Jen spent $35 at the mall and now has $76 left. How much money did Jen have before she went shopping? Construct an equation to r
2 answers:
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<h3><u>Explanation</u></h3>
- First Method
We have the given slope value and the coordinate point that the graph passes through.
where m = slope and b = y-intercept. Substitute the value of slope in the equation.
We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.
<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>
The value of b is 6. We substitute the value of b in the equation.
- Second Method
We can also use the Point-Slope form to solve the question.
Given the y1 and x1 = the coordinate point value.
Substitute the slope and coordinate point value in the point slope form.
<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>
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There's only one step to solve this problem (that's if you're looking for it)
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Answer:
The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).
Step-by-step explanation:
We want to calculate the bounds of a 95% confidence interval of the difference between proportions.
For a 95% CI, the critical value for z is z=1.96.
The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.
The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.
The difference between proportions is (p1-p2)=-0.058.
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, the margin of error is:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the difference between proportions is (-0.102, -0.014).