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3 years ago

PLZ HELP ME 50 POINTS

Mathematics

2 answers:

Strike441 [17]3 years ago

7 0

1) perpendicular
2) parallel
3)perpendicular

jeka57 [31]3 years ago

3 0

1) Because they have opposite reciprocal slopes it is perpendicular
2) They have the same slope so they are parallel
3) They have opposite reciprocal slopes so they are perpendicular

Hope this helps!

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Read 2 more answers

If MH = 18cm and HA = 29cm, what is MA?

Murrr4er [49]

Answer:

<h2>The leg MA measures 22.7 centimeters.</h2>

Step-by-step explanation:

Assuming that's about a right triangle, the image attached shows a representation of this problem.

We use the Pythagorean Theorem to find the missing leg, which we are gonna call $y$

$29^{2} =18^{2}+y^{2}\\y^{2}=29^{2}-18^{2}\\y=\sqrt{841 - 324} \approx 22.7 \ cm$

Therefore, the leg MA measures 22.7 centimeters.

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3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa

melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

We need a sample size of at least n.

n is found when M = 3. We have that $\sigma = 18$ .

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

$3 = 1.645*\frac{18}{\sqrt{n}}$

$3\sqrt{n} = 1.645*18$

Simplifying by 3

$\sqrt{n} = 1.645*6$

$(\sqrt{n})^{2} = (1.645*6)^{2}$

$n = 97.41$

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

8 0

3 years ago