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3 years ago

The value of c is equal to _____.

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

For this case we have that by definition, the Pythagorean theorem states that:

$c = \sqrt {a ^ 2 + b ^ 2}$

Where:

a, b: Are the legs

c: It is the hypotenuse

According to the figure we have to:

$a = 20\\b = 21$

Substituting in the formula we have:

$c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29$

Answer:

Option D

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Which of the following inequality statements best represent the verbal expression?

Alex73 [517]

3rd option.

at least shows that the number can be equal to 2, and also that 2 should be the smallest possible value of the number.

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2 years ago

What 2 numbets add up to get 10 and multiply to get -39

kenny6666 [7]

13 and -3

13+-3=10
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3 years ago

Suppose you open a new game at the county fair. When patrons win, you pay them $3.00; when patrons lose, they pay you $1.00. If

tatyana61 [14]

Answer:

$E(X) = 1 *0.8 - 3*0.2 = 0.2$

so at the long run we can conclude that the best option is :

A) win 0.20 cents per play

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

Let X the random variable who represent the ampunt of money win/loss at the game defined.

The probability of loss $3.00 for this game is 0.2 and the probability of win is 1-0.2=0.8 and you will recieve $1.00 if you win. The expected value is given by:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And for this case if we replace we got:

$E(X) = 1 *0.8 - 3*0.2 = 0.2$

so at the long run we can conclude that the best option is :

A) win 0.20 cents per play

3 0

3 years ago

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.

lord [1]

Answer:

The factory made 3 batches of granola bars.

Step-by-step explanation:

Given that:

1/6 barrel of raisins is used in each batch of granola bars.

1/6 barrel = 1 batch

1/2 barrel = x batches

As the relationship is proportional,

1/6 : 1 :: 1/2 : x

Product of mean = Product of extreme

$\frac{1}{6}x=\frac{1}{2}$

Multiplying both sides by 6

$6*\frac{1}{6}x=\frac{1}{2}*6\\x=3$

Hence,

The factory made 3 batches of granola bars.

7 0

2 years ago

Problem: Construct a triangle with interior angle measures of 60° and 75°. What is the measure of the third angle? 30° 45° 48° 5

barxatty [35]

Answer:

Step-by-step explanation:

Every triangle's angles must add up to 180 degrees

180 - 60 - 75 = 45

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2 years ago

Read 2 more answers