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3 months ago

Choose the function whose graph is given by:

Mathematics

2 answers:

AnnZ [12.3K]3 months ago

7 0

answer: B

The highest value of sin(x) is 1, therefore options A and C can be disregarded.

For the option, try inserting some known values of cos(x) to sketch the graph.

AnnZ [12.3K]3 months ago

4 0

I think the answer might be either C or B.-.

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Which graph shows a function whose inverse is also a function? On a coordinate plane, two curved graphs are shown. f (x) sharply

AnnZ [12381]

The Answer is A. Step-by-step explanation: I just completed the quiz on edgenuity.

6 0

2 months ago

The Multiplication Rule says that P(A and B) = P(A) × P(B). What must be true about events A and B for this rule to apply?

Svet_ta [12734]

Response:

Events A and B exhibit independence.

Detailed explanation:

We are provided with

The multiplication principle applicable to events A and B

$P(A\cap B)=P(A)\times P(B)$

A correct assertion regarding events A and B is necessary for this principle to hold.

It is understood that for two events A and B to be independent

Consequently, the probability

$P(A\cap B)=P(A)\cdot P(B)$

Thus, the correct assertion concerning events A and B for the application of this principle is stated as

Events A and B are independent.

7 0

2 months ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

PIT_PIT [12445]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=1503\\\\H_a:\mu< 1503$

b) Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.

Step-by-step breakdown:

This is a statistical test for the average population mean.

The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.

Accordingly, the null and alternative hypotheses are:

$H_0: \mu=1503\\\\H_a:\mu< 1503$

The significance level is set at 0.05.

The sample size is n=25.

The sample mean equates to M=1425.

A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:

$d=M-\mu=1425-1503=-78$

Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.

The estimated standard error of the mean is determined with the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{160}{\sqrt{25}}=32$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1425-1503}{32}=\dfrac{-78}{32}=-2.438$

The degrees of freedom for this sample size stand at:

$df=n-1=25-1=24$

This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):

$\text{P-value}=P(t$

As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.

Thus, the null hypothesis obtains dismissal.

At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.

8 0

2 months ago