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Karo-lina-s [1.5K]
3 years ago
11

An employee earns a 25% commission rate on his sales. One day, he earned $175.

Mathematics
2 answers:
Anettt [7]3 years ago
7 0
If he earned $175 from his commission that’s means he had to have sold a total of $700 since 25% is 1/4 of 100%.
Papessa [141]3 years ago
6 0

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

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Can someone please help me
svet-max [94.6K]

Answer:

12

Step-by-step explanation:

You look at the graph seeing before the 20, that one has 4 and rhe other has 8. Add 8 and 4 to get 12.

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3 years ago
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Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
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What is the domain of the following parabola? (5 points)
tigry1 [53]

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers."  The function is defined for all x.  

4 0
3 years ago
Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of tria
VladimirAG [237]
Hello,

Let's assume a,b,c the 3 sides of the triangle.

a=9
b=10
c=24-a-b=5

p= \dfrac{a+b+c}{2} =12\\

S= \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*3*2*7} = \sqrt{504} =22,4499...\approx{22}
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3 years ago
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Which geometric series converges ???
ki77a [65]

Answer:

C

Step-by-step explanation:

A geometric series will only converge if - 1 < r < 1

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The nth term formula for a geometric series is

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where a is the first term and r the common ratio

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3 years ago
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