Help me please just give the correct answer!

Help! please I need the answer now !!

Sergeeva-Olga [200]

Answer:

(- 5, 0 ), (7, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 108 ), thus

y = a(x - 1)² - 108

To find a substitute (0, - 105 ) into the equation

- 105 = a(- 1)² - 108 ( add 108 to both sides )

3 = a

y = 3(x - 1)² - 108 ← equation in vertex form

To find the x- intercepts, let y = 0, that is

3(x - 1)² - 108 = 0 ( add 108 to both sides )

3(x - 1)² = 108 ( divide both sides by 3 )

(x - 1)² = 36 ( take the square root of both sides )

x - 1 = ± $\sqrt{36}$ = ± 6 ( add 1 to both sides )

x = 1 ± 6, so

x = 1 - 6 = - 5

x = 1 + 6 = 7

x- intercepts are (- 5, 0), (7, 0)

6 0

4 years ago

Read 2 more answers

We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

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 $1-\alpha$ , we have the confidence interval with a margin of error of:

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

So

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

4 years ago

The explicit rule for a sequence is given.

LenaWriter [7]

Answer:

$a_{1}$ = 1/2

$a_{n}$ = $a_{n-1}$ * $\frac{4}{3}$

Step-by-step explanation:

plug 1 into $a_{n}$ =1/2(4/3)^n−1 to find $a_{1}$

=1/2(4/3)^1−1

$a_{1}$ = 1/2 (4/3)^0

$a_{1}$ = 1/2 * 1

$a_{1}$ = 1/2

$a_{n}$ = $a_{n-1}$ * r where r is the ratio

since (4/3) is being taken to an exponent, (4/3) is r

$a_{n}$ = $a_{n-1}$ * $\frac{4}{3}$

3 0

3 years ago

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A male elephant weighs 6,549 pounds. A female elephant weighs 5,701 pounds. To the nearest

GrogVix [38]

Answer:

12200

Step-by-step explanation:

6549 plus 5701 equals 12250 but to nearest 100 12200

4 0

3 years ago

Read 2 more answers

Can someone please calculate the length ?

masya89 [10]

<h3>Answer: 11/20</h3>

=====================================================

Work Shown:

x = unknown horizontal length

1/5 = 0.2

Perimeter = 2*(width + length)

P = 2*(0.2 + x)

P = 0.4 + 2x

Set this equal to the given perimeter of 1 & 1/2 = 1.5 and solve for x

0.4 + 2x = 1.5

2x = 1.5-0.4

2x = 1.1

x = (1.1)/2

x = 0.55

x = 55/100

x = (5*11)/(5*20)

x = 11/20

5 0

3 years ago