A market research firm conducts telephone surveys with a 42% historical response rate. What is the probability that in a new sample of 375 telephone numbers, at least 150 individuals will cooperate and respond to the questions

Answers

Answer 1

Answer:

The right answer is "0.7823".

Step-by-step explanation:

Given that,

P = 42%

or,

  = 0.42

n = 375

[tex]\hat{P}[/tex] = 0.4

The z-score will be:

= [tex]\frac{\hat{P}-\mu_P}{\sigma_p}[/tex]

By putting the values, we get

= [tex]\frac{0.4-0.42}{\sqrt{\frac{0.42\times (1-0.42)}{0.375} } }[/tex]

= [tex]-0.784706[/tex]

hence,

The probability will be:

⇒ [tex]P(\hat {P}>0.04)[/tex] = [tex]P(z>-0.7847)[/tex]

                        = [tex]1-P(z<-0.7847)[/tex]

                        = [tex]1-0.21770[/tex]

                        = [tex]0.7823[/tex]


Related Questions

a net ball team won 24 out of 40 matches. what percentage of the match did the team win​

Answers

Answer:

60%

Step-by-step explanation:

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

so answer is 60%


I was wondering if anyone could answer this :)

Answers

Step-by-step explanation:

The sides with the variables are the same length, so make them equal.

x+2=2x-3

Get x alone on one side.

5=3x

Simplify.

5/3 = x

Answer:

5

Step-by-step explanation:

x+2 = 2x-3

+3 +3

x+5 = 2x

-x -x

x=5

Hope this helps! :)

Can someone Help me please.?

Answers

Answer:

Option D

Hope this helps!

Analyze the diagram below and complete the instructions that follow.

Answers

Answer:

C).

[tex]= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37[/tex]

I need help with this math question

Answers

Answer:

the scale factor is 3. hope this helps

Answer:

3

Step-by-step explanation:

you can set up a ratio using corresponding parts from each triangle.

or

notice the change from 3 to 9 is by multiplying 3 x 3

the change is the same for all : 3 x 4 = 12 , 3 x 5 = 15

ratio way

[tex]\frac{new}{old\\}[/tex] = [tex]\frac{9}{3}[/tex] = 3

In which of the following expressions does the number 36 fill in the blank so that the equation is true? Select all that apply. A) 6(8 + 9) = ___ + 54 B) 6(9 + 6) = 54 + ___ C) 9(4 + 7) = ___ + 63 D) 3(5 + 12) = 15 + ___

Answers

Answer:

B is the correct answer

Step-by-step explanation:

6(9+6)=54+36

6(15)=90

90=90

On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)

Answers

Answer:

(-3,-2)

(-3,4)

(3,4)

(3,-3)

Step-by-step explanation:

Answer:

cant see nun mind showing it

James invested £2000 for three years in an Internet Savings Account.
He is paid 5.5% per annum compound interest.
Work out the total interest earned after three years

Answers

Answer:

£2348.48

Step-by-step explanation:

We can use the “slow method” for this, seeing it’s only 3 years.

£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48

(105.5% = 1.055, by the way)

After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.

Let XX be a random variable that is equal to the number of heads in two flips of a fair coin. What is \text E[X^2]E[X 2 ]

Answers

Answer:

Step-by-step explanation:

From the given information, it is likely that the random variable(X) have the values below:

Let head be H

Let tail be T

So;

X(HH) = 2;

X(HT) = 1;

X(TH) = 1;

X(TT) = 0

The distribution can now be computed as:

[tex]p(X= TT) = \dfrac{1}{4}[/tex]

[tex]p(X=TH) = \dfrac{1}{4}[/tex]

[tex]p(X=HT) = \dfrac{1}{4}[/tex]

[tex]p(X=HH)= \dfrac{1}{4}[/tex]

Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:

[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]

[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]

[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]

[tex]E(X) =\dfrac{1+1+2}{4}[/tex]

[tex]E(X) =\dfrac{4}{4}[/tex]

E(X) = 1

[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]

[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]

[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]

[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]

[tex]E(X^2) =\dfrac{6}{4}[/tex]

[tex]E(X^2) =1.5[/tex]

Finally; To compute E²[X]

E²[X] = E[X]²

E²[X] = 1²

E²[X] = 1

f(x)=-2x^2 -3, find f(0)

Answers

Answer:

Step-by-step explanation:

It's -3

What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

2 = 2 × 1

6 = 2 × 3

GCF = 2

[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{\frac{1}{3}}[/tex]

»»————- ★ ————-««  

Here’s why:  

We would take the GCF of the two numbers in order to simplify.

⸻⸻⸻⸻

[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum

Answers

Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum

Plz do.this for 20 points​

Answers

Step-by-step explanation:

1 2 3 42 4 6 83 6 9 12

You need to multiply the row and column to get the numbers

for example the block with row 3 column 3,the answer is 3 x 3= 9

each spinner can land on any of the points it has, thus each of the number have the same possibility.

. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.

Answers

13 25 76 yah yeet averse a

A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.


A)

300 cm3

B)

64.1 cm3

C)

942.5 cm3

D)

314.2 cm3

Answers

Answer:

D. V=314.2cm³

Step-by-step explanation:

The volume of the cone is:

V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³

Answer: D) 314.2 [tex]cm^3[/tex]

Step-by-step explanation:

The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

r is the radius and h is the height/altitude.

We can sub these values in and solve

[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]

Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate

[tex]V=(100)(3.14)\\V=314[/tex]

The volume is about 314.

Our closest answer to that is D so that is the correct choice.

Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly

Answers

Answer:

5328.78

Step-by-step explanation:

formula:

[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]

this rounds to 5328.78

Which word expression represents the algebraic expression shown?

12 – 3x

Answers

The difference between twelve and three times a number.

Hope this helps! :)

Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?

Answers

answer is

(Y)=-23,-14, -5,4,13

hope this will help you

What is the value of x

Answers

Answer:

18°

Step-by-step explanation:

Know that the intersection of two lines and the angles opposite each other are equal

3t+12=66

Subtract 12 from both sides

3t=54

Divide 3 from both sides

t=18

Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:

Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick

Answers

Answer:

Dependent

Step-by-step explanation:

The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.

Answer:

Dependant

Step-by-step explanation:

It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.

Think you can figure out the correct answer here

Answers

The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.

Answer:

20?

Step-by-step explanation:

If 3 triangles = 30 they we could assume that each triangle = 10

10 + 10 + 10 = 30

If one triangle = 10 then the 2 circles would = 5 in the 2nd equation

10 + 5 + 5 = 20

If 1 circle = 5 then the 1 full squares would = 4

5 + 4 + 4 = 13

1 triangle = 10 , 1 circle = 5, Half a square = 2

10 + 5 * 2 = ?

Using PEMDAS we would multiply 2 and 5 first to get 10

10 + 10 = 20

convert fraction to decimal 1/5 explanation​

Answers

Answer: 0.2

Step-by-step explanation:

1 divided by 5 = 0.2

Answer:

0.2

Step-by-step explanation:

1/5 = 1 divided by 5.

This will also apply to any fraction

Fraction = Numerator divided by Denominator

4) 2 2/3 yards feet * O 8 feet O 6 feet O 2 feet O 7 feet​

Answers

Answer:

your mom

Step-by-step explanation:

u gonna fail just give up on life

pls help me on this ..

Answers

Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm

We know that, Area of a rectangle is given by : Length × Width

⇒   Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²

Given : The scale is 1 cm = 4 feet

⇒   Area of Angel's rectangular room in square feet = 35 × (4 feet)²

⇒   Area of Angel's rectangular room in square feet = 35 × 16 feet²

⇒   Area of Angel's rectangular room in square feet = 560 feet²

Found out the answer please I can't do this​

Answers

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND

Answers

Answer:

c. -x + 3x + 7  = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

     = 3x+1 - x+6

     = 2x +7

2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there were 3 marbles left over. What is the fewest number of marbles that Janet could have had in her collection?​

Answers

Answer:

23 marbles

Step-by-step explanation:

3 groups of 7 = 21 +2 = 23

4 groups of 5 = 20 +3 = 23

is 3(6x + 1) and 21x
equivalent?
explain why

Answers

Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other

Step-by-step explanation:

HELP WOULD BE APPRECIATED

Solve for n

n - 21 = 3

OA) n=45

OB) n=52

Oc) n= 24

OD) n= 19​

Answers

Answer:

option C. n = 24

Step-by-step explanation:

n - 21 = 3

n - 21 + 21 =  3 + 21                [adding 21 on both sides ]

n + 0 = 24                              [ -21 + 21 = 0 ]

n = 24

The answer is n=24 24-21=3

find the value of x. round your answer to the nearest tenth.

Answers

9514 1404 393

Answer:

  x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = 22/x

  x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

Other Questions
Collect information about Rain water harvesting and suggest the differentways to conserve water. In The Tell-Tale Heart by Edgar Allan Poe, what does the beating heart that the narrator hears symbolize? Why did the Allies target weak islands A. these islands held valuable natural resourcesB. The japanese were not as deeply entrenched on these islandsC. The people on these islands did not support the japaneseD. There was no risk in taking these islands ten instructions on how to adapt in a new envrionment 2.A ball is pulled out of a bag on the first pick. Then, itis replaced in the bag and another ball is picked out . Independent or dependent ? Una persona A tiene cierta cantidad de masa y una persona B tiene la mitad de masa de la persona A como es el peso de B respecto al de A? Why is it important to learn how to cook? (Trigonometry) The ladder leaning against a building makes an angle of 78 with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE) What evidence is there of cultural diffusion between the Chinese and the Portuguese? What impact might this have on their cultures? anyone can help(question in photo)-no links -thanks 2. Who was the Fascist leader of Italy that created the first totalitarian state?Benito Mussolini Given that the area of the trapezoid is 55cm find x PLEASE I NEED HELP Question 8 of 10Membrane proteins called pumps use energy to move hydrogen ions to oneside of the membrane. Which term describes the difference between thenumbers of hydrogen ions on opposite sides of the membrane?A. lon concentrationB. Concentration gradientC. HomeostasisD. Equilibrium Which effect is used in this image?A.sepia effectB.selective focusC.zoom effectD.soft focus Which expression has the greatest value I need help with this question I wanna say the answers B Which system of equations represents the matrix shown below? Write the procedure of stone grafting. Write the correct subjunctive conjugation for the following verbs that have irregular yo forms in the present indicative.1. Caber Yo ___2. SalirLos Chicos ___3. HacerTu ___ What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE