Answer:
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Step-by-step explanation:
We shall need to formulate the hypotheses but first we need to understand the claim in context of this question. The claim is that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. In mathematical notation, this claim can be written as follows;
σ = 15
Clearly the claim contains an equality sign and thus it qualifies to be our null hypothesis;
H0: σ = 15
The complement of the above hypothesis will be our alternative hypothesis;
Ha: σ ≠ 15
We are then informed that the initial conclusion of the test fails to reject the null hypothesis. In short this implies that we fail to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds since this claim is our null hypothesis. If we fail to reject a claim in hypothesis testing, this implies that there is sufficient evidence to support the claim. Therefore, there is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Step-by-step explanation:
12,500.
Step-by-step explanation:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
\text{Option A earnings}=40\times 25=1000Option A earnings=40×25=1000
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
\frac{8}{100}x=1000
100
8
x=1000
0.08 x=10000.08x=1000
x=\frac{1000}{0.08}x=
0.08
1000
x=12500x=12500
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.
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Answer:
2. Given
4. SAS postulate
Step-by-step explanation:
Reason 2: Statement 2 is one of the Given statements.
Reason 4: You have shown that two sides and the angle between them are congruent. The Side-Angle-Side (SAS) congruence postulate applies.