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3 years ago

Melissa collected the data in the table.

Mathematics

2 answers:

Naily [24]3 years ago

7 0

A residual is the difference between the actual value and the predicted value. If there is a scatter plot with a line of best fit, the residual would be the vertical distance between the actual point and the line of best fit.

For our question, the table already gives the "given" and "predicted" values. Hence, the residual is the different between the "given" and "predicted" values.

If you look at the first three rows, you will see that residual = given - predicted.

So, when $x=4$ , residual = $9-10=-1$ . Answer choice B is correct one.

ANSWER: B

sweet-ann [11.9K]3 years ago

4 0

When x=4 b) -1 (9-10=-1)

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Minchanka [31]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : $H_0 : \mu \geq50000$

Alternative hypothesis : $H_a : \mu$

Since $H_a$ is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$s$ =sample standard deviation

For $n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800$ , we have

$z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23$

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0

3 years ago

19. Find the value of X (In the picture) (giving points to best answer/brainlest)

Tema [17]

Answer:

x = 61 degrees

Step-by-step explanation:

The triangle on the right is isosceles and the base angles are congruent

the sum of the inner angles of a triangle is 180 degrees

2 * 74 + y = 180

148 + y = 180

y = 32 degrees