From the graph shown, what is an approximate solution of the system of equations?

Vitek1552 [10]

I'd say angle A = angle B
arc tangent (angle B) = 150 / 555
arc tangent (angle B) = 0.2702702703 
angle B = 15.124 degrees

By the way 555 feet is the height of the Washington Monument.

3 0

3 years ago

paula spent 3/8 of her allowance on clothes and 1/6 on entertainment. what fraction of her allowance did she spend on other item

MArishka [77]

We have to calculate the fraction of Paula`s allowance that she spent on other items if she already had spent 3/8 on clothes and 1/6 on entertainment. First we have to add: 3 / 8 + 1 / 6 = ( LCD is 24 ) = 9 / 24 + 4 / 24 = 13 / 24. Then : 1 - 13 / 24 = 24 / 24 - 13 / 24 = 11 / 24. Answer: She has spent 11 / 24 of her allowance on other items.

3 0

3 years ago

PLS HELP ME SOLVE THE PROBLEM PLS!

lilavasa [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

The cost to mail a first-class letter used to be $0.40 the first ounce. Each additional ounce costs $0.20. Fractions of an ounce

Hitman42 [59]

$1.00 because the first ounce is 0.40 then you have to times the other 3 ounce by 0.20 then u would have $1.00

7 0

2 years ago

g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib

algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .