187.69 because 3003.04 divided by 16 is 187.69
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
explain more for me to understand better pls
Answer:
99.38%
Step-by-step explanation:
We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64
They ask us for P (x <126)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (126 - 124) / (6.4 / (64 ^ 1/2))
z = 2.5
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <2.5) = 0.9938
The probability is 99.38%
Answer:
D
Step-by-step explanation:
The range of a graph is the span of y-values it covers.
From the graph, we can see that the span of y-values covered goes from y=-3 all the way to y=3.
However, note that at y=-3, while it is a closed circle, it is an open circle at y=3.
This means that we do <em>not</em> include y=3 in our range, but we <em>do</em> include y=-3 in our range.
So, our range is all values between -3 and 3 including -3.
In set notation, this is (and remember since this is the range, to use y):

So, our answer is D.
And we're done!