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3 years ago

Complete the square to re-write the trinomial below in vertex form: x^2+2x+1

1 answer:

6 0

Ax²+bx+c
when a=1, then take 1/2 of b and square it and add something

x²+2x+1
2/2=1, 1²=1
x²+2x+1-1+1
(x+1)²-1+1
(x+1)²

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suppose your parents are helping you invest money for the future. they open an account for you in January with an initial deposi

alex41 [277]

X=year
y=$

y=200(1.003)^12x

3.6%->.036/12 (compounded monthly)

=0.003+1

y=200(1.003)^12(1) (1 year)

=$207.31999

BUT

200•12 ($200 deposited every month)

=$2400

2400+207.3199=

$2607.32

6 0

3 years ago

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The v

BigorU [14]

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

$p_{1}=\frac{30}{120}=0.25$

$p_{2}=\frac{32}{160}=0.2$

Second, calculate standard deviation for each proportion:

$\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395$

$\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316$

Now, we calculate standard error for difference:

$SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}$

$SE=\sqrt{0.0395^{2}+0.0316^{2}}$

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

$p_{1}-p_{2}$ ± z-score.SE

$0.25-0.2$ ± $1.645(0.0505)$

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = $-0.0332$

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is $[-0.0332,0.1332]$ .

8 0

3 years ago

Explain how you got 43+58+62+57+42=262

aev [14]

Answer:

If you take All of them and add them then you get 262 I dont really understand what your trying to say

6 0

2 years ago

I need Help please help with X - 7.6 = 18.2

nalin [4]

Answer:

x = 25.8

Step-by-step explanation:

Add 7.6 to each side, so it now looks like this: x = 25.8

I hope this helps!

8 0

3 years ago

For geometry:( will give brainist to the correct answer!!!

Strike441 [17]

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

5 0

3 years ago