A science test was given to boys and girls from three different schools. Rudolph, a junior researcher, wants to analyze the difference in the variability of the mean scores among the three schools. The appropriate statistical test would be the

Answer:

option 4

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a = [tex]\sqrt{1296}[/tex] = 36

Answer:

[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

Answer:

830 yd

Step-by-step explanation:

Theres a few ways you can do this but I'll show you one of the easeist way for solving this problem.

You can slipt this figure into 2 rectangles by just cutting the small rectangle out (the one thats kind of sticking out)

Then, all you have to do is find the area of both rectangles and add them together.

For the big rectangle : 20x40 = 800

For the little rectangle : 30x10 = 30

Add all togther:

800 + 30 = 830 yd

Hope this helps :)

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss

Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]

We then plug x back into the first equation to find y

[tex]y = 4(1) -7\\y = -3[/tex]

2)

[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]

Answer:

67 because it is closer to 67 than other options

Answer:

67 B

Step-by-step explanation:

Answer:

36 degrees

Step-by-step explanation:

well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

( first term + third term )/2 = second term

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

=================

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

Answer:

Step-by-step explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1)   where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24   <------- this is the required equation.

Answer:

Blank 1 : -2

Blank 2 : 24

Step-by-step explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

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Answer:

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

The total surface area of any given net of a rectangular prism = area of each rectangular face.

If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.

The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.

Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².

Learn more about the rectangular prism on:

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Answer:

400 boys

Step-by-step explanation:

First use the fraction along with the given information (240 girls)

If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80

80 multiplied by 5 = 400

There are 400 boys in the school. (640 total students in school)

Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8

Hope this helps :)

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

Answer: 34

Step-by-step explanation:

since the line is cut in half the sides equal

therefore

4x-7 = 2x+5

solve for x

4x = 2x + 12

2x = 12

x = 6

plug into either equation as they are both the same

4(6) - 7 = 17

if one half is 17 then the other half is 17

add the halves for the full line segment AT

AT = 17 + 17 = 34

Answer:

1st option, and 4th option

Step-by-step explanation:

Is it select one, or select all that are correct?

Answer: 6^5 = 6^3 * 6^2

When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Answer:

there are 20 centimeters in 0.2 meaters

Answer:

1 meter = 100 centimetres

0.2(meters) x 100(centimetres that make up 1 meter)

= 20 centimetres.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

Answer:

264

Step-by-step explanation:

(11 x 6)/2 x 8 = 264

B x h = V

I'll do problem 9 to get you started.

Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.

I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.

For triangle AOB, and any triangle really, the interior angles add to 180 degrees.

A+O+B = 180

x+y+x = 180

2x+y = 180

y = 180-2x

Then we can say

(angle AOB) + (angle AOP) = 180

y + z = 180

180-2x + z = 180

z = 180+2x - 180

z = 2x

The punchline here is that angle ABP doubles to angle AOP.

angle AOP = 2*(angle ABP)

You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.

-----------------------------

To wrap everything up for problem 9, we will combine the results we found for variables z and r.

angle AOC = z+r

angle AOC = 2x + 2m

angle AOC = 2(x+m)

angle AOC = 2*(angle ABC)

This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.

Answer:

y = 4

Step-by-step explanation:

Use slope intercpet form: y = mx + b

Answer:

I think 20 is the answer tho I might be wrong

Answer:

25

Step-by-step explanation:

Answer:

i did this on study island

Step-by-step explanation:

Answer:

isaiah must get a score of 115