Step-by-step explanation:
12a+24a=180
36a = 180
a =5 °
angle of yzv = 24a = 120°
<u>4</u> = <u>x
</u> 18 90
(4 * 90) / 18 = 20
<u>
</u> x = 20 So Angie can run 20 miles in 90 minutes!<u>
</u>
Answer:
80/3 or 26 2/3
Step-by-step explanation:
-2 + y = 9 (subtract y from both sides)
-2 = 9 - y (subtract 9 from both sides)
-2 - 9 = y (multiply both sides by -1)
2 + 9 = y (simplify)
11 = y (substitute)
3x - 7 (11) = 3 (multiply)
3x - 77 = 3 (subtract 3 from both sides)
3x - 80 = 0 (subtract 3x from both sides)
-80 = -3x (multiply both sides by -1)
80 = 3x (divide both sides by 3)
80/3 = x (simplify if needed)
26 2/3 = x
30 + 1x = 18 + 5x
subtract 18 from both sides
30 - 18 + 1x = 18 - 18 + 5x
12 + 1x = 5x
subtract 1x from both sides
12 + 1x - 1x = 5x - 1x
12 = 4x
To clear the multiplication by 4, divide both sides by 4
12/4 = 4x/4
3 = x
It will take 3 months until they have the same amount of CD's
They will each have 33 CD's
Answer:
And if we replace we got:
So we expect about 0.8 defective computes in a batch of 4 selected.
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
Solution to the problem
For this case we have the following distribution given:
X 0 1 2 3 4
P(X) 0.4096 0.4096 0.1536 0.0256 0.0016
And we satisfy that 
and 
so we have a probability distribution. And we can find the expected value with the following formula:
And if we replace we got:
So we expect about 0.8 defective computes in a batch of 4 selected.
