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3 years ago

Multiply and simplify (4p +2) (6p-3) show work

1 answer:

6 0

Answer is 24p^2 - 6
you get this because you are suppose to use foil
4p x 6p
4p x -3
2 x 6p
2 x -3
when u do all that you get
24p^2 - 12p + 12p -6
combine like terms you get 24p^2 - 6

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If the lengths of two sides of a triangle are 3 and 12, which could be the length of the third side?

Ierofanga [76]

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

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3 years ago

5.5 ÷ .25 and plz show work

IceJOKER [234]

Question

5.5 ÷ .25 and plz show work

Answer:

Step-by-step explanation:

5.5 : 0.25 =

55 : 2.5 =

550 : 25 =

4 0

3 years ago

Lowest common multiple of 3240 and 1007

xeze [42]

Answer:

3,262,680

Step-by-step explanation:

Hope this helps!

4 0

2 years ago

A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

arsen [322]

Answer:

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=35-1=34$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that $t_{\alpha/2}=2.032$

Now we have everything in order to replace into formula (1):

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

3 0

4 years ago

Determine the scale factor of the function f(x)=3/x

svlad2 [7]

A scale factor is a number which scales, or multiplies, some quantity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor.

Given a function
$f(x)=\frac{3}{x}$
which is formed from the parent function
$f(x)=\frac{1}{x}$

The function
 $f(x)=\frac{3}{x}$
was obtained from the parent function by multiplying the parent function by 3.

Therefore, the scale factor of the function $f(x)=\frac{3}{x}$ is 3.

6 0

4 years ago