In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.4 letters with a standard deviation of 2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words are selected from each book. Let xC represent the sample mean word length in the children’s book and let xT represent the sample mean word length in the teen novel.

Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution is approximately Normal.
What is the probability that the sample mean word length is greater in the sample from the children’s book than in the sample from the teen novel?

Answers

Answer 1

Answer:

Find the mean of the sampling distribution of xC-xT

Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.

Justify that the shape of the sampling distribution

Step-by-step explanation:

2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words


Related Questions

use the two points and the line to find the y-intercept

a. (-1, -1)
b. (-2, -6)
c. (- 3/4, 0)
d. (0, 4)​

Answers

Answer:

0,4, That is the y intercept.

Step-by-step explanation:

Hope I helped :)

5.7 is increased to 7.8
What is the percentage of increase?

Answers

Answer:

7.8%

Step-by-step explanation:

Answer:

The percentage of increase is 37%

Step-by-step explanation:

The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase

7.8 - 5.7 = 2.1

The difference between 7.8 and 5.7 is 2.1

So now we divided 2.1 by the number before the increase, in this case, 5.7

2.1 ÷ 5.7 = 0.3684

0.3684 rounded to the nearest hundredth is 0.37

Thus the percentage of increase is 37%

Determine the center of the circle whose equation is (x – 5)2 + (y + 7) = 14

Answers

Answer:58 approximately c

Step-by-step explanation:

Meliyah is an administrative assistant. She earns a weekly salary of $412.00. She applied and was hired for an administrative specialist position. Meliyah’s annual salary in her new position will be $24,388.00. How much will Meliyah’s weekly salary be in her new position?

Answers

Answer:

[tex]Weekly\ Salary = \$469[/tex]

Step-by-step explanation:

Given

[tex]Current = \$412.00[/tex] --- weekly

[tex]NEw = \$24.388.00[/tex] --- annually

Required

Determine her new weekly salary

To do this, we simply divide her salary by 52 (the number of weeks).

So, we have:

[tex]Weekly\ Salary = \frac{\$24,388.00}{52}[/tex]

[tex]Weekly\ Salary = \$469[/tex]

Her weekly salary is $469

Lara draws some triangle models with the measurements she wants to use to construct them. Which of these
triangle constructions would NOT be possible?
a triangle with side measurements of 3, 4, and 6 inches

a triangle with side measurements of 2, 3, and 5 inches
a triangle with side measurements of 3, 3, and 4 inches
a triangle with side measurements of 5, 5, and 5 inches.

Answers

Answer:

a triangle with side measurements of 5, 5, and 5 inches​

Step-by-step explanation:

I took the test.

Construction of triangle with side measurement 2 inch, 3 inch, 5 inch is not possible.

What is triangle equality theorem?

This theorem simply states that the sum of two sides of a triangle must be greater than the third side. If this is true for all three combinations, then you will have a valid triangle.

If triangle has the sides, a ,  b and c then

a + b > c

b + c > a

a + c > b

Given length of the sides,

a)  Triangle made with sides having length 3 inch, 4 inch, 6 inch.

3 + 4 > 6 ; 4 + 6 > 3 ; 3 + 6 > 4

= 7 > 6 ; 10 > 3 ; 9 > 4

Triangle inequality theorem is satisfied, hence triangle construction is possible

b)  Triangle made with sides having length 2 inch, 3 inch, 5 inch.

2 + 3 > 5 ; 3 + 5 > 2 ; 2 + 5 > 3

= 5 = 5 ; 8 > 3 ; 7 > 3

Triangle inequality theorem is not satisfied, hence triangle construction is not possible

a)  Triangle made with sides having length 3 inch, 3 inch, 4 inch.

3 + 3 > 4 ; 3 + 4 > 3 ; 3 + 4 > 3

= 6 > 4 ; 7 > 3 ; 7 > 3

Triangle inequality theorem is satisfied, hence triangle construction is possible

a)  Triangle made with sides having length 5 inch, 5 inch, 5 inch.

5 + 5 > 5 ; 5 + 5 > 5  ; 5 + 5 > 5

= 10 > 5 ; 10 > 5 ; 10 > 5

Triangle inequality theorem is satisfied, hence triangle construction is possible.

Hence, Triangle with side measurements of 2 inch , 3 inch , and 5 inch is not possible to construct.

Learn more about triangle inequality theorem here:

https://brainly.com/question/30066983

#SPJ6

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

What is x? and how did you get it?

Answers

Answer:

x = 16

Step-by-step explanation:

step 1 - 64 + 100 + x = 180 (all triangles equals 180)

step 2 - 164 + x = 180

step 3 - 164 + x = 180

-164. -164

step 4 - 180 - 164 = 16

step 5 - 100 + 64 + 16 = 180

(I do this part to double check my work)

step 6 - x = 16

Answer:

x = 48

Step-by-step explanation:

The ratio:

x/64 = (100 - 64)/xx² = 64*36x = 48

How to divide 8 by 3 the long way

Answers

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

Answer:

The steps are more or less the same, except for one new addition:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat

Step-by-step explanation:

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.

ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat?

Answers

Answer:

0.25 pints

Step-by-step explanation:

To find how many pints they ate, find the number of pints in half a cup.

In 1 cup, there are 0.5 pints.

This means in half a cup, there will be 0.25 pints.

So, Gio and his friends ate 0.25 pints

20 points!!!Please help HURRY!!!

Answers

Answer:

Definitely not!

Step-by-step explanation:

It was reflected across the x axis, resized and moved in x and y directions, but since the shape ABCD is symmetrical across the y axis, a reflection across y axis won’t change anything!

If the sum of 20 numbers is 440, find the mean of the numbers.

Answers

Answer:

22

Step-by-step explanation:

mean= sum of observations/no: of observations

mean=440/2=22

please mark me brainliest

The mean is 22. You divide 440(the sum) by 20(the amount of numbers) to get the answer.

What are the coordinates of point A?

(8, –6)
(–6, 8)
(–5, 7)
(7, –5) marking brainiest

Answers

Answer:

Can you add an image of the points on a graph so I can help?

Pleaseeee help meeeeeeeee

Answers

Answer:

A. m = -6

Step-by-step explanation:

Select all that apply.
Which graphed lines represent direct variation functions?

line a
line 6
linec
lined

Answers

Answer:

C and D

Step-by-step explanation:

Fossils show that
insects were much larger around 300 million
years ago than they are today. The table at
the right shows some of the wing lengths
found in fossils. How much longer was the
wing length of the dragonfly than the wing
length of the fly?

Answers

Answer:

The wing of the dragonfly was 9.65 cm longer than that of the fly, 102% larger in percentage terms.

Step-by-step explanation:

Since the length of the wing of the old dragonfly was 19.5 cm, while the length of the wing of a common fly is 9.85 cm, to determine how long the dragonfly's wing was compared to that of the fly, the following must be done calculations:

19.5 - 9.85 = X

9.65 = X

Thus, the wing of the dragonfly was 9.65 cm longer than that of the fly. In turn, in terms of percentages, the result is the following:

9.65 = 100

19.5 = X

19.5 x 100 / 9.65 = X

1950 / 9.65 = X

202 = X

Thus, in percentage terms, the dragonfly's wing was 102% larger than that of the current fly.

what is y=− 2/9 x+2 written in standard form?

Answers

Answer:

2x+9y=18

Step-by-step explanation:

Distribute the denominator

y=-2/9x+2

9y=-2x+2

9y+2x=2

im sorry if this is wrong

i need help with this ​

Answers

The answer is negative eight(-8)

if right answer good review

Answers

Answer:

Top left: a is negative and p is positive

Step-by-step explanation:

The formula y = ax + p is referring to the formula y = mx + b where m is the slope and b is the y-intercept.

Since the line is going down, the slope is negative-- a is negative.

Since the line crosses the y-axis above the origin, the y-intercept is positive-- p is positive.

Answer:

a is negative and p is positive

Step-by-step explanation:

The equation y = ax + p is written in slope-intercept form, where a is the slope and p is the y-intercept.

When a slope is negative, the line goes down the further right it goes.

The line on the graph lowers as it moves right, which means that the slope(a) is negative.

The line intercepts the y-axis above the origin, which means that it must be positive.

The following table shows a proportional relationship between j and m.
write an equation to describe the relation between j and m

Answers

Answer:

m=3/4 j or m = .75j

Step-by-step explanation:

Do

5 cm
5 cm
20 cm

form a triangle

Answers

Answer:

Step-by-step explanation:

No. If two sides are 5cm the third side must be less than 2(5)=10cm

Answer: No, a triangle cannot be formed with these side lengths.

=========================================================

Explanation:

Recall that the triangle inequality theorem says that for a triangle to be possible, the sum of any two sides must be larger than the third side.

With these given side lengths, we can see that 5+5 = 10 is not larger than 20, so a triangle is not possible here. I recommend you try it out with 3 slips of paper of these lengths. You should find that the two 5 cm sides are too short to be able to connect to the 20 cm side properly.

a license plate that has 3 numbers from 0 to 9 and 2 letters ​

Answers

Answer:

what's the question there

Which is greater, 0.28 or 0.205? Explain how you know.

Answers

Answer:

Step-by-step explanation:

0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits).  It's easier when we compare numbers having the same number of decimal places.

Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0).  Thus 0.28 is greateer than 0.205.

4 (n-4) + 14

n = 5 btw

Answers

Answer:

=18

Step-by-step explanation:

5-4=1

1x4=4

4+14=18

hope it helped

find the value of w and then x. round side lengths to the nearest tenth and angle measures to the nearest degree​

Answers

Answer:

w = 7.7 units; x = 44°

Step-by-step explanation:

Pls help me with math ASAP

Answers

Answer:

y = 5/2x - 5

Step-by-step explanation:

y-int = -5

slope = 5/2

rise/run

alright my friend i've gotta go but i think you can solve these on your own.

just use the number that's on the Y vertical line to find y-int

and then use 2 points and count up to find the rise and then count across to fine thet run.

use the formula y=mx+b

good luck my friend <3

Answer:

Step-by-step explanation:

(0,-5) (4,5)

(5+5)/(4-0)= 10/4 = 5/2

y + 5 = 5/2(x - 0)

y + 5 = 5/2x - 0

y = 5/2x - 5

(x^2 - 4)(x^2 + x - 12) = 0

Answers

Answer:

is that a T or F

Step-by-step explanation:

Mhanifa please help me with this! I need it done ASAP! I will mark brainliest

Answers

Answer:

[tex]1) \to \: B \\ 2) \to A[/tex]

Answer:

The third one

Step-by-step explanation:

If a square has a side of (3x+5), what is its perimeter?”
O
a.6x + 10
b.3x + 15
c.123 + 5
d.123 + 20

Answers

Answer:

Step-by-step explanation:

The perimeter of a square is four times a side. We are told a side equals 3x+5 so

P=4S

P=4(3x+5)

P=12x+20

Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.

Answers

Answer:

step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi

step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.

Two weeks ago price was $220 now it's $325. What is the percent increase? What is percent increase if there is an additional $50 baggage fee with the new ticket price?

Answers

Answer:

68.18%

Step-by-step explanation:

325+50=375

375-220=155

155÷220×100%

≈68.18%

Which expression is equivalent to −14x+12?


−14(x+2)

14(−x+12)

14(−x+2)

−14(−x+12)

Answers

Step-by-step explanation:

[tex] = - 14x + 12[/tex]

[tex] = - 2 \times 7x + ( - 2) \times 6[/tex]

[tex] = - 2(7x - 6)[/tex]

No Option Solution.

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