Question 10 of 10
If a sample mean is 37, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (28,36)
B. (32, 42)
C. (34, 42)
D. (30,38)

Answer:

C. n = 90; p = 0.8

Step-by-step explanation:

According to the Central Limit Theorem, the distribution of the sample means will be approximately normally distributed when the sample size, 'n', is equal to or larger than 30, and the shape of sample distribution of sample proportions with a population proportion, 'p' is normal IF n·p ≥ 10 and n·(1 - p) ≥ 10

Analyzing  the given options, we have;

A. n = 45, p = 0.8

∴ n·p = 45 × 0.8 = 36 > 10

n·(1 - p) = 45 × (1 - 0.8) = 9 < 10

Given that for n = 45, p = 0.8, n·(1 - p) = 9 < 10, a normal distribution can not be used to approximate the sampling distribution

B. n = 90, p = 0.9

∴ n·p = 90 × 0.9 = 81 > 10

n·(1 - p) = 90 × (1 - 0.9) = 9 < 10

Given that for n = 90, p = 0.9, n·(1 - p) = 9  < 10, a normal distribution can not be used to approximate the sampling distribution

C. n = 90, p = 0.8

∴ n·p = 90 × 0.8 = 72 > 10

n·(1 - p) = 90 × (1 - 0.8) = 18 > 10

Given that for n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution

D. n = 45, p = 0.9

∴ n·p = 45 × 0.9 = 40.5 > 10

n·(1 - p) = 45 × (1 - 0.9) = 4.5 < 10

Given that for n = 45, p = 0.9, n·(1 - p) = 4.5 < 10, a normal distribution can not be used to approximate the sampling distribution

A sampling distribution Normal Curve

45 × (1 - 0.8) = 9

90 × (1 - 0.9) = 9

90 × (1 - 0.8) = 18

45 × (1 - 0.9) = 4.5

Now we will investigate the shape of the sampling distribution of sample means. When we were discussing the sampling distribution of sample proportions, we said that this distribution is approximately normal if np ≥ 10 and n(1 – p) ≥ 10. In other words

Therefore;

A normal curve can be used to approximate the sampling distribution of only option C. n = 90; p = 0.8

Answer: A- the number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.

Step-by-step explanation:

Answer:

C.

The number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.

Step-by-step explanation:

I know its not helpful but i did the study island and it was right, sorry for the inconvineince

Answer: C

Step-by-step explanation:

Answer: the answer is 19

Step-by-step explanation:

Answer:

3460 m

Step-by-step explanation:

There are 1000 meters in a kilometer and since Doreen walks 3.46 km, she must walk 3460 m.

3.46 x 1000 = 3460

Answer:

3.46 km = 3.46*1000m = 3460 m

Answer:

112

Step-by-step explanation:

Expected Value is anticipated value, calculated by multiplying each of possible outcomes with their probability of occurrence.

If Price has = 60% chance of value 120 , & 40% chance of value 100

Expected Value = Sum ( Probability of outcome x Payoff )

E (X) = Σ [ xi . PR ( xi ) ] =  x1. Pr (x1) + x2 . Pr (x2)

= 0.6 (120) + 0.4 (100) = 72 + 40

= 112

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

Work Shown:

Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(37) = 30/x

x*cos(37) = 30

x = 30/cos(37)

x = 37.5640697  approximately

x = 37.6

Answer:

Step-by-step explanation:

11+4=15

The sixth term of an arithmetic sequence with fifth and common difference of 11 and 4 respectively is 15

aₙ = a + (n - 1)d

where

Therefore,

11 = a + 4d

d = 4

Hence,

11 = a + 4(4)

11 = a + 16

a = 11 - 16

a = -5

Therefore, the sixth term is as follows

a + 5d = a₆

-5 + 5(4) = a₆

a₆ = -5 + 20

a₆ = 15

learn more on arithmetic sequence here: https://brainly.com/question/11242271

Answer:

A = 1

B = 2

C = 10

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

The slopes of parallel lines are negative reciprocals

------------------------------

y = 2x + 7

slope  = 2

slope of perpendicular line is the negative reciprocal of 2

slope = -1/2

y = 5x - 5

y-intercept is -5

-----------------------

slope intercept form of perpendicular line

using slope = -1/2 and y-intercept  = -5

y = -(1/2)x - 5

Change to standard form:

multiply both sides by 2

2y = -x - 10

Add x + 10 to both sides

x + 2y + 10 = 0

Therefor

A = 1

B = 2

C = 10

Answer:

the answer is 7

Step-by-step explanation:

Compounded Continuously:

A=Pe^rt

A=8600

P=7600

r=0.019

8600=7600e^0.019t

[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]

1.1315789=e^0.019t

In(1.1315789)=e^0.019t

ln(1.1315789)=

\,\,0.019t

0.019t

6.5059977=t

t=7

thxxxx byee

Answer:

-14

Step-by-step explanation:

Type it in a calculator

Answer:

-14

Step-by-step explanation:

positive 9 × 2 = 18 ÷ 3 = -6

negative 6 + negative 8 = - 14

a negative plus a negative always equals a negative

Hope this helps or if you don't understand you can use photo math <3

A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.

We have the following parameters:

[tex]Annual\ Income = \$66000[/tex]

[tex]Monthly\ Expenses = \$5300[/tex]

To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)

So, we have:

[tex]Monthly\ Income = \$66000 \div 12[/tex]

[tex]Monthly\ Income = \$5500[/tex]

The difference between the monthly income and the expenses is:

[tex]Difference = Monthly\ Income - Monthly\ Expenses[/tex]

[tex]Difference = \$5500 - \$5300[/tex]

[tex]Difference = \$200[/tex]

The above result multiplied by 60 is:

[tex]Product = Difference \times 60[/tex]

[tex]Product = \$200 \times 60[/tex]

[tex]Product = \$12000[/tex]

$12000 is greater than $10000

Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.

Learn more about bankruptcy test at:

https://brainly.com/question/4418659

Answer:

For 1, you'd have 14, 7, 0, -7

Step-by-step explanation:

Remember arithmetic sequences are adding the same thing (the difference) over and over and over. So in this case, you have the following:

1st blank: 14 + d

2nd blank: 1st blank + d OR (14 + d) + d = 14 + 2d

the -7 then is the 2nd blank + x OR [(14 + d) + d] + d

So you are adding 3d to the 14 to get to the -7. Set that up as the equation:

14 + 3d = -7.

When you solve for d, you get -7. That's what you'll add to 14 to get the first number, then add it again to get the second, etc.

The coefficient in front of d will always be one more than the number of spaces since you are adding the difference to find each blank IN ADDITION TO the last number in the sequence. So #4 would be setup like this:

2 + 5d = 57

Good luck!

Answer:

In statistics, the range of a set of data is the difference between the largest and smallest values.

Step-by-step explanation:

Easy as pie

Answer:

yes

Step-by-step explanation:

half of 6 is 3 so

Answer:

50 degrees

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

also, if you know someone who is a moderator, can you please ban/supended this persons account? The username is IHATELGTBQ. If you look into the answers he puts on his questions, they are incredibly distrubing. I would like to contact Brainly.com, but i.dk how  Thank you!

Answer:

4

Step-by-step explanation:

I think I'm not that sure

Answer:

h = 0

Step-by-step explanation:

Ok, I got you.

To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.

y = the y - value of a point

m = the slope

x = the x - value of a point

b = the y - intercept (or where the line starts)

So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.

That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.

Simply, plug in the y and x values where they belong.

2 = 6 (-1) + b

(Remember the 6 is the slope)

Now, solve for b.

2 = -6 + b

8 = b

Now, you know the y - intercept.

So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.

So...

8 = 6 (x) + 8

(Remember 6 is the slope and 8 is the y - intercept)

Now, solve for x.

8 = 6x + 8

0 = 6x

0 = x

The value of h is 0.

I hope this helps :)

Answer:The four gospels that we find in the New Testament, are of course, Matthew, Mark, Luke, and John. The first three of these are usually referred to as the "synoptic gospels," because they look at things in a similar way, or they are similar in the way that they tell the story.

Step-by-step explanation:

Answer:

Matthew, Mark, Luke, and John I think.

Step-by-step explanation:

Answer:

Step-by-step explanation:

pattern by pattern

Answer:

I think it will be f= -2/3x-4/3

I think that is correct I wasn't sure what you were looking for

Step-by-step explanation:

Answer:

126.5 cm²

Step-by-step explanation:

(23×11)×1/2=Area

(253) × 1/2

=126.5

hope this helped

Answer:

A

Step-by-step explanation:

A = 8/7

B = -7/8

C = .78

A is the greatest

Answer:

f(x) = 2x, x > 2

Step-by-step explanation:

f(x) = 2x, x > 2

Since choices weren't given I only know one of the lines

Answer:

5[tex]t^{2}[/tex](5t-7)(25[tex]t^{2}[/tex]+35t+49)

Step-by-step explanation:

Answer:

thirty-four hundredths is 0.34

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

Answer:

c) 0 slope

Step-by-step explanation:

the line is parallel to Y axis. this, it'll have 0 slope

Answer:22.1

Step-by-step explanation: tan44.2=h/100

tan44.2*100=h

22.102863493=h

h=22.1(nearest tenth)