Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that

Divide boths ides by 3 , we get

Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
<em>Answer,</em>
C. 1650
<em>Explanation,</em>
<em>495/6 = 82.5</em>
<em>82.5 x 20 = </em><em>1650</em>
<u><em>Hope this helps :-)</em></u>
Let's find a.
We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.
90 + a = 180
a = 90°
Let's find b.
By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.
Let's find c.
Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.
163 + b = 180
c = 27°
Let's find d.
Using the angle that measures 70°, we can solve it like we did with a and c.
70 + d = 180
d = 110°
Let's find e.
Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.
110 + e = 180
e = 70°
Best of Luck!
in proper form a repeating decimal is written with a repeating bar above the very last number after after the decimal from the renths place and down to the right
Answer:
y = -2x
Step-by-step explanation:
For direct variation: y = kx, where k is the constant of proportionality.
Given that Y equals -12 when x equals 6, we have -12 = k(6). Solve this for k by dividing both sides by 6:
k = -12/6 => k = -2
Then the "direct variation equation" here is y = -2x.