A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answers
Answer:
The answer is "0.96562".
Step-by-step explanation:
please find the complete question which is defined in the attached file.
Given value:
[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]
[tex]= 0.58[/tex]
[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]
[tex]= \frac{150}{400}\\\\ = 0.377[/tex]
When:
[tex]\to P(P>0.375)\\\\[/tex]
[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]
[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]
Related Questions
Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answers
Answer:
Step-by-step explanation:
Given the following :
Mean(m) = 36 months
Standard deviation (s) = 6 months
A) probability of staying more than 30 months :
Zscore = ( x - m) / s
x = 30
Zscore = (30 - 36) / 6
Zscore = - 6/6
= - 1
P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587
1 - p(Z < - 1) = 1 - 0.1587 = 0.8413
2)less than 24 months :
Zscore = ( x - m) / s
x = 24
Zscore = (24 - 36) / 6
Zscore = - 12/6
= - 2
P(Z < - 2) = 0.0228
3.) between 24 to 48 months
For 24 months : from above = 0.0228
48 months :
Zscore = ( x - m) / s
x = 48
Zscore = (48 - 36) / 6
Zscore = 12/6
= 2
P(Z < 2) = 0.9772 ( from z table)
Hence,
0.9772 - 0.0228 = 0.9544
what number is rational?
Answers
Answer:
0.33333333333333
Step-by-step explanation:
Which of the ratio below is equivalent to 4:1? Select all that apply. A) 12:3 B) 24:6 C) 8:4 D)16:4 E) 10:6
Answers
Answer:
that would be a
Step-by-step explanation:
just took the test
Answer:
A, B, D
Step-by-step explanation:
A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?
Answers
If we assume your letters range from A to Z and your digits from 0 to 9, you have 26 possibilities per letter and 10 per digit. This gives you 26^4*10^4 which is roughly 4 billion and a half.
The number of different license plates that can be made will be 260⁴.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A license plate is to have the following form: 4 letters followed by 4 numbers.
We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).
The number of different license plates that can be made will be
⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10
⇒ 26⁴ x 10⁴
⇒ (26 x 10)⁴
⇒ 260⁴
The number of different license plates that can be made will be 260⁴.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
What is the product?
8
-1
-4.
-5
9
-32
4
O
20
-36
32
-4
-20
Answers
AnswerC
Step-by-step explanation:
Write the answer to the following calculations in standard form.
10 to the power of 8 – 7 • 10 to the power of 6
Answers
Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)
Answers
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)}
What is the domain of A?
Answers
I will give you branilest!
Answers
Answer:
10/3
Step-by-step explanation:
I did quiz lol and I got it right
What is 2.068 rounded to the nearest 0.1
Answers
Answer:
2.1
Step-by-step explanation:
Answer:
2.1
Step-by-step explanation:
Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?
Answers
Answer:
The volume of he bedroom is about 180 feet :)
If x<0 and y>0, determine the sign of the real number.
Answers
Answer:
both negative because y is negative and make both answers negative
Answers:
6) B. Negative7) A. Positive==============================================
Explanation:
x < 0 means x is negative
y > 0 tells us y is positive
Dividing a positive by a negative, or vice versa, means the result is negative. It's similar to how positive times negative = negative. So that is why the answer to problem 6 is "negative".
---------------
In problem 7, we square x to get some positive result.
Consider something like x = -7. Squaring this leads to
x^2 = (-7)^2 = (-7)*(-7) = 49
The two negatives cancel out when we square.
Since x^2 is positive, and y is positive, this means x^2*y is positive as well.
Simplify -9/6 divided by -3/2
Answers
An negative times a negative is a positive
So the new prob is 9/6 times 2/3
you multiply across and you get 18/18
18/18 is equal to 1
there’s you answer hope it helps ✨
help!!!
3 Peter measured the width of a room as 28 feet
and the length as 17 feet. About how many
square feet does the room cover?
Area = length X width
Answers
Area = length X width 28x17= 476
hello please help will give brainliest!
Answers
John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person
Answers
x+4x+4x+23
9x+23=122
122-23=99
9\99=11
J=67
A=44
S=11
11+44+67=122 kg
The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that
Let j , a and s be the weights of John, Amelia and Sonia respectively.
John is 23 kg heavier than Amelia.
j = a + 23
Amelia is four times as heavy as Sonia.
a = 4s ⇒ s = a/4
Their combined weight is 122.
j + a + s = 122
Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,
(a + 23) + a + (a/4) = 122
2a + a/4 + 23 = 122
9a/4 = 122 - 23
2.25a = 99
a = 44
j = 44 + 23 = 67
s = 44/4 = 11
Hence the weight of each person is 67 kg, 44 kg and 11 kg.
To learn more about Equations Solving, click :
https://brainly.com/question/30066982
#SPJ2
Jasmine was asked to find the product of 14.8 and 3.65. Her work is shown below. Estimate: 15 × 4 = 60 Actual: 14.8 × 3.65 = 540.2 Which statements about Jasmine’s work are true? Check all that apply. Jasmine did not make a good estimate. Jasmine did not insert her decimal point correctly when estimating. Jasmine did not insert her decimal point correctly after multiplying the actual amount. Jasmine did not make a mistake. Jasmine’s estimate and actual product don’t match closely enough.
Answers
Answer:
0 Jasmine did not insert her decimal point correctly after multiplying the actual amount
0 Jasmine’s estimate and actual product don’t match closely enough.
Answer:
oh that answer was correct but why did you put 0
Step-by-step explanation:
....
-4x-6=-3x-10
solve for x
Answers
Pls mark brainliest
Answer:
-4x-6 = 3x-10
-4x-3x= -10+6
-7x= -4
x= -4/-7
x= 4/7
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
Answers
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
Learn more about Wages from:
https://brainly.com/question/14895331
#SPJ1
The sum of two consecutive odd integers is 72 what are the integers
Answers
Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).
do you like ainme\dislike
Answers
Answer:
I like anime, do u?
Step-by-step explanation:
Answer:
Yes I love it
Step-by-step explanation:
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
Answers
A 33 pound bag of grass seed has = 2 pounds less than 5 smaller bags of seed
= 33 pounds = 2 pounds less than 5 smaller bags
Let the weight of smaller bag of seed be ' x ' . Then ,
= 33 = 5x - 2
= 5x -2 = 33
= 5x = 33 + 2 ( transposing -2 from LHS to RHS changes -2 into +2 )
= 5x = 35
= x = 35 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 7 = weight of smaller bag of seed
Then , the weight of smaller bag of seed will be 7 pounds . Let us check it by putting 7 in the place of x :
= ( 5 × 7 ) - 2 = 33
= 35 - 2 = 33
LHS = RHS
Therefore , the weight of of smaller bag of seed is 7 pounds .
What is the distance, d, between the points (3,5/2) and (5/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
Answers
The distance between the two points is of:
[tex]D = \frac{\sqrt{145}}{6}[/tex]
------------------------------
Distance between two points:
Two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
------------------------------
The points are [tex](3, \frac{5}{2})[/tex] and [tex](\frac{5}{3},1)[/tex].Thus, the distance between them is given by:[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - 3)^2+(1 - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(\frac{5}{3} - \frac{9}{3})^2 + (\frac{2}{2} - \frac{5}{2})^2}[/tex]
[tex]D = \sqrt{(-\frac{4}{3})^2 + (-\frac{3}{2})^2}[/tex]
[tex]D = \sqrt{\frac{16}{9} + \frac{9}{4}}[/tex]
[tex]D = \sqrt{\frac{64 + 81}{36}}[/tex]
[tex]D = \sqrt{\frac{145}{36}}[/tex]
[tex]D = \frac{\sqrt{145}}{6}[/tex]
A similar problem is given at https://brainly.com/question/14849255
Answer:
The answer is \/145/6 (The answer above)
Step-by-step explanation:
I took the Test.
Which of these is another way to write the function f(x)=5x?
a. f(x)=1/4(625x)
b. f(x)=(625x)1/125
c. f(x)=(625x)1/4
d. f(x)=1/125(625x)
Answers
Answer:
d
Step-by-step explanation:
when f(x)=5......It can also be
f(x)=1/125(625x)
every whole number over one...1(625x)=625x
also 125(1)=125 therefore (625/125)x=5x
Daniel and Paul went exploring in the woods. On the first day Daniel saw 3 rabbits and Paul saw 8 deer. On the second day Daniel saw 4 rabbits and Paul saw 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer?
Answers
Answer:
first day when they say 3 rabbits and 8 deers 3:8
Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.
Answers
Answer:
$1.29 for balloons
Step-by-step explanation:
3b + 4f = 14.63
2b + 5f = 16.03
2b = 16.03 - 5f
b = (16.03/2) - 5/2f
3b + 4f = 14.63
3[(16.03/2) - 5/2f] + 4f = 14.63
48.09/2 - 15/2f + 4f = 14.63
24.045 - 15/2f + 8/2f = 14.63
24.045 - 7/2f = 14.63
-7/2f = -9.415
-3.5f = -9.415
f = 2.69 = $2.69 for favors
2b + 5(2.69) = 16.03
2b + 13.45 = 16.03
2b = 2.58
b = 1.29 = $1.29 for balloons
what is the slope???
Answers
Kelly can type 120 words in 3 minutes. At that rate, how many words can she type in 5 minutes?
Answers
Find the present value of an annuity of $120 at the end of each month put into an account yielding 4.8% compounded monthly for 5 years.
Answers
Answer:
Yyyy
Step-by-step explanation:
Can someone please help
Answers
Answer:
What is your question?
Step-by-step explanation: