A=5 b=6 c=40° solve for the triangle

iren2701 [21]

To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.

4 0

3 years ago

13 and 4/87 to the nearest half

Arte-miy333 [17]

Answer:

13

Step-by-step explanation:

4/87 is around 0.046

13+0.046=13.046

13.046 to the nearest half is 13

3 0

3 years ago

Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income

Sauron [17]

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

$\mu = 225 - 240 = -15$

Sean's standard deviation is of 25, Evan's of 15. So

$\sigma = \sqrt{25^2+15^2} = 29.15$

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - (-15)}{29.15}$

$Z = 0.51$

$Z = 0.51$ has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

5 0

3 years ago

How many distinguishable 5-letter combinations are possible of the letters of the word TIGHT?

Anton [14]

Answer:

A. 40 combinations

we have 8 x 5 = 40

Step-by-step explanation:

Would be 60 as 3 letter words with 5 letters.

The logic is that all letters are being used to their maximum and with numbers 3 within 5 or 5 within 5 the maximum that cna be used is 12 rotation for 3 per letter or 8 rotaion for 5. Then we have 5 rotations = 60 for 3 and 40 for 5. Another logic is the many combinations can you make from the numbers 1 2 3 4 5 not multiplying?

The rearrangement of 5 figure numbers will be 5x4x3x2x1 which is 120 combinations, when you don't repeat a number.

We see that 4+3 +2+1 = 10 and shows less than 5 number combinations at 120, and then we have 5

5:10 ratio = 5/15 = 1/3

This = 1/3 of 120 =40

Then we find answer is 40 as compact 5 letter words from the word tight.

6 0

4 years ago

Read 2 more answers

Determine the slope of a line that is parrallel to the equation 3x + 6y =18

Stolb23 [73]

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