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kotykmax [81]
2 years ago
11

The figure shows three quadrilaterals on a coordinate grid:

Mathematics
1 answer:
melamori03 [73]2 years ago
3 0

Answer:

(a)  A and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

 A and B are similar, but not congruent.

Please give Brainliest if possible

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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
6
IgorC [24]

Answer:

12 less than or equal to 2

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line that passes through the points(7,-9) and (15,-29)?
Alex Ar [27]
(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
3 0
2 years ago
Evaluate the expression when x = 4 and y=-5.<br> -5y+x
Maru [420]

Answer:

29

Step-by-step explanation:

<u>Step 1:  Set x to 4 and set y to -5</u>

<u />-5y + x

-5(-5) + (4)

25 + 4

29

Answer:  29

8 0
3 years ago
Read 2 more answers
This quiz has 9 questions with 4 options for each question. If a student chooses answers randomly, what is the probability that
Ket [755]

Answer:

Bsjwkwkwkkenenrnrnrbtbbtbfbfnrntnt rnrnrkkrjrjr

Step-by-step explanation:

bdbrbrbr

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2 years ago
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