Answer:
s < 8
Step-by-step explanation:
7−s/2>3
Subtract 7 from each side
7-7−s/2>3-7
-s/2 > -4
Multiply each side by -2. Remember to flip the inequality since we are multiplying by a negative.
-s/2 * -2 < -4*-2
s < 8
1. M(x)=12x, with domain x < or =30, x a natural number {1,2,3,...30}
2. T(y)=12*30+15y
T(y)=360+15y is the function which gives the wage after 30 hours of regular time and y of overtime.
3. T(y)=510
360+15y=510
15y=510-360=150
y=10 hours of overtime (and 30 of regular time.
It should be 10 inch x 14 inch if it is 2x larger
Answer:
Probability = 0.0228
Step-by-step explanation:
Let X be a random variable which is a measure of the time to get a passenger on board.
Mean(u) = 22.5mins
Standard deviation (s) = 5.25mins
X = 33mins
From Pr(X>33), starting from Pr(X = 33)
For normal distribution, Z = 7(X - u) /s
Z= (33 -22.5) /5.25
= 10.5/5.25
= 2
From the normal distribution table, 2 = 0.4772
Recall that
If Z is positive,
Pr(x>a) = 0.5 - table value
Pr(x<a) = 0.5 + table value
Therefore;
Pr(X>33) = 0.5 - 04772
= 0.0228
First, let's expand the right side. Now our equation is

Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:

And then we can make this

We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08