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3 years ago

5

Which of the following are measurements for triangles that are similar to a triangle with sides measuring 6, 8, and 12? Check al

l that apply.
A. 3, 4, and 6
B. 2, 3, and 4
C. 18, 24, and 36
D. 4.8, 6.4, and 9.6
E. 14.4, 20.8, and 36

1 answer:

kirza4 [7]3 years ago

7 0

For two triangles to be similar the sides need to have the same ratio.

A and C are the correct answers.

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A recent health report revealed that a woman with insurance spends an average of 2.3 days in the hospital following a routine ch

cupoosta [38]

Answer:

$t=\frac{2.3-1.9}{\sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}}=2.385$

$p_v =2*P(t_{30}>2.385)=0.0236$

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis

The confidence interval would be given by:

$(2.3 -1.9) - 2.75*\sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}=-0.0611$

$(2.3 -1.9) + 2.75* \sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}=0.861$

Step-by-step explanation:

Data given and notation

$\bar X_{insurance}=2.3$ represent the mean for insurance

$\bar X_{No. ins}=1.9$ represent the mean withour insurance

$s_{Insurance}=0.6$ represent the sample standard deviation for the insurance case

$s_{No. Ins}=0.3$ represent the sample standard deviation for the No insurance case

$n_{Insurance}=16$ sample size for insurance

$n_{No. Iss}=16$ sample size for no insurance

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis: $\mu_{Insu}=\mu_{No. Ins}$

Alternative hypothesis: $\mu_{Ins} \neq \mu_{No. Ins}$

Since we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$t=\frac{\bar X_{Ins}-\bar X_{No.Ins}}{\sqrt{\frac{s^2_{Ins}}{n_{Ins}}+\frac{s^2_{No. Ins}}{n_{No. Ins}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{2.3-1.9}{\sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}}=2.385$

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

$df = n_{ins} +n_{No Ins}-2=16+16-2 =30$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{30}>2.385)=0.0236$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis

The confidence interval would be given by:

$(2.3 -1.9) - 2.75*\sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}=-0.0611$

$(2.3 -1.9) + 2.75* \sqrt{\frac{0.6^2}{16}+\frac{0.3^2}{16}}}=0.861$

6 0

3 years ago

Given the functions f and g, explain why you cannot find f⋅g.

Delvig [45]

We can't write the product because there is no common input in the tables of g(x) and f(x).

<h3>Why you cannot find the product between the two functions?</h3>

If two functions f(x) and g(x) are known, then the product between the functions is straightforward.

g(x)*f(x)

Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.

For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:

(g*f)(a) = f(a)*g(a) = b*c

Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.

If you want to learn more about product between functions:

brainly.com/question/4854699

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The figure below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of the figure? A. 7776

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I think it might be B. 48 due to the fact 18 • 48 = 864. I think it would be easier to figure out if there was a picture to go with it. Don’t take my word for it though. Sorry.

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Anni [7]

Answer:

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Step-by-step explanation:

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Answer:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

Step-by-step explanation:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

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