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2 years ago

If anyone’s good with geometry, help me out please. I would really appreciate it.

Mathematics

1 answer:

lakkis [162]2 years ago

5 0

Answer: X=2, PR=40

Step-by-step explanation:

given that the two triangles are equal/congruent

------------------------

solve for x

10x+5=25

10x=20

x=2

--------------------

solve for y

33=7y-2

35=7y

y=5

------------------

solve for PR

PR=8y

PR=8(5)

PR=40

Hope this helps!! :)

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Solve for m and b <br><br>(5,14) and (3,10)

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Y=mx+b

Y1-Y2/X1-X2

14-10/5-3 = 4/2 = 2

Plug in (3,10):
(10)=2(3)+b

Solve:
10=6+b

B=4
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2 years ago

the lengths of the sides of a triangle are consecutive odd integers.if the perimeter of the triangle is 27 what is are the lengt

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2 years ago

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(02.01)Which translation will change figure ABC to figure A'B'C'?

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Answer:

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Step-by-step explanation:

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2 years ago

consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev

Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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 $1-0.025 = 0.975$ , so $z = 1.96$

Now, find 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.

$M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03$

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

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3 years ago

A recent survey found that 70% of all adults over 50 wear

lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that 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 combinatios 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.

In this problem we have that:

$n = 10, p = 0.7$

What is the probability that at least six wear glasses?

$P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497$

There is an 84.97% probability that at least six wear glasses.

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3 years ago