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Answer:

The standard deviation of the number of females in the sample is 3.21.

Step-by-step explanation:

For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.

Standard deviation of the hypergeometric distribution:

We have that:

N is the population size.

n is the sample size.

s is the number of successes in the sample.

The standard deviation is given by:

[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]

A small liberal arts college in the Northeast has 350freshmen.

This means that [tex]N = 350[/tex]

One hundred five of the freshmen are female.

This means that [tex]s = 105[/tex]

Suppose sixty freshmen are randomly selected

This means that [tex]n = 60[/tex]

Find the standard deviation of the number of females in the sample.

[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]

The standard deviation of the number of females in the sample is 3.21.

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

Answer:

[tex]Rate = 0.935042^\circ /cm[/tex]

Step-by-step explanation:

Given

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]T(x,y) =x\sin2y[/tex]

[tex]r = 1m[/tex]

[tex]v = 2m/s[/tex]

Express the given point P as a unit tangent vector:

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]

Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]

Where

[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]

So: the gradient becomes:

[tex]\triangle T = \nabla T * u[/tex]

[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]

By vector multiplication, we have:

[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]

[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]

[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]

[tex]\triangle T = 0.935042[/tex]

Hence, the rate is:

[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]

Answer:

I would say B

Step-by-step explanation:

26-4s=9s

⇔26=9s+4s

⇔26=13s

⇔s=2

Answer:

s = 2

Step-by-step explanation:

26 - 4s = 9s

add 4s to 4s and 9s

that equals 13

26/13 = 13s/13

s = 2

Answer:

A is , 18.1058 B is  , 24.91575

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2

2. 3

3. 6

4. 2

5. 4

Answer:

50 days

Step-by-step explanation:

5/3 = 50/30

pls brainliest

Answer:

We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms

Step-by-step explanation:

Given the data :

8.25 7.35 9.05 8.00 8.25 8.75 9.00 7.60 8.45 8.55

Using calculator :

Mean, x = 8.325

Standard deviation, s = 0.560

Null hypothesis :

H0: μ = 8

H1 : μ > 8

The test statistic,

(x - μ) / (s/sqrt(n))

(8.325 - 8) / (0.56 / sqrt(10))

0.325 / 0.177

= 1.835

The Pvalue ; using the Tstatistic calculator ;

α = 0.05 ; df = 10 - 1 = 9

Pvalue = 0.04985

Reject H0 ; if Pvalue is < α

Hence, since 0.04985 < 0.05 ; we reject H0

. We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms

Answer:

Step-by-step explanation:

The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases

A=h(b1+b2)/2

Here we have h=8cm, b1=6cm, and b2=11cm so

A=8(6+11)/2

A=8(17)/2

A=4(17)

A=68 cm^2

1. 12 (i think)

i don't know about question 2

Answer: -8 > -6

Step-by-step explanation:

Answer:

the difference between a number and 10 simply means ,that number minus 10

hope it helps. please do me a favor and Mark me Brainleist please please please please please please please please please please please please please please please please please please please please.

Answer:

y = - ( x + 2 )² + 14

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.

h = - [tex]\frac{b}{2a}[/tex]

~~~~~~~~~~~~

f(x) = - x² - 4x + 10

a = - 1, b = - 4, c = 10

h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2

k = - ( - 2)² - 4( - 2) + 10 = 14

(h, k) = ( - 2, 14 )

y = - ( x + 2 )² + 14

Answer:

nine z plus nine z.

lol tell me.if.its wrong

Answer:

what is this a maths problem

Answer:

well thats high school stuff so pay attention in ur classes.

Step-by-step explanation:

Answer:

x= 27

Step-by-step explanation:

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

[tex] {x}^{2} - 10x = 39[/tex]

[tex]( \frac{ - 10}{2} ) {}^{2} = 25[/tex]

[tex] {x}^{2} - 10x + 25 = 64[/tex]

Step 2: Turn the left side into a binomial

[tex](x - 5) {}^{2} = 64[/tex]

Step 3: Solve for x.

[tex]x - 5 = + - 8[/tex]

[tex]x - 5 = 8[/tex]

[tex]x = 13[/tex]

OR

[tex]x - 5 = - 8[/tex]

[tex]x = - 3[/tex]

X=-3 or X=13

5.7

Pythagorean Theorem is a² + b² =  c²

Answer:

x = 5.7

Step-by-step explanation:

Formula:

a² + b² = c²

4² + b² = 7²

16 + b² = 49

b² = 49 - 16

b² = 33

[tex]\sqrt{b^2} =\sqrt{33}[/tex]

b = 5.7

Answer:

18

Step-by-step explanation:

Answer:

yes 18 is correct

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

[tex]\sqrt{x+3}+4=5[/tex]

subtract 4 from each side

[tex]\sqrt{x+3} +4-4=5-4[/tex]

square both sides

[tex]\sqrt{x+3}^2=1^2[/tex]

so we have

[tex]x+3=1[/tex]

subtract 3 from each side

[tex]x+3-3=1-3[/tex]

so our answer is [tex]x=-2[/tex]

Answer:

1 times 89 = 89 lol    1 x 7= 7

Step-by-step explanation:

hope this helps lol

Answer:

3

Step-by-step explanation:

If you count the units its three units away from each other.

Answer:

5 preschoolers

Step-by-step explanation:

So this question states that yesterday, 10 preschoolers chose to play with stuffed animals and 10 different preschoolers chose to so other activities.

We can assume that there were 20 preschoolers at school yesterday (10 + 10 = 20).

From this given information, we can conclude that the preschoolers who would chose to play with stuffed animals would be the same amount at the preschoolers who would chose to do other activities.

Using all of the given information, we can also find that:

10/20 or 1/2 of the preschoolers would chose to play with the stuffed animals

and

10/20 or 1/2 of the preschoolers would chose to do other activities

We are then given that there are 10 preschoolers at school today. We are asked to find out how many of the preschoolers are expected to chose to play with the stuffed animals.

Previously, we found that 1/2 of the preschoolers yesterday chose to play with the stuffed animals. We can use this to find the expected amount of preschoolers who will chose to play with the stuffed animals today.

We can do this by multiplying 1/2 with the number of preschoolers today, or 10:

10 × 1/2 = 10/2 = 5

So it is expected that 5 preschoolers would chose to play with the stuffed animals today.

I hope you find my answer to be helpful. Happy studying.

The fair share measure would mean that the score of 72 would be the score all 27 students got on the test if they all had the same score.

A fair share measure of the center of the test scores is 72 be the score all 27 students got on the test.

We have given that

a class of 27 students had a mean of 72 on a test,

An equitable or reasonable portion or share of something

The fair share measure would mean that a score of

72 be the score all 27 students got on the test.

If they all had the same score.

Therefore 72 was the score all 27 students got on the test.

To learn more about the fair share visit:

https://brainly.com/question/25957457

Answer:

so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3

Step-by-step explanation:

Answer:

x= 49.1

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

there is no picture?

Step-by-step explanation: