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attashe74 [19]
3 years ago
11

X + 3y = 15 -8x + 3y = -12

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer: x=3,y=4

Step-by-step explanation:

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
3 years ago
William has a pair of identical number cubes. the faces of each cube are numbered 1 through 6. william will roll the cubes one t
Angelina_Jolie [31]
The chances will be : 3 and 6 and 4 and 5
The probability of getting a sum of 9 would be 2/9
5 0
3 years ago
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An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
Nadya [2.5K]

Answer:

Yes.

Step-by-step explanation:

You are correct except to the nearest hundredth it is 795.54 cm^2.

7 0
3 years ago
Zen deposited some money in a savings account. The graph below shows the value of Zen's investment y, in dollars, after x months
kifflom [539]

The y-intercept of 1000 in the graph is at the point where x is equal to 0.

At x=0, it means no month have passed. It is the initial point where Zen deposited the money.

What is the amount (y axis)? 1000!

So y represents the initial deposit of Zen, which is 1000.


ANSWER: Answer choice D (Amount of money Zen deposited in the savings account)

6 0
3 years ago
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John mows 247 square feet of lawn per minute. how many square yards of lawn does he mow per hour?
Black_prince [1.1K]
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour. 
6 0
4 years ago
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