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strojnjashka [21]

3 years ago

12

A cone has a diameter of 6 cm and a height of 11.5 cm. Find the volume. Round your answer to the nearest 10th if necessary. Use

3.14 for pie.

1 answer:

uysha [10]3 years ago

5 0

V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded

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The triangles below are similar.

andre [41]

Answer:

AAA (angle-angle-angle) similarity theorem

Step-by-step explanation:

The two given triangles PSR and XYZ, are similar.

And all their angles are also similar.

We can conclude, that both are similar based on AAA similarity theorem.

The AAA (angle-angle-angle) similarity theorem states that two triangles have their corresponding angles equal, if and only if their corresponding sides are proportional.

XZ is proportional to SR. XY is proportional to SP and YZ is proportional to PR.

8 0

3 years ago

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The wolverines scored 42 points in a football game they scored 2 more field goals (3 points each) than touchdowns 6 points each

Free_Kalibri [48]

Answer:

6 touchdowns

Step-by-step explanation:

You just subtract the (2*3) from the 42 and get 36 than you divide by 6.

7 0

3 years ago

Rewrite the function by completing the square.<br> f(x) = x2 – 10x + 44<br> +<br> f(x) = (x+

iVinArrow [24]

Answer:

$f(x)=(x-5)^{2}+19$

Step-by-step explanation:

we have

$f(x)=x^{2}-10x+44$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-44=x^{2}-10x$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)-44+25=x^{2}-10x+25$

$f(x)-19=x^{2}-10x+25$

Rewrite as perfect squares

$f(x)-19=(x-5)^{2}$

$f(x)=(x-5)^{2}+19$

8 0

4 years ago

What is 100 percent of 158

Nikolay [14]

Answer:

158

Step-by-step explanation:

100% * 158

1.00 * 158

3 0

3 years ago

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Not Answered Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal f

ehidna [41]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

$p_v =2*P(Z>2.688)= 0.0072$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=410$ represent the number of people indicating that their financial security was more than fair in 2012

$X_{2}=315$ represent the number of people indicating that their financial security was more than fair in 2010

$n_{1}=1000$ sample 1 selected

$n_{2}=900$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of people indicating that their financial security was more than fair in 2012

$p_{2}=\frac{315}{900}=0.350$ represent the proportion estimated of people indicating that their financial security was more than fair in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Part a: Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

Hypothesis testing

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+315}{1000+900}=0.382$

z-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 statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>2.688)= 0.0072$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

3 0

4 years ago