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3 years ago

PLEEAASSEE HELP!!!!!!!

Mathematics

1 answer:

IceJOKER [234]3 years ago

7 0

Answer would be the third option.

Area of a triangle is half of the base times the height. A=(b·h)/2

In the third option the height is 8 ft. and base is 6 ft. which when multiplied together gets you 48. Half of that is 24.

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Solve for t. 5(t + 3)= -3.5

sattari [20]

Answer:

Step-by-step explanation:

5(t+3)=-3.5

distribute

5t+15=-3.5

subtract 15 from both sides

5t= -18.5

divide both sides by 5

t=-3.7

5 0

2 years ago

A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl

dusya [7]

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

$\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3$

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

$H_0 :$ The quarterly growth rate in the number of contracts is not significantly different from 0% (? = 0.05)

$H_a:$ The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

4 0

3 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only

Nadusha1986 [10]

Answer:

The sample size required is, n = 502.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}$

The margin of error is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of z for 97.5% confidence level is:

z = 2.24

Compute the sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}$

$=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502$

Thus, the sample size required is, n = 502.

4 0

3 years ago

F(x)=5x-2 find the slope of f

Inessa [10]

Answer:

Slope = 5

Step-by-step explanation:

Standard slope intercept form: y = mx + b

where m = slope of the function

so m = 5

Hope this helps!

7 0

3 years ago

14. Let g represent Gupta's age. You can solve the equation 2g - 5+ g = 31 to find g. Which property would not be used in solvin

True [87]

Answer:

B. Commutative Property of Addition

Explanation:

To find out the property that would not be used in solving this equation, we solve for g.

$\begin{gathered} 2g-5+g=31 \\ 3g-5=31 \\ \text{Add 5 to both sides} \\ 3g-5+5=31+5 \\ 3g=36 \\ \text{Divide both sides by 3} \\ \frac{3g}{3}=\frac{36}{3} \\ g=12 \end{gathered}$

We have applied the following:

A. Addition Property of Equality/D. Subtraction Property of Equality

C. Division Property of Equality

Therefore, the property that would not be used is:

B. Commutative Property of Addition

8 0

1 year ago