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jek_recluse [69]

3 years ago

6

I don't get this problem

1 answer:

MatroZZZ [7]3 years ago

5 0

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Find the vertex of y=-x^2+6x-12

Debora [2.8K]

You find the x coordinates using x = -b/2a = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)

8 0

3 years ago

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

Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:

svp [43]

Answer:

Option B. $w=5h-8$

Step-by-step explanation:

we have

$h=(\frac{1}{5})w+(\frac{8}{5})$

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

$5h=w+8$

subtract 8 both sides

$5h-8=w+8-8$

$5h-8=w$

Rewrite

$w=5h-8$

4 0

3 years ago

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The

FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

$x$ is the number of hours that Liam volunteered in the first month

The next month he volunteered $1\dfrac{2}{3}$ times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

$x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15$

Time he volunteered in the first month is 15 hours.

3 0

3 years ago

Factories and other industrial users account for about 23/50 of the total water usage in the United States. Which of the followi

mihalych1998 [28]

23 / 50 = 0.46

0.46 converted to a percent is 46%

6 0

3 years ago