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3 years ago

Please help Show workings!

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

Answer:

LM = 57

Step-by-step explanation:

For each median (JN, ML and KP), the distance from a vertex to the centroid is twice the distance from the centroid to the midpoint of the side opposite that vertex.

In that case, LQ = 2QM

If LQ = 38 then QM = 19

38 + 19 = 57

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162.50 if this represented a 6.5% increase what is her monthly salary after the raise

Anon25 [30]

9514 1404 393

Answer:

2662.50

Step-by-step explanation:

Let s represent her old salary. Then we have ...

0.065s = 162.50

s = 162.50/0.065 = 2500

Then her new monthly salary is ...

new salary = old salary + raise

new salary = 2500 +162.50

new salary = 2662.50

6 0

3 years ago

How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati

marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$z = 1.96, \sigma = 40, M = 6$

Hence we solve for n to find the needed sample size.

$M = z\frac{\sigma}{\sqrt{n}}$

$6 = 1.96\frac{40}{\sqrt{n}}$

$6\sqrt{n} = 40 \times 1.96$

$\sqrt{n} = \frac{40 \times 1.96}{6}$

$(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2$

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0

2 years ago

although she's only on middle school, Tamiya loves to drive Go-Karts her favorite place to go drive Go-Karts, Drivers Delight, h

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Circumference = r * 2 * pi

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6 0

3 years ago

Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?

grigory [225]

Option B: $6x^2-10x+19$ is the correct answer

Step-by-step explanation:

Given functions are:

$f(x) = 3x^2-5x+13\\g(x) = 2x-7$

We have to find g(f(x))

So,

$g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19$

Hence,

Option B: $6x^2-10x+19$ is the correct answer

Keywords: Functions, Composition

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

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3 years ago