Given:
Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.
Consider his last month sales is 38,000.
To find:
The total commission.
Solution:
4% commission on the first 10,000 of monthly sales is

Sales over 10,000 is

10% commission on all sales over 10,000 is

Now, the total commission is

Therefore, the total commission is 3,200.
Answer:
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Step-by-step explanation:
Given that;
mean x" = 5.4
standard deviation σ = 0.7
n = 6
Null hypothesis H₀ : μ = 5.0
Alternative hypothesis H₁ : μ > 5.0
∝ = 0.025
now,
t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4
degree of freedom df = n-1 = 6 - 1 = 5
T critical = 2.571
Therefore; t < T critical,
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Answer:
Yes
Step-by-step explanation:
If you add 87.84, 85, and 100 you get 272.84. Once you divide that by 3 you get 90.946, which would be your test average if you score 100 on your next test.
Answer:
P=143
Step-by-step explanation:
So, we know that P and Q are supplementary angles. In other words:

We also know that P is 5 less than 4 times Q. Thus:

Substitute the second equation into the first:

Find Q. Combine like terms:

Add 5 to both sides:

Divide both sides by 5:

So, Q is 37 degrees.
Q and P are supplementary, which means that P is 180-37 or 143 degrees.
And we're done!