a random sample of size 100 is taken from a population described by the proportion P equals 0.60 using the appropriate normal transformation to calculate the probability that the sample proportion is less than 0.55

Answers

Answer 1

Answer:

767

Step-by-step explanation:

Answer 2

The probability that the sample proportion is less than 0.55 is approximately 0.1569.

To calculate the probability that the sample proportion is less than 0.55, we can use the normal approximation to the binomial distribution, assuming the sample size is large enough (n > 30) and the conditions for using the normal approximation are met.

Given:

Sample size (n) = 100

Population proportion (P) = 0.60

Sample proportion (p) = 0.55

To apply the normal approximation, we need to calculate the mean (μ) and the standard deviation (σ) of the sampling distribution.

Mean (μ) = P = 0.60

Standard Deviation (σ) = sqrt((P * (1 - P)) / n)

σ = sqrt((0.60 * (1 - 0.60)) / 100)

σ ≈ 0.04899

Next, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the desired sample proportion.

For a sample proportion of 0.55, we have:

z = (0.55 - 0.60) / 0.04899 ≈ -1.020

Using a standard normal distribution table or a calculator, we can find the area to the left of the z-score (less than -1.020). The area represents the probability.

P(z < -1.020) ≈ 0.1569

Rounding to four decimal places, the probability that the sample proportion is less than 0.55 is approximately 0.1569.

To know more about probability here

https://brainly.com/question/13604758

#SPJ2


Related Questions

50 POINTS PLZ HELP I NEED IT IN 30 MINUTES!!!!!!!! find the smallest 2 digit number that is 36 more than the number with its digits reversed

Answers

Answer:

37

Step-by-step explanation:

What is the range of these numbers :
65,56,76,65,52,89,41

Answers

Answer:

24

this is the range...

Answer:

48.

Step-by-step explanation:

The range is the difference between the highest and lowest numbers. So:

89-41

= 48

7. Which of the following integers is between √42 and √50?
a. 7
b. 6
c. 43
d. 40
e. 8

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

√42 is equal to 6.480740698

√50 is equal to 7.071067812

7 is in between these 2 numbers

last one for real this timee

Answers

Answer:15

Step-by-step explanation:jaufnenfiebd

c²=a²+b²

c²=10²+42²

c²=100+1764

c²=1864

c=√1864

c=43.17

c=43.2

Add to the height of the bottom part of the tree.

43.2+10=53.2

∴The total height of the tree before it was struck down was 53.2ft.

Please help and thank you

Answers

The hexagonal prism has a an equation of volume = base * height.

Since we already know the base is 8 sq feet, we can plug in some values and use x as a missing value

40 = 8 * x
Divide by 8
5 = x

X is equal to 5.

Module 03: Project Option 1
Instructions
Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada:
-3.5 ℉
5 ℉
1.5 ℉
-0.5 ℉
-2℉,
2.5℉
-4 ℉

Part 1: Weather Analysis
1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.

2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: Day 2: Comparison of Day 1 and Day 2: ____ < _____ or _____ > _______ Comparison of days with absolute value: ____ < _____ or _____ > _______
3. Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
4. Which temperature during th

Answers

Answer:

1, I have attached the number line.

2, I have provided two examples. One shows a different any quality symbol, and the other one shows the same based on absolute values.

3, you can see using the number line that -0.5 is the closest to zero.

Mr. Patel’s house is 1,850 ft 2 . He tiles 30% of the house on the first day. He tiles 185 ft 2 each day after that. How many more days will it take Mr. Patel to finish tiling the house?

Answers

Step-by-step explanation:

Tile A $9.75

Tile BTiles are $11 per tile if fewer than 50 tiles are purchased. For 50 or more tiles, tiles are $9.50 per tile.

Tiles are purchased by the box

Tile C There are 24 tiles per box. Each box is $185.

Area finished on the first day= 1850 x 30% = 555 ft2
Days required to finish tiling the house = 555 / 185 = 3
Therefore, it will take 3 more days for Mr Patel to finish tiling the house.

Joy earned 13 points in her first round and -21 points in her second turn. What was her score after 2 turns?

Answers

Answer:

-8

Step-by-step explanation:

Hope this helps!

- Flow Rate: 9.5 L/90 s

How long will it take to fill the tub?
Try solving the problem at least two ways to see if you come up with different answers or the same answer and why they could be different or the same.

Answers

Answer:

please tell what is volume of that tub

PLZ HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

I’m so sry but can‘t understand it has to be 4/15 7/15 or 2/3.

Step-by-step explanation:

☹️

Use the permutation formula to solve a problem when n = 8 and r = 4.



A. 420
B. 1,680
C. 6,720
D. 26,880

Answers

Answer:

1680

Step-by-step explanation:

(,)=(8,4)

[tex]=\frac{8!}{(8-4)!}[/tex]

=1,680

the answer is B which is 1,689

Use simple interest to find the ending balance.
(Will give brainliest)

Answers

it’s 1,2,3,4,5,6 because i got it right
banana baby girl girl in my car

Help ASAP i need the answer to this question plsss NO LINKS AND NO DOING IT JUST FOR THE POINTS Will give brainliest and just because i say don't do it just for the points doesn't mean i don't want you to do it i'm just saying that because i don't want random answers i want the right answers with work shown I need the whole page plsss its due today also there is no image it just says that in the question lol

Flora draws a rectangle with points at (12, 12), (15, 12), (15, 9) and (12, 9). She dilates the figure with center at the origin and a scale factor of 3 4. What is the measure of each angle in the image? Explain

Plss don't report i really need the answer

Answers

Answer:

kdldndd didnd dkd did dos di dos dkd ejd jd dkd de diez z

No links/brainliest/5 star/thanks/20pts
3×104+2.2×102
2x + 7 = 15

Answers

2x + 7 = 15
2x = 15 - 7
2x = 8
x = 4

HELP ME!! ASAP, I WILL GIVE BRAINLIEST

Answers

Answer:

1. 6 2. -5

Step-by-step explanation:

On negatives you add.

Answer:

6 for the first one, then -5 for the next one

Step-by-step explanation:

alright, first one.

starts from 0 on a number line and hops 4 right, add 4. [ positive is right, negative is left ]

0 + 4 = 4

coming from 4, to 6 on the left, so either add -6 or subtract 6, both work either way.

4 + (-6) = -2

finally, we land up on -2, and then 8 units to the right once again, which would be adding 8.

-2 + 8 = 6

so that would be 6.

second one, inverse means opposite. so they're asking for the opposite of positive 5, which is negative 5. (-5)

Nooo Linkkks Ok sue i for got how to do perimeter!!!

umm so like ya know wanna help

Answers

add the side lengths

Is 456,602 divisible by 5?

Answers

Answer:

it is

Step-by-step explanation:

456,602 divided by 5=91,320.4

help match each up!!!!!

Answers

Answer:

The range is the difference from the biggest number to the smallest number

Step-by-step explanation:

Answer:

Number of plants: 22

Minimum height: 49 inches

Maximum height: 66 inches

Range of plants: 66-49 = 17

Hope this helps!

What is 12 1/2% less than $80? I hope you're havin' a good day.

Answers

Answer:

10

12.5% less than 80 = 10

Step-by-step explanation:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 80=100%

Step 4: Similarly, x=12.5%

Answer:

70

Step-by-step explanation:

To answer this question, we have to find out what is 12 1/2% of 80 and subtract it from 80. 12 1/2% is the same as 0.125, or 1/8. 1/8 of 80 is

1/8 * 80 = 10, 80 - 10 = 70

A drawing of a sailboat was made useing a restangle and two right triangles, as shown. what is the area of the drawing f the sailboat in square centimeters

Answers

Answer:

45 centimeters squared (45 square centimeters - same thing)

Explanation:

First we need the area of each shape

To find the area of a right triangle we multiply the length of the legs and then divide by 2 - ab/2

Triangle 1: 6 centimeters squared

Triangle 2: 9 centimeters squared

To find the area of a rectangle you multiply the length by the width - lw

Rectangle: 30 centimeters squared

Now we add the values together:

6 + 9 + 30 = 45 centimeters squared

That is my answer, if you need anything else or more clarification I will edit this :)

Your answer would be 45 centimeters ^2

Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar?

16 pints
24 pints
384 pints
6,144 pints

Answers

Answer:

24 pints

Step-by-step explanation:

Ounces to pint conversion:

       16 ounces = 1 pint

So that,  128 ounces

Since, Keona pours 128 ounces of water into a jar 3 times to fill it.

Number of pints of water required to fill the jar is,

               There are 24 pints of water required to fill the jar.

45. Which of the following notations represents the number 0.00432?

A. -3 E4.32
B. (4.32)^-3
C. 4.32E(3)
D. 4.32E (-2)
E. 4.32E (-4)
F. 4.32 (-3)

Answers

Answer:

Step-by-step explanation:

c

anwser: C


step by step explanation:

Help me please. WILL GIVE BRAINLIEST.

Answers

Answer:

21

Step-by-step explanation:

Volume of Rectangular Prism: LWH: Length * Width * Height

Volume of Rectangular Prism: [tex](1\frac{1}{2}) *(4)*(3\frac{1}{2})[/tex]

=> You can convert mixed fractions into improper fractions by the following steps so it's easier to solve the equation:

Multiply the denominator of the mixed fraction by the whole number given on the left of the fraction. Add the number you get by the numerator of the fraction and, the answer you get will be your numerator for the improper fraction, keep the denominator similar to what it was in the mixed fraction.

=> [tex]1\frac{1}{2}[/tex] would be [tex]\frac{3}{2}[/tex] as an improper fraction; [tex]3\frac{1}{2}[/tex] would be [tex]\frac{7}{2}[/tex] as an improper fraction. Whereas 4 would remain the same since it's a whole number.

=> Now, multiple everything together:  ([tex]\frac{3}{2}[/tex]) * (4) * ([tex]\frac{7}{2}[/tex])

The answer would be 21!

Hope this helps!

A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of the counter in square feet?
A. 27 ft²
B. 31.5 ft²
C. 36 ft²
D. 40 ft²

Answers

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day

Answer:

31.5

Step-by-step explanation:

so first find the area of the triangle, which is 9. then divide that by 2 which equals 4.5.

now find the area of the missing square, which is 5×4, and that equals 20. now pretend that the square is whole, and find the area of the whole square. that would be 8×7, which equals 56. so now you need to subtract 4.5 and 20 from 56.

56

24.5

____

31.5

What is 20% off of 113.83?

Answers

Answer:

91.064

Step-by-step explanation:

Answer:

22.766

Step-by-step explanation:

113.83 divided by 5 =22.766

Tell me everything I need to know and please work out the problems

Answers

Answer:

You basically need to solve for m

I can try to solve it for you:

if you  Multiply both sides by 3/2.

you will get 3/8 as your answer

sooooo your answer is m=3/8

!!!!PLEASE HELP ASAP!!!!!WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL PARTS!!!!!
Udi has a bag of cubes. there are 7 yellow cubes, 3 blue cubes, 2 green cubes, and 3 red cube.
list out the sample space:________
what is the probability of pulling a blue cube?_________
list out the complementary events to pulling a blue cube:_________
What is the probability of the complementary events?________

Answers

Answer:

1/19

Step-by-step explanation:

Answer:

  3+3=6        2+3+3+7=14     7+2=9

Step-by-step explanation:

7+2=9   2+3+3+7=14   3+3=6

PLS HELP!!!!! I WILL GIVE BRAINLY

Answers

Each student will hand out 8 invitations.

22

Step-by-step explanation:

A group of 12 students participated in a dance competition. Their scores are in the image attached

Would a dot plot or a histogram best represent the data presented here? Why?
Histogram, because a large number of scores are reported as ranges
Histogram, because a small number of scores are reported individually
Dot plot, because a large number of scores are reported as ranges
Dot plot, because a small number of scores are reported individually

Answers

dot plot because a small number of scores are reported individually

Answer:

Dot plot, because a small number of scores are reported individually

Step-by-step explanation:

Write the word sentence as an inequality.

A number z is no less than 9.

Answers

Answer:

Step-by-step explanation:

Z<9

Other Questions
How can learning opportunities for AI be extended to all 7. Define the termCaravans what was the name of the British national flag anyone have any song suggestions? I have had the same playlist for about a year and i'm getting tired of the same songs over and over again. :/ A wading pool is 2 m long and 5 m wide. If it holds 30 cubic meters of water, how deep is this wading pool? HELPPPPPPPPPPPPPPPPPPPPP Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.What is the distance from Georgia's boat to Olivia's boat?Enter your answer in the box. Round your final answer to the nearest whole number.ft The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for Please hurry, will mark brainliest. Popular culture has created which uniform landscape as part of its society?mountain ranges for hikingterraced crops on mountainsidesgolf courses for recreationreservoirs for commercial fishinghiking trails for public use Refer to Stories from the Iliad. "Agamemnon's Appeal to Achilles."What is a central idea in "Agamemnon's Appeal to Achilles"?O To be respected and followed, Agamemnon should have treated Achilles fairly.O Agamemnon's singular wrong act did not destroy years of favor with Achilles.O The gods do not involve themselves in human wars.o Agamemnon finds that buying forgiveness is impossible1N345 write an email about a game you played recently What was discovered about the age of the ocean floor? The table shows the total profits earned from magazine sales. select a function that models this situation.O A.) y = 24x O B.) y = 10x + 28 O C.) y = 14x + 20 O D.) y = 15x + 10 The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in What is the correct definition of a mixture? Sales on open accounts are very common as a method of payment in foreign trade. generally recommended when special merchandise is ordered by the buyer. not generally recommended when there is political unrest in the importer's country. recommended when the country of the importer imposes difficult exchange restrictions. less risky for the seller when it involves new buyers. Why is Program Increment (PI) Planning itself considered a short-term win? How would GDP per capita (ppp) help us understand standard of life? Select the correct answer.Which set of absolute values is compared correctly?A. |-10| < |-5| < |17| < |5|B. |-5| > |-10| > |-12| > |17|C. |10| > |-15| > |-5| > |2|D. |-10| < |12| < |-15| < |17| define business structure?