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OverLord2011 [107]

3 years ago

13

(7m^2+ 3m-4)-(3m^2+9m-5)

1 answer:

maxonik [38]3 years ago

7 0

<span>(7m^2+ 3m-4)-(3m^2+9m-5)
=</span><span>7m^2 + 3m - 4 - 3m^2 - 9m + 5
= 4m^2 - 6m + 1 </span>

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Salaries of 49 college graduates who took a statistics course in college have a mean, x overbar, of $ 65 comma 300. Assuming a

Molodets [167]

Answer: $60,540< \mu$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu$

, where $\sigma$ = Population standard deviation.

n= sample size

$\overline{x}$ = Sample mean

z* = Critical z-value .

Given : $\sigma=\$17,000$

n= 49

$\overline{x}= \$65,300$

Two-tailed critical value for 95% confidence interval = $z^*=1.960$

Then, the 95% confidence interval would be :-

$65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu$

$=65,300-(1.96)\dfrac{17000}{7}< \mu$

$=65,300-4760< \mu$

$=60,540< \mu$

Hence, the 95% confidence interval for estimating the population mean $(\mu)$ :

$60,540< \mu$

7 0

3 years ago

Write p(x) = 21 + 24x + 6x2 in vertex form.

Helen [10]

To do this, complete the square:

p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as

6(x^2 + 4x)

then you have </span><span>p(x) = 6(x2 + 4x ) + 21

Now complete the square of x^2 + 4x:

p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21

p(x) = 6(x+2)^2 - 3 this is in vertex form now.

We can read off the coordinates of the vertex from this: (-2, -3)</span>

8 0

3 years ago

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5

swat32

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $y=-\dfrac{2}{3}x+5\to _1=-\dfrac{2}{3}$

Therefore

$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line: $y=\dfrac{3}{2}x+b$ .

Put the coordinates of the point (8, 1) to the equation of a line:

$1=\dfrac{3}{2}(8)+b$

$1=(3)(4)+b$

$1=12+b$ <em>subtract 11 from both sides</em>

$-11=b\to b=-11$

Answer: $\boxed{y=\dfrac{3}{2}x-11}$

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4 years ago

What is the common ratio between successive terms in the sequence?

kobusy [5.1K]

The common ratio is 0.8

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3 years ago

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Can someone please help me with this

Svetlanka [38]

It is 52 that’s the answer

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3 years ago