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scoray [572]
3 years ago
11

The athletic department at Hornell High School would like to determine the average height of the 1200 male students at the schoo

l.
Select from the following survey methods that would allow the department to draw valid conclusions about the average height of the male students at Hornell High School.
A
Measure the height of every male student at Hornell High School and take an arithmetic average to determine the height.
B
Measure the height of every student on the men's basketball team at Hornell High School and take the arithmetic average.
C
Measure the height of every student on the men's football and men's volleyball teams at Hornell High School and take the arithmetic average.
D
Assign unique student ids to all 1200 male students at Hornell High School. Use a computer program to randomly select 120 male students at Hornel High School, measure their heights and take the arithmetic average.
Mathematics
1 answer:
krok68 [10]3 years ago
3 0
D; It would be D because picking and choosing from different sports teams doesn’t make it data. Choosing random students would make it more diverse for the height
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mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the
juin [17]

The <em><u>correct answer</u></em> is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards.  The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

2x+4y=54 (because they are ordering 54 tires).

This makes our system

\left \{ {{x+y=21} \atop {2x+4y=54}} \right.

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations.  We will make x the same, and we will do this by multiplying the first equation by 2:

\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right.  \\&#10;\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.

Now we will subtract the second equation from the first one:

\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right.  \\&#10;\\-2y=-12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards.  Substituting this into the first equation,

x+6 = 21

Subtract 6 from each side:

x+6-6 = 21-6

x = 15

There were 15 bicycles.

3 0
3 years ago
A new shirt for Samantha has a price of $99.75. Since there is no PST on children's clothes, the only tax she has to pay is 5% G
sleet_krkn [62]

Answer:

Samantha needs to pay $5 for the GST.

Step-by-step explanation:

In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:

$99.75→100%

     x    ←  5%

x=(99.75*5)/100= 5

According to this, the answer is that Samantha needs to pay $5 for the GST.

5 0
3 years ago
What is the equation of the line which includes points (0,3) and (4,5)
laila [671]

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

4 0
3 years ago
Need help with this math question
olga_2 [115]

The correlation coefficient is -0.87; strong correlation

<h3>How to determine the correlation coefficient?</h3>

The given parameters are:

x = Time spent working out

y = lbs Overweight

Next, we enter the table of values in a graphing tool.

From the graphing tool, we have the following summary:

<u>X Values</u>

  • ∑ = 27.1
  • Mean = 2.71
  • ∑(X - Mx)2 = SSx = 22.569

<u>Y Values</u>

  • ∑ = 89
  • Mean = 8.9
  • ∑(Y - My)2 = SSy = 778.9

<u>X and Y Combined</u>

  • N = 10
  • ∑(X - Mx)(Y - My) = -114.19

<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -114.19 / √((22.569)(778.9))

r = -0.8613

Approximate

r = -0.87

This means that the correlation coefficient is -0.87

Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

6 0
2 years ago
PLEASE HELP ME ANSWER! im so desperate bro !!
sergey [27]

a)13

b) skewed

c) IQR

d)Sam's observation is correct

e)6.17

Step-by-step explanation:

Step 1 :

From the histogram we can infer that

0 to 2 texts has been sent by 1 student

2 to 4 texts has been sent by 3 student

4 to 6 texts has been sent by 4 student

6 to 8 texts has been sent by 4 student

8 to 10 texts has been sent by 5 student

Step 2:

a)

From step 1 , we can see that there are total of 17 students represented by the histogram

Step 3:

b)

This is a skewed histogram because we have all large values of students on the right of the histogram and smaller values on the left of the histogram.

In symmetrical histogram, there would be large values on the center and the smaller values on both sides.

Step 4:

c)

IQR would be better recommendation for this as this is a skewed histogram

Standard deviation would be recommended for a symmetrical histogram

Step 5:

d)

Total number of students is 17

Number of students who text between 8 to 10 messages is 5

Hence the students who text between 8 and 10 messages is 5/17

which is nearly 1/3 rd of the total students.

Hence Sam's observation is correct

Step 6:

e)

Mean amount of the texts = (1 * 3 + 3* 3 + 5*4 +7*4 + 9* 5) /17 = 6.17

6 0
3 years ago
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