Answer:
$1200
Step-by-step explanation:
3/4 of 1600 is 1200
Answer:
or 
Step-by-step explanation:
The given absolute value inequality is 
Divide both sides of the inequality by -2 and reverse the inequality sign:

By the definition of the absolute value function;
Either
or 
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or 
Hello,
(f-g)(x)=3x²+1-1+x=3x²+x
(f-g)(2)=3*2²+2=3*4+2=14
Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Answer:
Step-by-step explanation:
The two smaller angles add up to the measure of the total angle, so
(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°
8x + 46° = 70°
8x = 24°
x = 3°
There is no actual question shown, but I imagine you want one or more of the following:
x = 3°
∠ABC = 3(3°) + 33° = 9°+ 33° = 42°
∠CBD = 5(3°) + 13° = 15° + 13° = 28°
Hope this helps.