A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose. A Students randomly selected from a list of all students at the school. B Students sitting at randomly selected tables in the library. Students she selects from the hallway between classes. Students selected by the teachers.​

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Answer:

  b = 32

Step-by-step explanation:

The law of sines tells you ...

  b = a·sin(B)/sin(A)

  b = 14·sin(75°)/sin(25°) ≈ 31.998

  b ≈ 32 . . . . units

Answer:

i think its a trick question

Step-by-step explanation:

theres no way theres a righr answer the 20$ on is always ahead

Answer:

The answer is x = 5

Step-by-step explanation:

1) Remove parentheses.

[tex]x - 4 - 1[/tex]

2) Add 4 to both sides.

[tex]x = 1 + 4[/tex]

3) Simplify 1 + 4 to 5.

[tex]x = 5[/tex]

Therefor, the answer is x = 5.

Answer:

X = 5

Step-by-step explanation:

This is an example of a basic algebraic equation! The explanation is below

[tex](x-4)=1\\x-4=1\\x-4+4=1+4\\x=5[/tex]

Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!

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Answer:

6

Step-by-step explanation:

We use BODMAS/BIDMAS here.

First, we do 5 × 2, as multiplication comes before subtracting and adding.

5 × 2 = 10

Now we can just add and subtract.

5 - 10 = -5

-5 + 11 = 6

Answer:16

Step-by-step explanation:

well if your asking the space from one athinther there it is

Answer:

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Jury of 90 people:

This means that [tex]n = 90[/tex]

27% were minorities.

This means that [tex]p = 0.27[/tex]

Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.

This is:

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]

[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]

[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]

[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]

[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]

[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]

[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]

[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]

So

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Answer:

alam ko ang tamat mali ngonit akot sabogna

Answer:

xa^2

Step-by-step explanation:

I thought about it for a bit and came up with this:

if you expand a^(b+2) it becomes a^b * a^2

so replace a^b with x.

xa^2

Answer:

if u carry the 7 by7 by 7 by 2 with devizon

Answer:

To get maximum area, the dimensions will be;

l = 200 and b = 100

Step-by-step explanation:

Given the data in the question;

No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.

now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x

as shown in the image below;

so,

Area of rectangle = (400 - 2x) × x = 400x - 2x²

now, to maximize area 'A', we will make A' = 0

⇒ 400 - 2(2x) = 0

400 = 4x

x = 400/4 = 100

so

⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200

∴ Maximum area = ( 400 - 2x) × x

= 200 × 100

= 20000 m²

∴ To get maximum area, the dimensions will be;

l = 200 and b = 100

Answer:

14g x (2-3r)

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

The probability that a male student picks green is 5 / 17

The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.

The probability that a male picks green is:

= Number of males who prefer green / Number of males in total

There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:

= 5 / 17

In conclusion, the probability that a male picks green is 5 / 17.

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Answer:

x = - 4, y = - 1

Step-by-step explanation:

Given the 2 equations

3x + 7y = - 19 → (1)

7x - 4y = - 24 → (2)

Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term

12x + 28y = - 76 → (3)

49x - 28y = - 168 → (4)

Add (3) and (4) term by term to eliminate x

61x + 0 = - 244

61x = - 244 ( divide both sides by 61 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 7y = - 19

- 12 + 7y = - 19 ( add 12 to both sides )

7y = - 7 ( divide both sides by 7 )

y = - 1

Answer:

It will look like this

Step-by-step explanation:

The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

-4x + 5y = 8

Write the line in slope intercept form as shown below,

5y = 4x + 8

y = 4 / 5x + 8 / 5

Put the random values of x and find y,

y = 4 / 5 × 0 + 8 / 5   (when x = 0)

y = 8 / 5

y = 4 / 5 × 1 + 8 / 5  (When x = 1)

y = 12 / 5

y = 4 / 5 × 10 + 8 / 5  (When x = 10)

y = 48 / 5

Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.

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Answer:

Constant

Step-by-step explanation:

there numbers with no variables next to them and coefficient's do. :)

Answer:

constant

Step-by-step explanation:

Answer:

1) Jackson Heights population = 100,000

2) Elmhurst population = 64,000

Step-by-step explanation:

1) 80,000 x 1.25 = 100,000

2) 80,000/1.25 = 64,000

Answer:

The correct answer is 5.

Step-by-step explanation:

Answer:

If y varies directly as x, and x = 9 when y = 15, find y when

x = 33

Step-by-step explanation:

Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

Answer:

Equation: 3x-5=10

Answer: X=5

Step-by-step explanation:

3 times a number (represented as X) and 5 (means subtract by 5)

3x-5=10

Add 5 on both sides

3x=15

X=5

Answer:

3(5) - 5 = 10  

15 - 5 = 10  

10 = 10 x = 5

Step-by-step explanation:

Three times a number is 3x because you do not know the number.  

Add five to both sides of the equation.  

Divide both sides of the equation by 3 and the solution is x = 5

Answer:

Yes, all four-sided figures are parallelogram.

Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

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Answer:

3

Step-by-step explanation:

15 - 12 = 3

12 + 3 = 15

15 - 3 = 12

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.