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Darina [25.2K]
3 years ago
8

What is the y-intercept of the function f(x)=4 - 5x? -5 -4 4 5

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

4

Step-by-step explanation: Its  4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

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17%

Step-by-step explanation:

12,750/75,000=0.17

Which means it's 17%

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Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority
Andre45 [30]

Answer:

The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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}.

For this problem, we have that:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that n = 4000 and \pi = \frac{2250}{4000} = 0.5625

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 - 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5471

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 + 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5779

The 95% confidence interval of  the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

8 0
3 years ago
A line passes through (1, 1), (-2, 4), and (6, n). Find the value of n.
34kurt

Hello! Charchar here!

Answer:  

Ans: n = -4

Step-by-step explanation:

General equation of the Line that passes through the 2 points

A(1, 1) and B(-2, 4) --> y = ax + b.

A(1, 1) --> 1 = a + b (1) --> b = 1 - a

B(-2, 4) --> 4 = -2a + b (2).

4 = -2a + 1 - a --> -3a = 3 --> a = -1 --> b = 1 -(01) = 2

Equation of the line AB -->  y = − x + 2

Write that the line AB passes through C (6, n):

n = - 6 + 2 = -4

graph{-x + 2 [-10, 10, -5, 5]}

Hope this helped!

Have a nice day!

3 0
3 years ago
Read 2 more answers
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