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Klio2033 [76]
3 years ago
9

Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive bra

inliest (50 pts)

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

EB = 10

Step-by-step explanation:

For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:

CE * ED = AE * EB

(This is applied specifically to this problem)

We can substitute the values given,

5 * (x - 4) = 3 * x

simplify,

5x - 20 = 3x

and solve.

2x - 20 = 0

2x = 20

x = 10

Since the value of EB is x, EB = 10.

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 (6 pts) The average age of CEOs is 56 years. Assume the variable is normally distributed. If the SD is four years, find the pr
Alenkinab [10]

Answer:

The probability that the age of a randomly selected CEO will be between 50 and 55 years old is 0.334.

Step-by-step explanation:

We have a normal distribution with mean=56 years and s.d.=4 years.

We have to calculate the probability that a randomly selected CEO have an age between 50 and 55.

We have to calculate the z-value for 50 and 55.

For x=50:

z=\frac{x-\mu}{\sigma}=\frac{50-56}{4}=\frac{-6}{4}=   -1.5

For x=55:

z=\frac{x-\mu}{\sigma}=\frac{55-56}{4}=\frac{-1}{4}=-0.25

The probability of being between 50 and 55 years is equal to the difference between the probability of being under 55 years and the probability of being under 50 years:

P(50

5 0
3 years ago
Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account
Elan Coil [88]

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

4 0
3 years ago
Given the equation f + 24 = −3, solve for f.
Anastasy [175]

Answer:

f=-27, hope this helped my love have a good rest of your day ^^

Step-by-step explanation:

subtract 24 from both sides

the you get f=-27

8 0
1 year ago
Can someone please help me with these two questions ​
Anarel [89]

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

__

23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

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24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

The ball is in the strike zone for 10.7 milliseconds.

4 0
3 years ago
6th grade math please help
Digiron [165]

Answer:

3/14

Step-by-step explanation:

6/7 ÷ 4

Copy dot flip

6/7 * 1/4

Rewriting

6/4 * 1/7

Divide the top and the bottom of the first fraction by 2

3/2 * 1/7

3/14

8 0
3 years ago
Read 2 more answers
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