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AfilCa [17]
4 years ago
7

Find the area of the polygons

Mathematics
2 answers:
LUCKY_DIMON [66]4 years ago
8 0
Hey,
Please see attached for explanations.
1. 962. 1213. 1264. 965. 142.56. 1357. Area: {120} Perimeter: {60}8. Area: {336} Perimeter: {112}

Cheers,
Izzy

NeX [460]4 years ago
4 0
Hello!

1.

The area of a rectangle is lenth * width

So 16 * 6 = 96
------------------------------------------------------------------------------------------------------
2.

The area of a square is a side^2

So 11^2 = 121
------------------------------------------------------------------------------------------------------
3.

The area of a parallelogram is base * height

So 14 * 9 = 126
------------------------------------------------------------------------------------------------------
4.

It is a parallelogram again

So 12 * 8 = 96
------------------------------------------------------------------------------------------------------
5.

The area of a triangle is \frac{h * b}{2}

h is height and b is base


15 * 19 = 285

285/2 = 142.5
------------------------------------------------------------------------------------------------------
for number 6 I do not remember how to do that sorry

Hope this helps!<span />
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About 13​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randomly​
Molodets [167]

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1.69% probability both are nervous around strangers.

24.31% probability at least one is nervous around strangers.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are nervous around strangers, or they are not. The people are chosen randomly, which means that the probability of a person being nervous around strangers is independent from other people. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

About 13​% of the population of a large country is nervous around strangers.

This means that p = 0.13.

Two people are randomly​ selected

This means that n = 2.

What is the probability both are nervous around strangers?

This is P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.13)^{2}.(0.87)^{0} = 0.0169

1.69% probability both are nervous around strangers.

What is the probability at least one is nervous around strangersnervous around strangers?

This is P(X \geq 1)

P(X \geq 1) = P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{2,1}.(0.13)^{1}.(0.87)^{1} = 0.2262

P(X = 2) = C_{2,2}.(0.13)^{2}.(0.87)^{0} = 0.0169

P(X \geq 1) = P(X = 1) + P(X = 2) = 0.2262 + 0.0169 = 0.2431

24.31% probability at least one is nervous around strangers.

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Remember that the point-slope form of a line is:

y-k=m(x-h)

For a line with slope m and that passes through point (h,k)

Now, let's work on the line we're given. SInce the x-intercept is 6, we know that the line passes through (6,0).

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Now, using point (5,3) we can get the following point-slope form for the line:

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