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uysha [10]
2 years ago
7

What is the height of the ramp shown? (Measurements are in feet)

Mathematics
1 answer:
SOVA2 [1]2 years ago
7 0

Answer:

8.9 ft. (Option C)

Step-by-step explanation:

Here, we are given a right angled triangle. We are asked to find the value of perpendicular (y).

We'll be using pythagoras property.

According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.

Here,

  • Hypotenuse = 12 ft
  • Base = 8 ft
  • Perpendicular (y) = ?

→ H² = B² + P²

→ H² - B² = P²

→ (12 ft)² - (8 ft)² = y²

→ 144 ft² - 64 ft² = y²

→ 80 ft² = y²

→ √(80 ft²) = y

→ 8.94427191 ft = y

→ <u>8.9</u><u> </u><u>ft</u><u> = y</u>

\therefore <u>Value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>9</u><u>.</u><u> </u><u>(</u><u>Option </u><u>c</u><u>)</u>

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A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
3 years ago
-p + 4p = 6 prob the last one for now i think
Irina-Kira [14]

Answer:

p = 2

Step-by-step explanation:

First, simplify:

3p = 6

Then, divide 3 on both sides:

p = 2

Hope this helps ^^

8 0
3 years ago
Read 2 more answers
What is the solution to the equation?c/35=3/7
MaRussiya [10]

Answer:C=15

Step-by-step explanation:

Just do math

7 0
3 years ago
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Select the correct answer.
nordsb [41]

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

4x + 6y = 36

Required

Select the true options

(a)\ (9,0)\ and\ (0,6)

This implies that"

(x_1,y_1)= (9,0)

(x_2,y_2)= (0,6)

So, we have: (x_1,y_1)= (9,0)

4x + 6y = 36

4 * 9 + 6 * 0 = 36 + 0 = 36

So, we have: (x_2,y_2)= (0,6)

4 * 0 + 6 * 6 = 0 + 36 = 36

<em>Hence (a) is true.</em>

3 0
2 years ago
What is the answer to the question?
Naily [24]
It is 1/3, add up the total number of kids, which is 30, the number of kids 6-8 is 10. 10/30 is equivalent to 1/3
5 0
3 years ago
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