what is the equation in slope intercept form for the line that passes through the points (-2,-1) and (1,5)

A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

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 $1 - \frac{\alpha}{2}$ .

And 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:

$M = 0.04, p = 0.35$

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

$0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.04\sqrt{n} = 0.93486$

$\sqrt{n} = 23.37$

$n = 546.2275$

At least 547 records need to be studied.

6 0

4 years ago

Please help!! This is so confusing! 100 points!!

masya89 [10]

Answer:

The value of the expression given is:

4

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2)
[(2^(-2))/(3^3)]^4
3^28

Now, we can solve each part one by one:

First part.

3^8 = 6561
2^(-5) = 0.03125
9^0 = 1 (Whatever number elevated to 0, its value is 1)
(6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688

Second part.

2^(-2) = 0.25
3^3 = 27
0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528

Third Part.

3^28 = 2.287679245 * 10^13 or 22876792450000

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

3 0

3 years ago

Read 2 more answers

Write an equation for the nth term of the geometric sequence -4, 8, -16...

monitta

Just keeping going with 16×-2=?×-2=?×-2 untill u get you your ninth nuber as well with tge 2 is a negative, so a a positive × a negative equal a negative and a negative × a negative equal

4 0

3 years ago

During halftime of a basketball game, a slingshot lunches t-shirts at the crowd. A T-shirt is launched from a height of 5 feet w

AfilCa [17]

Answer is 37 hope this helps

7 0

3 years ago

How do you solve this problem for me please

melomori [17]

He is not correct a parallelogram is the same thing as a rectangle with the same dimensions the area is 21 meters btw

6 0

3 years ago