Answer: 21
Step-by-step explanation:
Ok so first of all the numbers in the parentheses go first.
So 6 to the power of 2 (6^2) would be 6x6 which equals 36
50-36=14
After that you just keep rewriting the problem after every step.
Since the 3 is outside of the parentheses, you would multiply it with the 14
3x14=42
Finally 42÷ 2=21
3x (50 - 6^2) ÷ 2 =
3(14)÷ 2
42÷ 2= <u><em>21</em></u>
<u><em></em></u>
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<u><em>Hope this helps (:</em></u>
<u><em>Btw sorry if it's a bit confusing but the answer is 21</em></u>
The mistake is P-21=34
It should be p+21=34
P=34-21
P=13
Answer:
She should offer a guarantee of 6.24 years.
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 problem, we have that:
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
This is the value of X when Z has a pvalue of 0.03. So it is X when Z = -1.88. So
She should offer a guarantee of 6.24 years.
Answer:
The number of skateboards of each color is 11 and 4
Step-by-step explanation:
Let x represent blue skateboards and
y represent red skateboards.
From the question, the total number of skateboards is 15, that is,
x + y = 15 ...... (1)
and their product is 44, that is,
xy = 44 ...... (2)
From equation (1),
x + y = 15
We can write that
x = 15 - y ...... (3)
Substitute this into equation (2)
xy = 44
(15-y)y = 44
15y -y² = 44
Then,
y² - 15y + 44 = 0
Solve quadratically
y² -4y -11y + 44 = 0
y(y-4) -11(y-4) = 0
(y-11)(y-4) = 0
y-11 = 0 OR y-4 = 0
y = 11 OR y = 4
Put the values of y into equation (3) for x
x = 15 - y
When y = 11
x = 15 - 11
x = 4
and when y = 4
x = 15 -4
x = 11
(4,11) and (11,4)
It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.
Hence, the number of skateboards of each color is 11 and 4.
