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quester [9]
3 years ago
12

Which equation does the graph below represent?

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0

Answer:

y = ½x

Step-by-step explanation:

Using (4,2) and (0,0)

y-intercept is 0

Slope: (2-0)/(4-0)

2/4 = 1/2

y = ½x + 0

y = ½x

Thepotemich [5.8K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Choose any point and put it into one of the choices of equations. Let's just do (4, 2):

A) y = 2x  ⇒  2 =? 2 * 4  ⇒  2 ≠ 8   ---   eliminate

B) y =1/2x  ⇒  2 =? 4 * (1/2)  ⇒  2 = 2   ---   correct; keep it

C) y = 1/2 + x  ⇒  2 =? 1/2 + 4  ⇒  2 ≠ 4.5   ---   eliminate

D) y = 2 + x  ⇒  2 =? 2 + 4  ⇒  2 ≠ 6   ---   eliminate

Thus, B is the correct answer.

Hope this helps!

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janie has 196 rock and country cd's that she listens to at home if there are 76 more rock cd's than country cds how many of each
marshall27 [118]
There are 60 Country CDs and 136 Rock CDs.

Rock and country CDs = 196

Country CD = x
Rock CD = x + 76

Country CD + Rock CD = 196
x + (x + 76) = 196
2x = 196 - 76
2x = 120
2x / 2 = 120 / 2
x = 60   * number of Country CD

Rock CD = x + 76 = 60 + 76 = 136 

To check:
Country + Rock = 196
60 + 136 = 196
196 = 196

4 0
3 years ago
Solve for x.<br> 21)<br> 60°<br> 8x<br> 80°
Elden [556K]

Answer:

x = 5

Step-by-step explanation:

Sum of angles = 180, so

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140 + 8x = 180

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7 0
3 years ago
Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find
Aleks04 [339]

<u>Given</u>:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

A=\frac{1}{2} bh

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

A=\frac{1}{2}(8)(6)

A=\frac{1}{2}(48)

A=24

Thus, the area of the triangle is 24 square units.

<u>Volume of the pyramid:</u>

The volume of the pyramid can be determined using the formula,

V=\frac{1}{3}AH

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

V=\frac{1}{3}(24)(12)

V=\frac{1}{3}(288)

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Thus, the volume of the pyramid is 96 cubic units.

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A major DVD rental chain is considering opening a new store in an area that currently does not have any such stores. The chain w
Mariana [72]
<h2>Answer with explanation:</h2>

Let p be the population proportion .

Then, p=\dfrac{5000}{20000}=0.25

According to the given information, we have

a)\ \text{Null hypothesis }H_0: p=0.25\\\\b)\ \text{Alternative hypothesis} H_a: p\neq0.25, since alternative hypothesis is two-tailed , so the hypothesis test is a two-tail test.

Since sample size is large (n> 30), we use z-test.

Let us consider 95% confidence i.e.\alpha=0.05.

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Sample proportion : \hat{p}=\dfrac{96}{300}=0.32

d) Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

i.e. z=\dfrac{0.32-0.25}{\sqrt{\dfrac{0.25(0.75)}{300}}}=2.8

e) P-value (for two-tail) : 2(Pz>2.8)=0.0051103

f) P-value is the probability value that we have falsely rejected the null hypothesis.

g) Since observed z-value (2.8) does not lie in critical interval (-1.96, 1.96), it means the null hypothesis is rejected.

7 0
3 years ago
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