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3 years ago

What is the measure of ∠x

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer:

∠x = 63°

Step-by-step explanation:

The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:

128 + x = 180

x = 52

∠BAC = 52°

The angles in a triangle all add up to 180°, so we can set up another equation to find x:

52 + 65 + x = 180

117 + x = 180

∠x = 63°

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13.5 because 4.5 times 3 is 13.5

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2 years ago

Please help me with precal

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2 years ago

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2 years ago

Simplify the expression below. 2x - 10 + 6x

PtichkaEL [24]

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2 years ago

Read 2 more answers

A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco

sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

Let p = proportion of all cars in San Francisco who are blue

SO, Null Hypothesis, $H_0$ : p = 25% {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 600 cars in San Francisco who are blue = $\frac{141}{600}$ = 0.235

n = sample of cars = 600

So, test statistics = $\frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }$

= -0.866

Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

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3 years ago