Answer:
m∠R = 39 degrees
Step-by-step explanation:
As complementary angles add up to 90 degrees, we can set up an equation to get x then find the measure of ∠R:
m∠R + m∠S = 90
2x+7+4x-13=90
6x+7-13=90
6x-6=90
6x=96
x=16
Since m∠R = (2x+7), 2x+7 would be 2(16)+7 or 39 degrees. So in conclusion, m∠R = 39 degrees
Answer:
0.62% probability that randomly chosen salary exceeds $40,000
Step-by-step explanation:
Problems of normally distributed distributions are solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
What is the probability that randomly chosen salary exceeds $40,000
This is 1 subtracted by the pvalue of Z when X = 40000. So
has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.62% probability that randomly chosen salary exceeds $40,000
a) The only factor with zeros is 400, which has 2 of them. Since the least-significant non-zero digits are not 2 or 5, the product 193×4 will not have any trailing zeros. Consequently, the product 193×400 = 77,200 will have 2 zeros.
b) Same reasoning, except with 3 zeros. 193×4000 = 772,000
c) The product of anything and zero is zero. There will be 1 zero in the product 193×400×0 = 0.
_____
If you like, you can factor out the trailing zeros:
... 193×400 = 193×4×100 = (193×4)×100 = 772×100
You can also use scientific notation to keep track of the trailing zeros. Here, the numbers end in 5 and an even number, so result in additional trailing zeros when multiplied.
... 192×500 = 192×5×10² = 960×10² = 96×10¹×10² = 96×10³ = 96000
Answer:
-14m - 18
Step-by-step explanation:
Hi there!
To find the answer, we will first have to merge the expressions.
-18m - 4 + 4m - 14
To simplify this, we have to combine like terms.
-18m and 4m can be added together to create -14m
-4 and -14 can be added together to make -18.
Now that our terms are simplified, the expression becomes -14m - 18.
Hope this helped!