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baherus [9]
2 years ago
9

A 100-foot zip line is attached to a platform. The other end of the zip line is attached to the ground 96 feet from the base of

the
platform. The zip line forms a right triangle as shown.
100 ft
96 ft
"not drawn to scale
What is the height, x, of the platform?
Mathematics
1 answer:
sveta [45]2 years ago
6 0

Answer:

28 feet

Step-by-step explanation:

Draw a right triangle.  Label the height X.

Hypotenuse= 100; Base = 96.

Use pythagorean theorem to solve for x.

x^2 + 96^2 = 100^2

x^2+9216 = 10000

x^2= 784

x = 28 feet

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5.16 Identify hypotheses, Part II: Write the null and alternative hypotheses in words and then symbols for each of the following
goblinko [34]

Answer:

<em>H</em>₀: <em>µ</em> = 1100 vs. <em>Hₐ</em>: <em>µ</em> ≠ 1100.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

In this case the hypothesis can be defined as follows:

Null hypothesis:

<em>H</em>₀: The average calorie intake of a diner at this restaurant is 1100, i.e. <em>µ</em> = 1100.

Alternate hypothesis:

<em>Hₐ</em>: The average calorie intake of a diner at this restaurant is different from 1100, i.e. <em>µ</em> ≠ 1100.

4 0
3 years ago
A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the
yKpoI14uk [10]

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

4 0
3 years ago
1. A baseball player got a hit 19 times in his last 64 times at bat.
fiasKO [112]

A) Probability =0.297

B)In 200 times he can hit 59 times !

<u>Step-by-step explanation:</u>

Here we have , A baseball player got a hit 19 times in his last 64 times at bat. We need to find the following :

a. What is the experimental probability that the player gets a hit in an at bat?

According to question ,

Favorable outcomes = 19

Total outcomes = 64

Probability = (Favorable outcomes)/(Total outcomes) i.e.

⇒ Probability = \frac{19}{64}

⇒ Probability =0.297

b. If the player comes up to bat 200 times in a season, about how many hits is he likely to get?​

According to question , In 64 times he hit 19 times . In 1 time there's probability to hit 0.297 times! So ,In 200 times he can hit :

⇒ Hit =0.297(200)

⇒ Hit = 59.36

Therefore , In 200 times he can hit 59 times !

4 0
3 years ago
F(x) = 2x g(x) = x + 5 h(X) = 3x - 7 What is the correct set up for h(f(x))?? *
Usimov [2.4K]

Answer:

<h2>b</h2><h2 />

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What must you invest today to receive an annuity of $4,500 for 10 years compounded at 8% quarterly when all withdrawals will be
OlgaM077 [116]

Answer:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?

Step-by-step explanation:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?

6 0
2 years ago
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