17
Write the integers that are closest to the number in the middle to complete the statement.
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home. Find a 96% confidence interval for the true proportion of voters who feel this way. a.Find a point estimate for p, the population proportion who thought US spends too little on fighting hunger at home.b.Find a 96% confidence interval for p.
Answer:
a. 0.48
b. The 96% confidence interval for p is (0.457, 0.503).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.
This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].
This is the answer for question a.
96% confidence level
So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]
The 96% confidence interval for p is (0.457, 0.503).
Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answer:
sorry I cannot help
Step-by-step explanation:
I will try after some time to help u....LOL
enjoy
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle
Answer:
prove that opposite sides are congruent and parallel
Step-by-step explanation:
i took the testtttttt
The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.
We are given that;
The quadrilateral ABCD
Now,
A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.
For example, if the slope of AB is m, then the slope of BC is -1/m.
Also, a rectangle has opposite sides that are equal in length,
which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.
Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
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Need help with one more thing. Find the value of y.
Answer:
12 or 13
Step-by-step explanation:
one of the two from my knowledge
Answer:
y = 11.82
Step-by-step explanation:
use cos:
⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos 10 = [tex]\frac{12}{y}[/tex]
cos of 10 is 0.9848
⇒ 0.9848 = [tex]\frac{12}{y}[/tex]
multiply 12 on both sides
⇒ 0.9848 x 12 = [tex]\frac{12}{y}[/tex] x 12
⇒ 11.82 = y
cuanto es 8/9 x 15/16? porfaAa estoy en prueba
Answer:
=5/6
Step-by-step explanation:
happy to help ya :)
what is the sum of 2/5 and 2/5 in simplest form
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
each of four people shake hands once with each of the other three. how many hand shakes will there be
Answer:
6
Step-by-step explanation:
o o o o
3+2+1 = 6
Will someone please help me solve this problem.
Answer:
A
Step-by-step explanation:
The answer is 64 since it can be a multiple of the numbers
find the 14th term of the geometric sequence 2,4,8
Answer:
(0,16) I am pretty sure
Step-by-step explanation:
2^2x - 6(2^x) + 5 = 0
Answer:
can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.
Step-by-step explanation:
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
12(-5z - 4)
please help me
Answer:
-60z - 48
Step-by-step explanation:
Is your expression.
Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.
Answer:
$519.43
Step-by-step explanation:
bc it is
Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution
Answer:
She can make 3 sushi rolls.
Step-by-step explanation:
it's not that hard, but ok
So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.
Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!
Pls help extra points and mark brainlist
Answer:
Rock layers only (I think this is correct from the searches I've made)
need help please. urgent!!
Answer:
12-3y-2x+x+2x = x-3y+12
3x+2y-2x+y+12 = x+3y+12
4y+3y+3x-6y-10-2 = 3x+y-12
x+3y+2x-3x+7+5 = 3y+12
Step-by-step explanation:
Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The Drive-Thru Performance Study: Order Accuracy" that measures the percentage of orders that are filled correctly. In a recent month, the percentage of orders filled correctly at Burger King was approximately 90.5%. Suppose that you and two friends go to the drive-through window at Burger King and place an order. Two friends of yours independently place orders at the window at the same store.
a. What is the probability that all the three orders will be filled correctly?
b. What is the probability that none of the three will be filled correctly?
c. What is the probability that one of the three will be filled correctly?
d. What is the probability that at least one of the three will be filled correctly?
e. What is the probability that only your order will be filled correctly?
Answer:
a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.
b) 0.0009 = 0.09% probability that none of the three will be filled correctly
c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly
e) 0.0082 = 0.82% probability that only your order will be filled correctly
Step-by-step explanation:
For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The percentage of orders filled correctly at Burger King was approximately 90.5%.
This means that [tex]p = 0.905[/tex]
You and 2 friends:
So 3 people in total, which means that [tex]n = 3[/tex]
a. What is the probability that all the three orders will be filled correctly?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]
0.7412 = 74.12% probability that all the three orders will be filled correctly.
b. What is the probability that none of the three will be filled correctly?
This is P(X = 0).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]
0.0009 = 0.09% probability that none of the three will be filled correctly.
c. What is the probability that one of the three will be filled correctly?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]
0.0245 = 2.45% probability that at least one of the three will be filled correctly.
d. What is the probability that at least one of the three will be filled correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
With what we found in b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]
0.9991 = 99.91% probability that at least one of the three will be filled correctly.
e. What is the probability that only your order will be filled correctly?
Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So
[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]
0.0082 = 0.82% probability that only your order will be filled correctly
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
What is the final cost of an item priced at $5.70 after a 7% sale tax is applied
Answer:
the total is $6.10 once applied
and the sale tax is $0.40
Step-by-step explanation:
First one to answer gets BRAINLIEST no cap look at the picture.
Answer:
63 sq meters
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]
At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.
1. f + s = 1050
s + 80 = f
2. f - s = 1050
f + s = 80
3. f + s = 1050
f + 80 = s
4. f - s = 1050
s + 80 = f
5. f + s = 1050 f - 80 = s
Answer: Numbers 1 and 5.
Step-by-step explanation:
It will take Taylor alone 15 hours to complete the work alone.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.
We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
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the difference of p and 7 is 30
Answer:
p = 37
p- 7=30
add seven to both sides and you get
p=37
Write 6% as a fraction in simplest form.
Answer:
Answer is 3/50
Step-by-step explanation:
I hope it's helpful!
Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.
Answer:
p(-4) = -134
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
p(x) = x³ - 3x² + 7x + 6
p(-4) is x = -4
Step 2: Evaluate
Substitute in x [Function]: p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents: p(-4) = -64 - 3(16) + 7(-4) + 6Multiply: p(-4) = -64 - 48 - 28 + 6Subtract: p(-4) = -140 + 6Add: p(-4) = -134There are 85 sixth grade students in Mr. Green’s math class. This makes up 34% of the students in 6th grade in the school. What is the total amount of students in 6th grade?
Answer:
250
Step-by-step explanation:
Take the part (85) and put it over 34% like a fraction.
85 x
34 100
Then do 85 times 100
8500
Then divide it by your percent (34)
8500/34=250
How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes
Answer:
50 laps
Step-by-step explanation:
10 laps : 6 minutes
multiply both sides by 5
50 laps: 30 minutes
Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)
Thea answer B) (x, y) → (4x, 4y)
Answer:
B
Step-by-step explanation:
i took test