6(5r-11)-(5-r)}6(5r−11)−(5−r)

Stephen is making a map of his neighborhood. He knows the following information

Kitty [74]

The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.

The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).

In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.

15/9 = 10/HB
HB = 90/15
HB = 6 blocks.

To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.

3 0

3 years ago

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Determine the maximum number of zeros of the polynomial function -8x^4-x^2+2 a. 1 c. 3 b. 4 d. 2 Please select the best answer f

alexgriva [62]

Generally speaking, the number of solutions to an algebraic equation is equal to the exponent of the highest power. so the answer is b.4

6 0

3 years ago

Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has mean and standard deviation given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

2 years ago

He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

There are 3 main types of income one can generate. They are termed as the earned income, the passive income and the capital gains income. Earned income is the compensation you get from working or offering a service. Passive income is the type of income you generate from what you own or your assets. Lastly, Capital gains income, also called "portfolio income", is the money generated from selling investments at a much higher price. Padraig have two type of income here. He had earned income by receiving the $80000 salary and he had capital gains income for selling stocks for $5000.

3 0

3 years ago

Prove that the shape below is a rectangle.

Ulleksa [173]

Answer:

HG = EF

GF = HE

Step-by-step explanation:

5 0

3 years ago

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