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3 years ago

I need help on this and please show work

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

8. Since A F is perpendicular to J K, you know angles J A F and K A F are congruent (both are right angles). Since A F bisects J K, you know the lengths of J A and K A are the same. Side A F is incident to both triangles, and of course the lengths A F = A F. So we have two side-angle-side triangles, and by the SAS postulate we have triangles J F K and K F A congruent to one another.

9. Yes. The corresponding sides in both triangles have the same lengths. (S K to K F; S J to F J; J K to itself) The claim then follows from the SSS postulate.

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Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation o

neonofarm [45]

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

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2 years ago

A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o

igomit [66]

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).

p+1

Thus, the slope of this line is m = rise / run = -------- = 9

Then p + 1 = 36, and p = 35.

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2 years ago

A projectile is launched upward from a height of 704 feet with an initial velocity of 112 ft/s. The equation gives the height h

Feliz [49]

We are given the data ho equal to 704 feet and vo equal to 112 feet per second. We apply then kinematics equation: h = ho + vot - 1/2 gt2. Substituting to the given equation,
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3 years ago

What is 1/2 multiplied by 1/2? What is 1/2 added by 1/2?

satela [25.4K]

Answer:
1/4 & 1

Solution:
1/2 * 1/2 = (1*1)/(2*2)

1/2 + 1/2 = (1+1)/(2) = 2/2 = 1

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2 years ago

Read 2 more answers

Write .008% as a decimal

lions [1.4K]

0.008%=0.008/100=0.00008

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3 years ago