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Dafna11 [192]
3 years ago
11

You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

The roller coaster is an illustration of a right triangle

  • The equation needed to solve the horizontal distance is h^2 =30^2 -25^2
  • The horizontal distance is 16.58 feet

<h3>How to determine the equation</h3>

The height is given as: 25 feet.

From the complete question, the length of the roller coaster is 30 feet.

Represent the horizontal distance with h.

Given that the roller coaster represents the hypotenuse side length, the following equation can be used to find h

30^2 = h^2 + 25^2

Collect like terms

h^2 =30^2 -25^2

<h3>The horizontal distance</h3>

In (a), we have:

h^2 =30^2 -25^2

This gives

h^2 =275

Take the roots of both sides

h =16.58

Hence, the horizontal distance is 16.58 feet

Read more about right triangles at:

brainly.com/question/2437195

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Step-by-step explanation:

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3 years ago
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3 years ago
The answer to this question asap please
Mkey [24]

At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the​ state's eighth graders on this exam is more than 280.

<h3>How to state hypothesis conclusion?</h3>

We are given;

Sample size; n = 78

population standard deviation σ = 37

Sample Mean; x' = 280

Population mean; μ = 287

The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;

Null hypothesis; H₀: μ > 280

Alternative hypothesis; Hₐ: μ < 280

This is a one tail test with significance level of α  = 0.13

From online tables, the critical value at α  = 0.13 is z(c) = -1.13

b) Formula for the test statistic is;

z = (x-  μ)/(σ/√n)

z = ((280 - 287) *√78 )/37

z = -1.67

c) From online p-value from z-score calculator, we have;

P[ z > 280 ] =  0.048

d) The value for z = -1.67  is smaller than the critical value mentioned in problem statement z(c) = - 1.13  , the z(s) is in the rejection zone. Therefore we reject H₀

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Read more about Hypothesis Conclusion at; brainly.com/question/15980493

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2 years ago
9. Find P(rolling 1 or 5) with one number cube.
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Answer:

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P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

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