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stealth61 [152]
3 years ago
13

The question is in the image! Please help if u can its due really soon

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

Angle STR = 78°

Step-by-step explanation:

So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:

20x + 12 + 10x + 33 = 180

Combine like terms

30x + 45 = 180

Subtract 45 from both sides

30x = 135

Divide both sides by 30

x = 4.5

Now we know the value of x. We just need to plug it into angle STR's given value:

10(4.5) + 33 = angle STR

45 + 33 = angle STR

78° = angle STR

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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:

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

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

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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.

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P-value=P(t

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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.

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