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elixir [45]
3 years ago
10

Find the slope of the equation3x + 5y = 30

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0
The slope: 3/5
Y-intercept:-6
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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a
Helga [31]

Answer:

The sample size needed is 2401.

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 level of 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 of the interval is:

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

95% confidence level

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.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

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

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

n = 2401

The sample size needed is 2401.

7 0
3 years ago
Read 2 more answers
How does a digit in the 10,000s place compare to a digit in the thousands place?
Delvig [45]
While a digit in the thousands place has a value 1,000 times the value of the digit. So to compare you can do 10,000 / 1,000 = 10, which means that a digit in the ten thousand place values ten times what the same digit values is it is the thousand place.
4 0
3 years ago
Please solve these questions with the equations. Will give 80 points and mark brainliest to the person with the answers.
I am Lyosha [343]

1]

8(x-7)=128 \ \ /:8\\\\x-7=16 \ \ /+7\\\\\huge\boxed{x=23}

2]

16=2(x+7) \ \ /:2\\\\x+7=8 \ \ /-7\\\\\huge\boxed{x=1}

3]

\frac{7y}{7}=20\\\\\huge\boxed{y=20}

4]

2x-1=9 \ \ /+1\\\\2x=10 \ \ /:2\\\\\huge\boxed{x=5}

5]

2(x-8)=20 \ \ /:2\\\\x-8=10 \ \ /+8\\\\\huge\boxed{x=18}

5 0
2 years ago
A bicyclist goes 43.54 miles in 3.5 hours. What was her speed?
expeople1 [14]
All you have to do is divided 43.54 divided by 3.5 which is 12.44 mph
6 0
3 years ago
Plz help illl give you brainslist
Oksi-84 [34.3K]
1) 8
2) 14.5*2=29
3) 7x+5=2*13,     7x+5=26, 7x=21, x=3
4)d(1)=2r, 
if r increase 3 times, d(2)=2*(3r)
d(2)/d(1)=(2*3r)/2r=3,
so diameter increases 3 times

8 0
3 years ago
Read 2 more answers
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