A small liberal arts college in the Northeast has 200 freshmen. Sixty of the freshmen are education majors. Suppose thirty freshmen are randomly selected (without replacement).
Find the standard deviation of the number of education majors in the sample. Round your answer to two decimal places, if necessary.

Answers

Answer 1

The standard deviation of the number of education majors in the sample is 0.3.

What is the standard deviation of education majors?

The standard deviation of the number of education majors in the sample is calculated as follows;

σ = √ [(N - n) x n(N - k) / ((N - 1) x N²)]

Where

N is the total population size = 200 freshmenn is the sample size = 30 freshmenk is the number of successes in the population = 60 education majors

The standard deviation of the number of education majors in the sample is calculated as;

σ = √[(200 - 30) x 30(200 - 60) / ((200 - 1) x 200²)]

= √[(170 x 30 x 140 / (199 x 40000)]

= √(714000 / 7960000)

= 0.3

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Related Questions

Can you please help :)

Can you please help :)

Answers

Answer:

6 in.

Step-by-step explanation:

The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes and Dietary Patterns of Older Americans: A National Study" (J. of Gerontology, 1992: M145–150) reports the following summary data on intake for a sample of males age 65–74 years: n=115, barx =11.3, and s=6.43. Does this data indicate that average daily zinc intake in the population of all males ageing 65–74 falls below the recommended allowance?
A. State the null and alternative hypotheses.
B. Calculate the test statistic
C. Define the rejection region at ?=0.05.
D. Make a decision about the test and interpret.
E. Find the p-value corresponding to the test and based on which make a decision about the test. (The decision should be the same with D.)

Answers

Answer:

H0 : μ = 15

H1 : μ < 15

−6.170774

Step-by-step explanation:

Given :

n=115, barx =11.3, and s=6.43

H0 : μ = 15

H1 : μ < 15

−0.053658 ;

The test statistic :

(xbar - μ) ÷ s/sqrt(n)

(11.3 - 15) ÷ (6.43/sqrt(115))

Test statistic = −6.170774

Rejection region :

Reject Null ; if

Tstatistic < Zcritical

The P value is 0.00001 ; using the p value from Z calculator

Since,

P value < α

0.00001 < 0.05

Reject the null

Write an input and output pair that is a function and stays a function when you switch the input and output

Answers

9514 1404 393

Answer:

  {(1, 2), (3, 4)}

Step-by-step explanation:

If you want both the relation and its inverse to be functions, there can be no repeated x-values, and no repeated y-values.

In the above pair of points, I have avoided duplicates by making all of the values different. That is not necessary, but it satisfies this problem easily.

help i will give brainest

help i will give brainest

Answers

Answer:

So sorry , but the pic isn't very seen well

Answer: Could you repost your answer so I can get a better look at it please.

Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3  and Use your expansion to find (1.9)5

Answers

Answer:

Diet and behavior

These awe-inspiring giants tend to be solitary animals—with the exception of females and their cubs—but at times they do congregate. Dramatic gatherings of grizzly bears can be seen at prime Alaskan fishing spots when the salmon run upstream for summer spawning. In this season, dozens of bears may gather to feast on the fish, craving fats that will sustain them through the long winter ahead.

Brown bears dig dens for winter hibernation, often holing up in a suitable-looking hillside. Females give birth during this winter rest, often to twins.

Grizzly bears are powerful, top-of-the-food-chain predators, yet much of their diet consists of nuts, berries, fruit, leaves, and roots. Bears also eat other animals, from rodents to moose.

Despite their impressive size, grizzlies have been clocked running at 30 miles an hour. They can be dangerous to humans, particularly if surprised or if humans come between a mother and her cubs.

Habitat

Grizzlies once lived in much of western North America and even roamed the Great Plains. These animals need a lot of space—their home range can encompass up to 600 square miles—so their ideal habitat is one that is isolated from development and has plenty of food and places to dig their dens.

Though European settlement gradually eliminated the bears from much of their original habitat, grizzly populations can still be found in parts of Wyoming, Montana, Idaho, and Washington State. They’re one of the most iconic residents of Yellowstone National Park. Many grizzlies also still roam the wilds of Canada and Alaska, where hunters pursue them as big game trophies.

Tom weighs 5kg more than Harry. Harry weighs 3kg more than Freddie who, in turn weighs
2 kg less than Alfie. What is the difference, in kilograms, between Tom and Alfie?

Answers

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Translate the following: "Four times a number n is equal to the difference between that number and 10"

Answers

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

Which graph has a domain of -∞ < x < ∞ and a range of -∞ < y

Which graph has a domain of - &lt; x &lt; and a range of - &lt; y

Answers

The graph of the option in the question has a domain of -∞ < x < 3.5.

Please find attached the drawing of a graph that has a domain of -∞ < x < ∞

Which method can be used to find the graph that has a domain of -∞ < x < ∞?

The domain of a graph are the possible x-values that can be obtained from the graph.

A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.

An asymptote is a straight line to which a graph approaches, as either the x or y-value approaches infinity.

The given graph has a vertical asymptote at y ≈ 3.5

The domain of the given graph is therefore, -∞ < x < 3.5

Similarly, the graph has a horizontal asymptote at x ≈ 3

The range of the given graph is therefore, -∞ < y < 3.

A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.

A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.

An example is, y = x

A graph that has a domain of -∞ < x < ∞ is attached.

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Which graph has a domain of - &lt; x &lt; and a range of - &lt; y

A 60 minute television program consists of 6 commercials, each 2.5 minutes long, and four equal length entertainment segments. How long is each entertainment segment?

Answers

Answer:

5 minutes

Step-by-step explanation:

Please solve this with clear steps!!!!! 20 POINTS

Please solve this with clear steps!!!!! 20 POINTS

Answers

The width of the river using the similar triangle is 43.3 metres.

How to find the width of the river?

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Solve for x....................................

Solve for x....................................

Answers

Answer:

x = 4.5 is the answer to the question

What is the relationship between the angles of this equilateral triangle

What is the relationship between the angles of this equilateral triangle

Answers

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

what is the value of z in -2z+4 >+-4

Answers

The value of z is greater than 4

What are algebraic expressions?

Algebraic expressions are expressions consisting of variables, constants, terms and factors.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

- 2z + 4 > +- 4

-2z + 4 > - 4

collect like terms

- 2z > - 4 - 4

- 2z > -8

Make 'z' the subject of formula

z > -8/-2

z > 4

Thus, the value of z is greater than 4

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A video game is on sale for $25. This is 45% of the original price. What was the original price of the video game. Give a explanation (i will be marking brainliest)

Answers

Answer:

$36.25 is the original price

Step-by-step explanation:

$25= on sale

to find out the original price, multiply .45* 25, then add 25

.45*25=11.25

11.25+25=36.25

E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18

Answers

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

What is the volume of this rectangular pyramid?
5 in
3 in
3 in

Answers

The volume of the rectangular pyramid is 15 in³.

Given that a rectangular pyramid, with dimensions 5 in × 3 in × 3 in we need to find the volume,

So,

Volume = length × width × height / 3

= 5 × 3 × 3 / 3

= 15

Hence the volume of the rectangular pyramid is 15 in³.

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My age this year is multiple of 8. My age next year is a multiple of 7. How old am I?

Answers

Solution

8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

What is multiple?

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Use implicit differentiation to find dy/dx and d^2y/dx^2.

Use implicit differentiation to find dy/dx and d^2y/dx^2.

Answers

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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please help me with this question.​

please help me with this question.

Answers

Answer:

(D) 10

Step-by-step explanation:

The factors of 77 are 11 and 7

77 = (x + 1)(y + 1)

Since x > y

x + 1 = 11

x = 11 - 1

or

x = 10

Answer choice D

1) A sample of 17 patients in a hospital had these hemoglobin readings (grams):
112 120 98 55 71 35 99 124 64
150 150 55 100 132 20 70 93
Find a 95% confidence interval for the hemoglobin reading for all the patients in the hospital.

2) A sample of 500 nursing applications included 60 from men. Find the 90% confidence interval for the true proportion of men who applied to the nursing program.

3) Average undergraduate cost for tuition, fees, room, and board for all institutions last year was $19,410. A random sample of costs this year for 40 institutions of higher learning indicated that the sample mean was $22,098, and the sample standard deviation was $6050. At the α=0.01, is there sufficient evidence to conclude that the cost of attendance has increased?

Answers

Answer:

Step-by-step explanation:

1)

Mean = (112 + 120 + 98 + 55 + 71 + 35 + 99 + 124 + 64 + 150 + 150 + 55 + 100 + 132 + 20 + 70 + 93)/17 = 91.1

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (112 - 91.1)^2 + (120 - 91.1)^2 + (98 - 91.1)^2 + (55 - 91.1)^2 + (71 - 91.1)^2 + (35 - 91.1)^2 + (99 - 91.1)^2 + (124 - 91.1)^2 + (64 - 91.1)^2 + (150 - 91.1)^2 + (150 - 91.1)^2 + (55 - 91.1)^2 + (100 - 91.1)^2 + (132 - 91.1)^2 + (20 - 91.1)^2 + (70 - 91.1)^2 + (93 - 91.1)^2 = 23550.97

s = √23550.97/17 = 37.2

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 37.2

n = number of samples = 17

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 17 - 1 = 16

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.12

Margin of error = 2.12 × 37.2/√17

= 19.13

The 95% confidence interval for the hemoglobin reading for all the patients in the hospital is

91.1 ± 19.13

2) Confidence interval for population proportion is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

x = 60

p = 60/500 = 0.12

q = 1 - 0.12 = 0.88

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, Tthe z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.12 ± 1.645√(0.12)(0.88)/500

Confidence interval = 0.12 ± 0.024

3) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 19410

For the alternative hypothesis,

µ > 19410

This is a right tailed test.

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 19410

x = 22098

σ = 6050

n = 40

z = (19410 - 22098)/(6050/√40) = - 2.81

Looking at the normal distribution table, the probability corresponding to the z score is 0.0025

p value = 0.0025

Since alpha, 0.01 > than the p value, 0.0025, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is sufficient evidence to conclude that the cost of attendance has increased.

Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58

Answers

Answer:

A is the answer it sounds more likely

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

What is probability?

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

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Which of the following is a right triangle?
A.
a triangle with sides measuring 13, 15, and 19
B.
a triangle with sides measuring 17, 25, and 36
C.
a triangle with sides measuring 20, 21, and 29
D.
a triangle with sides measuring 18, 23, and 41

Answers

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

Answer:

C.

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = 841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=+p² )

helppfind the value of x and y ​

helppfind the value of x and y

Answers

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

helppfind the value of x and y

Give the digits in the tens place and the tenths place.
97.42

Give the digits in the tens place and the tenths place.97.42

Answers

Answer:

9: tens place

4: tenths place

Step-by-step explanation:

what is 0.42 as a percentage

Answers

Answer:

42%

Step-by-step explanation

0.42 = 42/100

to find percent you need to find how much is it out of 100

42/100 = 42%. :)

Answer:

42%

Step-by-step explanation:

If you have a hard time determining how to calculate a decimal into a percentage, just move the number to places to the left.

Hope this helped!

Thanks!

Your friend in answering,

~Steve

find x and y please explain really well

find x and y please explain really well

Answers

X=30 and y=60 I believe

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

Find the missing side length, m.

Find the missing side length, m.

Answers

Answer:

I believe the answer is 6.6

Step-by-step explanation:

If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6

tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill? ​

Answers

Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?

76. In the diagram below, lines land mareparallel. Both are intersected bytransversal t.What is the value

Answers

4x = 2x + 30 Alternate angles in parallel lines are equal
2x = 30
x = 15

A bag has 42 red marbles, 15 blue marbles, 8 green marbles, and 3 orange marbles in it. If a marble from the bag is selected at random, what is the probability that the marble is not orange?

Answers

Answer:

65/68

Step-by-step explanation:

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