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2 years ago

P;lease helpppp 35 pnts!!!!

Mathematics

1 answer:

MAXImum [283]2 years ago

5 0

Answer:

The length of BE is 5.5 units.(A correct option)

Step-by-step explanation:

Given diameter AC intersects chord BD at point E such that AE = 2.5 units and DE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. we have to find the approximate length of BE.

CE=CO+OE=5+(OA-AE)=5+2.5=7.5 units.

Now, by Intersecting Chord Theorem which states that when two chords intersect each other inside a circle then the products of their segments are equal.

⇒ $CE\times AE=BE\times DE$

⇒ $7.5\times 2.5=BE\times 3.4$

⇒ $BE=\frac{7.5\times 2.5}{3.4}=5.5147\sim5.5units$

Hence, the length of BE is 5.5 units.

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What is the solution to -10 x w = -50?<br> A. w = 10<br> B. w = 5<br> C. w = -5<br> D. w = -10

ZanzabumX [31]

The solution to the given equation is w = -5

<h3>Solving of expression</h3>

What is an Algebraic Expression? An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations

Given the expression below as shown;

-10w = 50

Divide both sides by -10

-10w/-10 = 50/-10

w = -5

Hence the solution to the given equation is w = -5

Learn more on equation and expression here: brainly.com/question/22048677
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1 year ago

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sineoko [7]

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2 years ago

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If the filling equipment is functioning properly what is the probability that the volume of oil in a randomly selected barrel wi

Sophie [7]

Answer:

$P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)$

$P(Z>0.8)=1-P(Z\leq 0.8)$

$P(Z>0.8)=1-0.788=0.212$

Step-by-step explanation:

Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly, the actual volume of oil loaded into each barrel by the filling equipment at the port is approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5 gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:

$X \sim N(55,0.5)$