Suppose a simple random sample of size n=36 is obtained from a population with mean = 64 and sd = 18


what is p(x < 62)


what is P(x>68)


what is P(62



the length of human pregnancies is approximately normally distributed with mean u=266 days and standard deviation s=16 days


what is the probability a randomly selected pregnancy lasts less than 260 days?


suppose a random sample of 20 pregnancies is obtained. what is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less?


what is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less?

Answers

Answer 1

For p(x<62) and p(x>68), we can use the z-score formula to calculate the probability.

p(x<62), the z-score formula is (62-64)/18 = -0.11.

p(x>68), the z-score formula is (68-64)/18 = 0.22.

The rest answer are mentioned below with calculation.

What is z-score formula?

It is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first two questions, p(x<62) and p(x>68), we can use the z-score formula to calculate the probability. The z-score formula is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first question, p(x<62), the z-score formula is (62-64)/18 = -0.11. This means that the probability of x being less than 62 is 0.3767 (from the z-score table).

For the second question, p(x>68), the z-score formula is

(68-64)/18 = 0.22.

This means that the probability of x being greater than 68 is 0.5987 (from the z-score table).

For the third question, the probability that a randomly selected pregnancy lasts less than 260 days can be calculated using the z-score formula.

The z-score formula is (260-266)/16 = -0.375. This means that the probability of a randomly selected pregnancy lasting less than 260 days is 0.3296 (from the z-score table).

For the fourth question, the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 20, the standard deviation of the sample is

16/√(20) = 4.

The z-score formula is (260-266)/4 = -1.5.

This means that the probability of a random sample of 20 pregnancies having a mean gestation period of 260 days or less is 0.0668 (from the z-score table).

For the fifth question, the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 50, the standard deviation of the sample is

16/√(50) = 1.83

The z-score formula is (260-266)/1.8 = -3.3.

This means that the probability of a random sample of 50 pregnancies having a mean gestation period of 260 days or less is 0.0062 (from the z-score table).

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Related Questions

I want to solve for x

I want to solve for x

Answers

Answer:

x = \(\frac{A*t^2}{800}\)

Step-by-step explanation:

First move t² to the left side by multiplying it.

A×t² = 800x - to get rid of 800, we divide both sides by 800. This isolates x.

x = \(\frac{A*t^2}{800}\)

what sock price should the company set to earn a maximum profit

Answers

Answer:

10000000000000

Step-by-step explanation:

I do not know how to explain

The awnsers pls and i need more help thank u i will give u branliest too

The awnsers pls and i need more help thank u i will give u branliest too

Answers

tl;dr: Top question is A.) 1/24. Bottom question is B.) 1/8.

Hello!

For the question closest to the top, your answer is A.) 1/24.

You find this by taking the probability of rolling a 2 on a 6-sided die (1/6), and multiplying it by the probability of the spinner landing on C (1/4).

\(\frac{1}{6}\) × \(\frac{1}{4}\) = \(\frac{1}{24}\)

For the question at the bottom, your answer is B.) 1/8.

You find this by taking the probability of rolling an odd number on a 6-sided die (1/2) and multiplying it by the probability of the spinner landing on B (1/4).

\(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\)

Hope this was helpful. Have a great day!

Answer:

Q1) 1/10
Q2) 1/4

Step-by-step explanation:

Q1) There are 4 letters and 6 numbers which add up to 10 so it is out of 10. The chance that it would role on it is low and given the limited options we have to answer we have to estimate, therefore the best estimation to make would be that the answer is 1/10.

Q2) There are 4 letters and 6 numbers which add up to 10 so you would think it is out of 10 but due to the limited number of options we have to pick from "/10" isn't an option so we calculate how many odd numbers there are which is 3 and how many times B is shown which is once and 3 + 1 = 4 so that means it has to be out of 4 so due to the limited options we have we have to estimate it which gives us 1/4 as that's the only option there "/4".

A formula for the perimeter of a rectangle is P = 2 x width + 2 x length.

Use the formula to find:

a. The perimeter of a rectangle with width 8 cm and length 12 cm.


give your answer in cm

ASAP PLEASE

Answers

2 x 8+2 x 12=
16+24=
30cm
The answer is P= 30cm

Work out the perimeter of the shaded shape on the centimetre grid.

Give the answer in cm and no spam.

Work out the perimeter of the shaded shape on the centimetre grid.Give the answer in cm and no spam.

Answers

Answer:

The perimeter of this rectangle is 10 cm.

1. The sum of the angles of a triangle is 180. Find the three angles of the triangle if one
angle is four times the smallest angle and the third angle is 36 greater than the smallest
angle.

Answers

Answer: they small angel is 12

Step-by-step explanation:because the third angle is 36 and 12 times three is 36  

PLEASE HELP IN THE NEXT 15 MINUTES!!!!!!!!!!

The Cross Bayou Bridge in Shreveport, Louisiana has trusses that form triangles. The exterior angle of one triangle has a measure of (5 - 3)°. If the two nonadiacent interior angles of the triangle are 43° and (3x)°, what is the value of the exterior angle, in degrees?

PLEASE HELP IN THE NEXT 15 MINUTES!!!!!!!!!!The Cross Bayou Bridge in Shreveport, Louisiana has trusses

Answers

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Solve each equation by completing the square.
d² - 24d + c

Answers

Answer:

d² - 24d + c = (d - 12)² - 144 + c

can anyone help me with this?

can anyone help me with this?

Answers

Answer:

The surface area is 65.94 ft

I’m so bad at this pls-

Im so bad at this pls-

Answers

Answer:

\(5 \sqrt{2} \)

Step-by-step explanation:

\( \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} \)

Hope it is helpful....
5/2 would be your answer

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

Find the location of Boston as an ordered pair

Find the location of Boston as an ordered pair

Answers

6,7 along the corridor (6) up the stairs (7)

HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.

HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the

Answers

Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x + 26

Step-by-step explanation:

3. In the United States, the average amount of meat eaten
per person is 261 pounds per year. If there are 365 days
in a year, what is the average number of ounces of meat
eaten per day? Round to the nearest ounce eaten per day? Round to the nearest ounce.

Answers

If the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.

Given that the average amount of meat eaten per person is 261 pounds per year.

We are required to find the average number of ounces of meat eaten per day.

There are 16 ounces in a pound. So,the average amount of meat eaten per person per year will be 261*16=4176 ounces per year.

Average number of ounces of meat eaten per day is there are 365 days in a year=4176/365=11.44 ounces per day.

Now by rounding it to the nearest ounce we will get 11 ounces.

Hence if the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.

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Find the volume of the figure shown below.


A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3

Find the volume of the figure shown below.A)14 units^3B)9 units^3C)None of these answers D)Theres not

Answers

Answer:

E. 24 units³

Step-by-step explanation:

the volume = 4×3×2 = 24

Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings. ​

Answers

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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when constructing pie charts, label each slice and include information about the quantitative size, such as percentage, dollars, etc., of each slice.

Answers

When constructing pie charts, label each slice and include information about the quantitative size, such as percentage, dollars, etc., of each slice.

What is a Pie chart?

Pie chart is defined as the diagrammatic representation of the result of a research work in a way that the analysis can easily be understood.

The guidelines for construction of a pie chart include the following:

Calculate the total value of the data by adding all the given values.

Divide the value of each category with the total value.

Convert the result into a percentage.

Label each slice or sector and include information about the quantitative size,

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Complete question:

List the general guidelines for constructing pie charts.

0.63 = log x

solve this equation for x. Round your answer to the nearest hundredth.

Answers

Answer:

log x = .63

x = log(.63) = about -.20

what is the area of the figure?​

what is the area of the figure?

Answers

Answer:I’m guessing the second one

Step-by-step explanation:

I thinking that because if u add it all up also this is just a thought

For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.

Answers

Answer:

Z = 16Y

For instance, let's say we want to know how many ounces there are in 2 pounds.

We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.

y'all can't believe iam in 9th position!!! yay​

Answers

Answer:

make me brainliest

Step-by-step explanation:

plssssss

Determine the measure of < 7
o 53
o 133
o 127
o 47

Determine the measure of &lt; 7o 53o 133o 127o 47

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

hi im doing homework i hate i-ready so yea can someone answer this please?

hi im doing homework i hate i-ready so yea can someone answer this please?

Answers

Weight of Omar after 4 weeks is 9.4375 pounds.

What is Unit Conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

Weight of Omar at the time of birth = 8 pound 3 ounces

Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces

New weight of Omar

= (8 lb 3 ounces) + 20 ounces

= 8 lb + 23 oz

As, we know 16 ounces = 1 pound

23 ounces = 1.4375 pound

Now, total weight of Omar after 4 weeks = 8 lb + 23 oz

                                                                  ≈ 8 lb + (1.4375) lb

                                                                   ≈ 9.4375 pounds

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Select the correct answer.
Libby bought 250 stocks of a company named Xylet last year. Xylet's total earning for the year is $ 4million and it has 1,000,000 outstanding
stocks. What is Xylet's Earning per share (EPS)?
OA. 4
OB. 0.04
C. 40
OD
400

Answers

Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.

BoundFigure 2.Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he

Answers

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

How to determine  the monthly instalment price and instalment price that Daikin needs to pay.

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Help Please, I dont know what to do.

Help Please, I dont know what to do.

Answers

Answer: B: y=5x-5

Step-by-step explanation:

Help Please, I dont know what to do.

The product of two negative integers is a negative integer.

Answers

Answer:

False. The product of two negative integers is a positive integer.

7 times the sum of 3 and q



one-fourth of z is subtracted from 6​

Answers

Answer:

7(3+q)

(Z)/(1/4) - 6

Please help !!!!!! 20 points

Please help !!!!!! 20 points

Answers

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

How to calculate the value

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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As a result of a leaking underground storage tank, a local groundwater has become contaminated with benzene. Local officials take a 20 mL sample of groundwater sample and place it in a 40 mL sample bottle. The bottle is sealed and taken to the lab where it sits on the benchtop at about 20C for a while before analysis. The groundwater contains about 50 mg/L of soil particles and adsorption of benzene onto this type of soil is known to be described by a linear isotherm equation where the K value is 0.5 x 10 m/g at 20C, The Henry's Law constant for benzene at 20C is 746 Pa m/mol. Only the water phase is analyzed in the lab.a) What fraction of the benzene that was originally in the water will be missed by the analysis?b) Based on the result in part a) make a recommendation regarding the next sample that is collected Louise pays 41.40 for 30 litres of petrol work out the cost per litre of petrol file:///C:/Users/legen/Downloads/Pre10%20Radical%20Review%20Packet%20-%20Student%20Handout%20(1).pdf PLS HELP BRAINLIEST lots of points Fixed expenses are expenses that do not change from month to month, and variable expensesare expenses that can fluctuate from month to month. Complete the second column of thechart by determining if each expense is fixed or variable. (10 points - 2 points each) what is Internal Application What is the slope of the line that passes through the points (4,7) and (5,8)?answer in simplest form? Two waves on one string are described by the wave functionsy1= 2.05 cos(3.05x 1.52t)y2= 4.54 sin(3.31x 2.39t)where x and y are in centimeters and t is in seconds. (Remember that the arguments of the trigonometric functions are in radians.)(a) Find the superposition of the waves y_1 + y_2y1+y2 at x = 1.0, t = 0.0 s. This is for algebra 2 can someone tell me if Im right and can someone explain how do you get a= ? evaluate the line integral cfdr, where f(x,y,z)=5xiyj+zk and c is given by the vector function r(t)=sint,cost,t, 0t3/2. read the passage and then answer the question that follows. when mike adjusted his bicycle, i thought i was watching a chess game. he would stare at a part for a while before he acted. then we would wait for his opponent's response. for example, he stared for ten minutes before tightening the rear sprockets. then he rode the bike for a minute, analyzing the change in the bike's performance. at first, i thought he was too careful. now, i realize he didn't want the bicycle to become his waterloo. which is a true statement about the passage? (5 points) group of answer choices it contains technical language but no analogy or allusion. it contains an analogy, an allusion, and technical language. it contains an analogy and technical language but no allusion. it contains an allusion and technical language but no analogy. flag question: question 6 question 6 The hiv virus attacks only a certain type of white blood cells, and not other cell types. Why?. What is one possible consequence of declaring bankruptcy? PLEASE I NEED HELP ASAPWhat are some similarities do the poems "I dwell in possibility" and "ozymanidas" have? 1. Regarding English colonization, what characterized the early English colonies? What were these English colonists' interactions with Native American populations like? Shaw and McKay's findings rejected __________ because it is obvious that the culture is not what influences crime and delinquency but, rather, the criminogenic nature of the environment What role does team collaboration play in successfully planning a mission to Mars? does anyone know what lazor wulf is? if so send me a picture If a monopolistically competitive firm's marginal cost increases, then in order to maximize profits, the firm will: 4. In not less than 150 words, write your substantial insights on what you have learned in the past modules in relevance to what is happening now.