a dress store is having a sale where all merchandise is 1/4 off. a women buys $54 of merchandise at the sale price what would sh
1 answer:
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Answer:
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles. Remember that <em>equil</em>ateral sounds like equal.
The interior angles of a triangle must equal 180 degrees.
- All 3 angles are the same.
- 180/3= 60
- All 3 angles in an equilateral triangle equal 60 degrees.
The question tells us the angle is equal to (4x-20).
- ∠= 60°
- ∠= (4x-20)°
So, by substitution, we can set 60 and (4x-20) equal to each other.
Now, solve for x by isolating the variable on one side of the equation.
20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.
x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.
x is equal to 20 and choice 1 is correct.
Answer:
Critical value: b. 2.33
As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample 1 (women), of size n1=150 has a proportion of p1=0.62.
The sample 2 (men), of size n2=200 has a proportion of p2=0.24.
The difference between proportions is (p1-p2)=0.38.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
The critical value for a right-tailed test with a signficance level of 0.01 is zc=2.33 (see picture attached).
As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.
