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Roman55 [17]
3 years ago
12

Sarah has $20 saved. If she will save her allowance for the next 3 weeks, and she gets $10 per week for her allowance. At the en

d of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?Which of the following sets of equations represents this problem?
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0
The answer is $200 the equation is 20+10(3)+150
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Y=3x+2 and x+2y=11 how do you solve these linear equations by using substitution
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Plug in y=3x+2 into the y in the second equation.

x + 2(3x+2) = 11
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y = 3(1) + 2
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The length of a rectangular room is 2 feet longer than twice the width. if the room's perimeter is 196 feet, what are the room's
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4 years ago
Researchers are interested in determining whether more men than women prefer Coca Cola to Pepsi. In a random sample of 300 men,
kobusy [5.1K]

Answer: 0.17 ± 0.096

Step-by-step explanation:

Confidence interval for difference between the population proportion :

p_1-p_2\pm z^*\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

, where p_1 = sample proportion for population 1.

 p_2 = sample proportion for population 2.

n_1 = Sample size from population 1.

n_2 = Sample size from population 1.

As per given , we have

Population

p_1=0.65\ \ \& \ \ p_2=0.48

n_1=300\ \ \ \&\ \ n_2=400

Critical z-value for 99% confidence level is z*=2.576  [By z-table]

Now , the 99% confidence interval estimate for the difference between the percentages of men and women who prefer Coca Cola over Pepsi :

(0.65-0.48)\pm (2.576)\sqrt{\dfrac{(0.65)(1-0.65)}{300}+\dfrac{(0.48)(1-0.48)}{400}}\\\\= 0.17\pm(2.576)\sqrt{0.0007583+0.000624}\\\\=0.17\pm(2.576)\sqrt{0.0013823}\\\\=0.17\pm(2.576)(0.03718)\\\\=0.17\pm0.09577568\\\\\approx0.17\pm0.096\

Hence, the correct answer is 0.17 ± 0.096.

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<span>C. 2* (3 + 5)^2 = 128 is the correct answer.


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