Answer:
72°
Step-by-step explanation:
Let the 2 equal angles be x then the third angle is x + 18
The sum of the 3 angles in a triangle = 180°, thus
x + x + x + 18 = 180, that is
3x + 18 = 180 ( subtract 18 from both sides )
3x = 162 ( divide both sides by 3 )
x = 54
Hence
the largest angle = x + 18 = 54 + 18 = 72°
Answer:
200
Step-by-step explanation:
150/3=50 so she sorts 50 items per minute, then 50*4=200
After you plug in d and C you will end up with 40 after you solve if you just need the equation it will be -2-4-3+17+32 to simplify further add like terms which will give you -9+49 add those and it’ll be 40
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

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.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that 
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.



has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Answer:
<h2>x = 4.1 cm</h2>
Step-by-step explanation:
Use the Pythagorean theorem:

We have

Substitute:

<em>subtract 60.84 from both sides</em>
