A half-century ago, the mean height of women in a particular country in their 20s was 62.9 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.87 inches.
If the mean height today is the same as that of a half-century ago, what percentage of all samples of 21 of today's women in their 20s have mean heights of at least 64.76 inches?
About _____ % of all samples have mean heights of at least 64.76 inches.

Answers

Answer 1

Approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.

Given: 50 years prior, the mean level of ladies in a specific country in their 20s was 62.9 inches. With a standard deviation of 2.87 inches, women in their 20s today have heights that are roughly typical. We must determine the proportion of all 21 samples that have mean heights of at least 64.76 inches among today's women in their 20s. Bit by bit clarification:

Let μ be the mean level of ladies in this day and age and allow n to be the example size. We can find the likelihood of an example mean being more prominent than or equivalent to 64.76 inches utilizing the z-score recipe, as follows: z = (x - μ)/(σ/√n) = (64.76 - 62.9)/(2.87/√21) = 3.06The likelihood that an example of 21 ladies will have a mean level more noteworthy than or equivalent to 64.76 inches is equivalent to the likelihood that a typical irregular variable Z is more noteworthy than or equivalent to 3.06.

This probability is approximately 0.0011, or 0.11 percent, according to a typical normal table or calculator. This means that approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.

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Related Questions

Don’t put no links just put a answer now can someone help me

Answers

nooooooooooooooooooooooooo

The weights of four puppies are shown in pounds
9.5
9 3/8
9.125
9 3/4
Which list shows these weights in order from greatest to least?
9 3/4 9.5 9 3/8 9.125
9.5 9 3/8 9 3/4
9.125 9.125 9 3/8 9.5 9 3/4 9 3/4 9 3/8 9.5 9.125

Answers

The second one (9.5, 9 3/4, 9 3/8, 9.125)

Give some memes please

Answers

boomer meme or whatever

Answer:

oh no homework not done

Step-by-step explanation:

mom:

Find mzw.
X
po
w
(x + 12°
Need help

Answers

Answer:

∠ W = 51°

Step-by-step explanation:

Since WX is the diameter , then

∠ WYX = 90° ( angle in a semicircle )

The sum of the 3 angles in a triangle = 180° , then

x + x + 12 + 90 = 180

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

Then

∠ W = x + 12 = 39 + 12 = 51°

Find the midpoint between the two points.

Answers

Answer:

(1,3) is the answer.

Step-by-step explanation:

hope you get it right!!

What is the length of side AB

Answers

Answer:

if two Angles have equal measure then the slide opposite to them equal in the length is 6 units

Question 6 options:
The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.

Use 3.14 for ​.

Answers

Answer:

C = 112.098yds

Step-by-step explanation:

Where finding the circumference so do pi times diameter.

C = 3.14×d

C = 3.14×35.7

C = 112.098yds

The complex number z = -1 -i is given.
a) Write down this number in the trigonometric form.
b) Calculate all the roots of √z and plot them all on the complex plane.

Answers

The trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).

a) Trigonometric form of the complex number z = -1 - i is given by:

r = |z| = √(1²+1²) = √2θ = arctan(-1/-1) + π = 3π/4

Therefore, z = √2cis(3π/4)b)

Since, √z = (√2cis(3π/4))/2

= (√2/2)(cis(3π/4)/2), the roots of √z are given by:

√2/2cis(3π/4 + 2nπ)/2, where n = 0, 1.

Therefore, the roots are √2/2cis(3π/8) and √2/2cis(11π/8) and they are plotted as shown below:

 In summary, the trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).

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sorry this is probably easy but i need help

Answers

Answer:

Step-by-step explanation:

there is 1,000 total students... so divide 360 / 1000

so you have 0.36 for each student... then multiply by the freshmen,  

.36 * 300 = 108  :)

Which line is parallel to y = 2 and goes through the point (3, 4)?

Answers

Answer:

y = 4

Step-by-step explanation:

Since it's y = 2,

there's no slope

So y = 4 is parallel to y = 2

y = 4 goes through the point (3, 4) since it's just one horizontal line hitting the y-axis

Attempt in Progress The table shown below gives seven pairs of x and y values. X Y 12 18 9 35 14 12 8 40 10 31 4 33 18 10 Using the regression of y on x, the predicted value of y for x = 15, rounded to two decimal places, is:

Answers

The predicted value of y when x = 15 is given as follows:

15.8.

How to find the equation of linear regression?

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points in this problem are given as follows:

(12, 18), (9, 35), (14, 12), (8, 40), (10, 31), (4, 33), (18,10).

Inserting these points into the calculator, the line of best fit is given as follows:

y = -2.28x + 50.

When the value of y when x = 15 is given as follows:

y = -2.28(15) + 50

y = 15.8.

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Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
(giving brainlest)

Answers

Answer:

first multiples of 2 and second multiples of 1

On her coffee table, Anita has a pile of 9 magazines. She plans to get through 2 of them over
the weekend. How many sequences of 2 magazines are possible?
sequences

Answers

Answer:

either of the 2 is read so the answer is 2/9

For a standard normal distribution (u=0, 0=1), the area under the curve less than 1.25 is 0.894. What is the approximate percentage of the area under the curve less than -1.25? 0.894 0.394 0.211 0.106

Answers

After considering all the given data we conclude that approximate percentage of area under the curve is 10.6%, which is approximately 0.106 as a decimal or 53/500 as a fraction

In  case of standard normal distribution, the area under the curve less than 1.25 is 0.894.
Then the standard normal distribution is symmetric about the mean, the area under the curve less than -1.25 is the same as the area under the curve greater than 1.25.
Hence, the approximate percentage of the area under the curve less than -1.25 is approximately
(1 - 0.894) * 100% = 10.6%,
which is approximately 0.106 as a decimal or 53/500 as a fraction
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On a snorkeling trip, Dave dove at least 7 times as deep as Amy did. If Dave dove below 35 feet below the oceans surface, what was the deepest that Amy dove?

Answers

Answer:

The deepest that Amy dove below the ocean's surface is 5 feet.

Step-by-step explanation:

Let the deepest that Amy dove below the ocean's surface be x.

7x = 35

x = 5 ft

Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given

Answers

Answer:

hello the information in part A is missing below is the missing information

How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work

answer :  8

Step-by-step explanation:

The quotient in terms of the two fractions

Determine 2/3 foot that can be gotten from 5 1/3

Divide  5 1/3  by 2/3  ( how to get quotient )

= 5 1/3 / 2/3

= (16 / 3 ) / ( 2/3 )  ( meaning of the quotient )

= 8

What is the solution of 3x + 5 = 2x - 7?

Answers

Answer:

[tex]x=-12[/tex]

Step-by-step explanation:

[tex]3x+5=2x-7[/tex]

Subtract 2x from each side,

[tex]x+5=-7[/tex]

Subtract 5 from each side to find x,

[tex]x=-12[/tex]

A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?

Answers

Answer: This is what I have tried --

5 gallons : 3 weeks = x gallons : 52 weeks

5/3 = x/52 (cross multiply)

3x = 260 (divide by 3)

x = 86.6 or 87 gallons

Step-by-step explanation: hope this is right

Answer:

10 gallons of milk

Step-by-step explanation:

This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.

7 x 10 + 3 x 1 + 8 x
+ 5 x
100
1,000

Answers

Answer:

8x+5005073

Step-by-step explanation:

The two pentagons are similar. Find the missing side lengths.
X
12 ft
y
15 ft
21 ft
3
21 ft
N
18 ft
24 ft

Answers

Where is the figure??

Find m QRS? who can help me?​

Answers

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

Answer:

34 degrees

Step-by-step explanation:

anglePRS is 17 degrees

angle QRT is also 17 degrees

angle qrt +prs =34 degrees

Last year, a property manager bought seven identical snow shovels and nine identical bags of salt. The total cost of the snow shovels was $241.50, before tax, and each bag of salt cost $6.20, before tax. This year, the property manager bought 3 identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $105.57, before tax, and the total cost of the bags of salt was $39.06, before tax. Determine the item with the greatest percent increase in the price from last year. Be sure to include the percent increase for this time to the nearest percent.

Answers

Answer:

Step-by-step explanation:

The formula to approach this shall be:

( Final price - Initial price )/ Final price × 100/1 ............. 1

Hence for the snow shovels

Initial price = $241.50 for 7

Each will cost = $241.50/7

= $34.5

Final price for snow shovels

= $105.57 for 3 shovels

Each will cost = $105.57/3

= $35.19

Now considering the bags of salt

Initial price = $6.20 each

Final price = $39.06 for 6 bags

Each bag cost = $39.06/6

= $6.51

Now apply the formula in equation (1)

For snow shovels

($35.19- $34.5)/$34.5 × 100/1

= 0.69/34.5 × 100/1

= 0.02×100/1

= 2%

For bags of salt

($6.51-$6.20)/$6.20 ×100/1

0.31/6.20×100/1

0.05×100/1

= 5%

Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.

what is the 3.5mi circumstances i also need help with this if you guys can help me

Answers

Udhehrbr shrugged dhehr when

plx help dont lie about the right answer

Answers

Answer:

c

Step-by-step explanation:

equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest

Answers

Answer:

24/5: 48/10

22/3: 44/6

plz mark me as brainliest.

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.

Answers

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

PLEASE HELP!! This is due today!

Answers

Answer:

$20.4

Step-by-step explanation:

20% of 17= 3.4

Add it to the initial $17 and you get $20.4

Answer: $20.40

Step-by-step explanation:

Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.

17 * 120%

= 17 * 1.2

= 20.4

The total amount of money you spent at the salon and barbershop is $20.40

Your answer is correct :)

(-3)=−22−3+11
EVALUATE

Answers

Answer:

− 3 = − 14

Step-by-step explanation:

Hope this helps !

What is the value of this prism?
A) 56.3
B) 11.75
C) 31.5
D) 63.0
Please help :P

Answers

Answer:

The value of the prism is 56.3

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