There would be five white flowers and three yellow flowers in every vase. (additional info) Meaning there will be 6 vases.
Answer:
m<A =15, m<B=89, m<C=76
Step-by-step explanation:
A = x
B = 44 + 3x
C = x+61
44 + 3x + x + x + 61 = 180
(you get 5x because you're adding the additional actual value of A to the equation)
now you gotta mush this together
5x + 105 = 180
and now subtract
5x = 75
then divide
x = 15
Great! we found the value of angle A!
now lets plug this in for x in the formulas up top!
B = 44 + 3(15)
B = 44 + 45
B = 89
Yayyyy we're almost done!
C = (15) + 61
C = 76
That's it! that's the value of each angle!
you can check your work by adding the three numbers together to get 180
so lets see
15 + 89 + 76 =
drum roll please
.
.
.
.
180!!
We did it!
2L + 2W = 48
L= 15 feet
substitute the given value to the formula provided.
2(15) + 2W = 48
multiply 2 by 15
30 + 2W = 48
use the subtraction property of equality to cancel the value 30 on the left side.
30 - 30 + 2W = 48 - 30
cancel 30 on the left side leaving 2W while subtract 30 from 48.
2W = 18
divide both sides to get the value of the width.
2W/2 = 18/2
W = 9ft this is the final answer.
Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Step-by-step explanation:
Problems of normally distributed samples 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, we have that:

What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So



has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours