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OLEGan [10]
2 years ago
10

K/5.6+ 41.5 = 10.8 The solution is k=​

Mathematics
2 answers:
Contact [7]2 years ago
4 0

Answer: The solution is k = -171.92.

Reika [66]2 years ago
3 0

Answer:

k = - 171.92

Step-by-step explanation:

\frac{k}{5.6} + 41.5 = 10.8 ( subtract 41.5 from both sides )

\frac{k}{5.6} = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92

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The chairlift at a ski resort has a vertical rise of 3200 feet. if the length of the ride is 1.2 miles, what is the average angl
Aleksandr-060686 [28]
(see attached graphic)
1.2 miles = 6,336 feet

IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees

IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees





6 0
3 years ago
Question 3(Multiple Choice Worth 2 points) (13.02 LC) What unit of measurement would you use to measure the length of your foot?
labwork [276]

Answer: centimeter

Step-by-step explanation:

5 0
2 years ago
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
A sporting goods store pays $180 for a rubber raft. The percent of markup is 40%. Find the raft’s selling price. $108 $450 $252
jok3333 [9.3K]
The correct answer would be $252
6 0
3 years ago
Read 2 more answers
Which graph shows the correct representation of {x | x ≤ 5}?
Andrew [12]

Answer:

third choice

Step-by-step explanation:

That would be the third one. It has to be a closed circle because it includes the sign, ≤ meaning that it also has the number 5 included. The numbers that go to the left of 5 are smaller, too.

3 0
3 years ago
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