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Black_prince [1.1K]
3 years ago
12

Two flag poles in front of the Court House are 12 ft tall. The distance from the top of one pole to the base of the other as sho

wn in the diagram is 20 ft. What is the distance between the two flag poles?
Mathematics
1 answer:
allsm [11]3 years ago
5 0
To calculate this you can use the Pythagorean Theorem, so if one pole is the height, the distance from top of one to bottom of other is hypotenuse, you can solve for the base by taking the square root of (20^2 - 12^2) or 16 which is the answer.
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a box contains 20 red, 10 blue and 30 yellow beads. what is the probability of a bead drawn at random being yellow or blue?​
dexar [7]

Answer:

2/3

Step-by-step explanation:

1. add all the beads up together:

    20+10+30= 60

2. add the blue and yellow beads up:

    10+30= 40

3. put 40 over 60

    40/60 which equals 2/3

4. the final answer:

    2/3

5 0
3 years ago
The tape diagram represents an equation.
Thepotemich [5.8K]

Answer:

q = 4

Step-by-step explanation:

this is your equation

8 + q = 12

rearrange to find q

q = 12 - 8

q = 4

4 0
4 years ago
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4 0
2 years ago
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

                =1\times 1\times 0.737424\\=0.737424\\\approx 0.7374

Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

6 0
3 years ago
Sine and cosine ratios
Dima020 [189]
Sin(angle) = opposite leg / hypotenuse (X)

sin(48) = 5 / X

X = 5 / sin(48)

X = 6.7

The answer is C.

7 0
3 years ago
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