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lakkis [162]
3 years ago
9

The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the

rectangle? Round your answer to the nearest tenth. 15 7 X​
Mathematics
1 answer:
Andrews [41]3 years ago
6 0
Answer should be 13.3
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The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
Should it be facing left or right ?
riadik2000 [5.3K]

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

3 0
3 years ago
Use function g, shown in the graph below.
Katyanochek1 [597]
You should search it up on Photomath is easier
5 0
3 years ago
Read 2 more answers
Which angles are supplementary to each other?
user100 [1]

Answer:

Angles 2 and 3 are supplementary to each other

Step-by-step explanation:

A supplementary angle is 2 angles that when you add the sum is 180.

4 0
3 years ago
Express the decimal as a percent. 0.053
velikii [3]

Hey this is very easy to learn! So to express a decimal as a percent all we have to do is multiply it by 100. So multiplying .053 by 100 would just mean moving the decimal point 2 spaces to the right.

So the answer would be 5.3%

I hope this helps!

-Ayden

8 0
3 years ago
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