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2 years ago

Find XY Please Help Picture Attched

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

8 0

First you'll need to understad what Perpendicular Bisector Theorem is:

The Perpendicular Bisector Theorem states that a point is on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment.

so X=45 degrees

and Y= 90 degrees

I'm not sure about X

but I hope this helps

From Kenny

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What is the midpoint of the segment shown below?

alex41 [277]

Answer:

B. (-9/2, -11/2)

Step-by-step explanation:

-12+3 / 2 = -9/2

-3+-8 / 2 = -11/2

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3 years ago

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

$\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237$

hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection = </em>

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

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3 years ago

How was sharecropping used to manipulate blacks in the south?

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Sharecropping is a type of farming in which families rent small plots of land from a landowner in return for a portion of their crop, to be given to the landowner at the end of each year. Different types of sharecropping have been practiced worldwide for centuries, but in the rural South, it was typically practiced by former slaves. With the southern economy in disarray after the abolition of slavery and the devastation of the Civil War, conflict arose during the Reconstruction era between many white landowners attempting to reestablish a labor force and freed blacks seeking economic independence and autonomy.

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3 years ago

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Blababa [14]

Answer:

4) divide, 5) multiply, 5) divide

Step-by-step explanation:

4) you need to divide to determine the length each individual ribbon will be

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3 years ago

Terry bought 5 pounds of strawberries for $15. Which equation can be used to find the cost per pound of strawberries,x?

Brums [2.3K]

Answer:

5x=15

Step-by-step explanation:

5pounds times the price per pound (x) equals $15

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3 years ago