:
f(x)=x-13
Step-by-step explanation:
f(x)=(x-5)-8
f(x)=x-13
Kevin has 1,066 trading cards. Each album holds 26 cards. How many albums does Kevin need to hold all his cards?
Answer:
41
Step-by-step explanation:
Ok so you would divide 1,066 by 26 which would equal 41. Have a great day!
2. How many solutions does the equation x(x + 12) = 0 have?
Answer:
Tanong mo sa teacher mo ha ha ha ha
The equation x(x + 12) = 0 have 2 solutions.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation,
x(x + 12) = 0
To find the solution:
x = 0 and x = -12.
Therefore, x = 0 and x = -12 are the solutions.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ6
ASAP
How many roots does the polynomial y=x^3-6x^2+30 have?
Answer:
3
Step-by-step explanation:
i got it right on a test
The difference of five times a number and 11 is 39
Answer:
no
Step-by-step explanation:
I mean the point s is hi
Solve for C
-1.3 = -0.8+c/3.4
Solve for z.
2 + 8 - z = -24
Answer:
Z=34
Step-by-step explanation:
Answer:
z = 34
Step-by-step explanation:
Given
2 + 8 - z = -24
Combine Like Terms-
10 - z = -24
Rearrange Terms-
-z + 10 = -24
Subtract 10 from both sides
-z + 10 - 10 = -24 -10
Simplify
-z = -34
Divide -1 from both sides
-z/-1 = -34/-1
Answer-
z = 34
The table below shows the number of miles Alan biked over time. Alan biked at a constant speed. Find the rate of change.
Pls I need help for my grade
Answer:
C
Step-by-step explanation:
cuz when he replace x with all numbers, it matches the graph
Create a function that has all of the following:
- A vertical asymptote at 3, 6, and -2
- A hole at -2 and 1
- A zero at 5 and 4
- A horizontal asymptote at y=7
You may need to add more zeros or more asymptotes
(I’m in highschool, I don’t know why it said college sorry)
Calculate and write your answer in standard form.
(7x10^-4) divided by(4x10^4)
I
Enter your math answer
Find the value of x and y in the diagram below.
A. X= 9/2, y = 9
B. x = 18, y = 9-13
C. X= 9/3, y = 4.5
D. = 6/3, y = 3/5
Answer:
D) x=6√3, y=3√3
Step-by-step explanation:
Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3
This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3
This means that the correct answer is D) x=6√3, y=3√3
Refer to the diagram below to understand where I got these lengths.
Whoever replies first I give brainliest pls ASAP
Answer:
8
Step-by-step explanation:
the answer is 8 because 8 times 5 is 40
Evaluate 32 + (6 - 2) · 4 -
6
(1 point)
(a)20
(b)23
(c)50
(d)26
Answer:
Its D because I did the math
I need help immediately
Answer:
<DEC= 45
Step-by-step explanation:
those two lines are parallel which means they are cross by the diagonal line at the same angle
180-135= 45
What is the measure of the angle
Protractor tool
HELP HELP ME PLEASEEEEEEE
PLEASE HELP WITH BOTH!!! MARKING BRAINLIEST
Answer: The perpendicular distance between the two parallel sides of a trapezium is known as the height of a trapezoid. In simple words, the base and height of a trapezoid are perpendicular to each other. The trapezoids can be both right trapezoids (two 90-degree angles) and isosceles trapezoids (two sides of same length).