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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.

Answer:

i dont see the picture clearly

Step-by-step explanation:

Answer:

Given:

33k=1,716

k=1716/33

k=52

Answer:

area is 26.75 units^2

Step-by-step explanation:

Top Triangle area is (3.5*9)/2=15.75

Square area is 2*2=4

Left bottom triangle is (2*2)/2=2

bottom right triangle is (2*5)/2=5

15.75+4+2+5=26.75

Answer:

Step-by-step explanation:

Use the law of sines:

Apply to the given triangle:

Answer:

A. 27 fish

Step-by-step explanation:

4/3 = 36/f

4f = 108

f = 27

Answer:

Step-by-step explanation:

I know what your thinking YOU DIDNT ANSWER!!!!! but think again i did, it is just an imaginary answer. dad jokeCRINGE!!!!!

Answer:

2 imaginary numbers

Step-by-step explanation:

x^2-7x+13=0

C=(-7)^2-4x1x13

D=-3

2 imaginary numbers

Answer:

56

Step-by-step explanation:

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The area of the triangle.

= 1/2 x base x height

The area of the triangle is 105760 cm².

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

In ΔVWX.

w = 680 cm

∠X=80°

∠V=32°

This means,

∠W + ∠X + ∠V = 180

∠W = 180 - 112

∠W = 68°

This means,

68° = 680

1° = 10

Now,

∠X=80°

x = 800 cm

∠V=32°

v = 320 cm

Now,

           V

        /   |   \

(x)   /     |     \  (w)

   /        |        \

W         M        X

          (v)

680² = VM² + (320/2)²

462400 = VM² + 25600

VM² = 436800

VM = 661 cm

Thus,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 320 x 661

= 160 x 661

= 105760 cm²

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

110

Step-by-step explanation:

The first step is to rearrange the number from smallest to the biggest

62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164

Median is described as the middle number

Hence the median is 110

Answer:

control group: second batch

explanatory variable: new brand of yeast

response variable: height, texture, and taste

Step-by-step explanation:

Answer:

Explanatory variable = new brand of yeast

Response variable = height, texture, and taste

Control group = first batch

**See screenshot of graded answer

Answer:

2052

Step-by-step explanation:

19 times 18=342

342 times 6=2052

Answer:

91 cents

Step-by-step explanation:

3 quarters+3 nickel+1 penny=91 cents

Answer:

91 cents

Step-by-step explanation:

3 quarters=75c

3 nickels=15c

1 penny=1c

75c+15c+1c=91 cents

Answer:

E

Step-by-step explanation:

When is comes to a system of equations, the point where the lines intercept is the answer.

Answer:[tex]\frac{1}{42}[/tex]

Step-by-step explanation:

1 out of 7 times 1 out of 6

[tex]\frac{1}{7} *\frac{1}{6} = \frac{1}{42}[/tex]

Answer:

C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.

Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Answer:

1. 6(m + 4) = 6m + 24

2. 2 + (m + x) = (2 + m) + x

3. x + 3 = 3 + x

4. 3(2y - 6) = 6y - 18

5. m(y + 5) = my +5m

Step-by-step explanation:

1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.

2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.

3. The commutative property means terms can change in order, and you will still get the same result.

4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.

Let me know if you have questions.

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

Answer:

Step-by-step explanation:

Tutoring ABC - $50 sign up and $12 an hour

HW helps- $38 sign up and $15 an hour

 50                                    38

+12                                    +15

62                                     53

+12                                   +15

74                                     68                        Four months

+12                                  + 15

86                                     83

+12                                   +15

98                                    98

Answer:

52 pints in 6.5 gallons.

Step-by-step explanation:

6.5 *8= 52

Answer:

52 pints

Step-by-step explanation:

6.5 * 8 = 52

(*8 because there are 8 pints in a gallon)

Answer:

0.04%

Step-by-step explanation:

To find a percentage, we want to create a ratio of a portion by the total.

Our portion is 2.

Our total is 5000.

Let's create the ratio by dividing the numbers.

2/5000

Divide.

= 0.0004

Multiply this by 100 to find the percentage.

0.04%

This is your answer.

Check your answer by plugging it into a percentage equation.

0.04/100 of 5000 = 2

0.0004 • 50000 = 2

2 = 2

Your answer is correct.

Hope this helps!

Answer:

problem is undefined meaning there is no triangle

9514 1404 393

Answer:

  -5/y

Step-by-step explanation:

The wording "the quotient of A and B" is used to signify A/B.

Here, we want the quotient of -5 and y:

  -5/y

Answer: q=5/3

Step-by-step explanation:

Let's take our equation

7/3=q+2/3

-2/3   -2/3

5/3=q

q=5/3

Answer: q = 5/3

Step-by-step explanation: Step 1: Flip the equation.

q + 2/3 = 7/3

Step 2: Subtract 2/3 from both sides.

q + 2/3 - 2/3 = 7/3 - 2/3

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

Answer:

2x+6=4x-10[corresponding angle]

16=2x

x=8

again

2×8+6+13y-24=180°[linear pair]

13y=180+2

y=182/13

y=14