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Sedbober [7]
3 years ago
12

Someone please please help me with this math problem I’m really bad at graphs

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0

Answer:

y + 2 =  - (x - 4)

Step-by-step explanation:

The graph passes through: (0,2) and (2,0)

The slope is

\frac{0 - 2}{2 - 0}  =  - 1

The equation of the line in point-slope form is given by:

y-y_1=m(x-x_1)

The graph passes through (4,-2).

We substitute the slope and this point to get:

y -  - 2 =  - 1(x - 4)

y + 2 =  - (x - 4)

The first option is correct

VikaD [51]3 years ago
3 0
The answer is A, I hope my work really helpful

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4 : 8

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Surface area help plz
lana [24]

Answer:

486 mm

Step-by-step explanation:

solve each side on it's own first

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2 rectangle: 144 mm

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288 mm + 144 mm + 54 mm = 486 mm

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3 years ago
HELP PLEASE!!!!!! Find x and y so the quadrilateral is a parallelogram.
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8 0
3 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
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