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3 years ago

How do you simplify 16^2/24^7

Mathematics

1 answer:

quester [9]3 years ago

5 0

Answer:

1/(2¹³·3⁷)

Step-by-step explanation:

16²/24⁷

Factor the terms = (2⁴)²/(8×3)⁷

Apply the Power Rule = 2⁸/(2³×3)⁷

Apply the Power Rule = 2⁸/(2²¹ × 3⁷)

Apply the Quotient Rule = 1/(2¹³·3⁷)

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According to the national institute of allergy and infectious diseases about 3.7% of american adults have a food allergy. A larg

bixtya [17]

Answer:

The mean of x is close to 14.8.

The standard deviation of x is close to 3.78.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities $\pi$ and $1 - \pi$ .

For an experiment with n repeated trials and a probability of success $\pi$ , we have that:

The mean is: $\mu_{x} = n*\pi$

The standard deviation is: $\sigma_{x} = \sqrt{n*\pi*(1-\pi)}$

In this problem

There are 400 employees, each with a probability of 3.7% of having food allergy. So $n = 400, \pi = 0.037$ . So:

$\mu_{x} = n*\pi = 400*(0.037) = 14.8$

The mean of x is close to 14.8.

$\sigma_{x} = \sqrt{n*\pi*(1-\pi)} = \sqrt{400*(0.037)*(1-0.037)} = 3.78$

The standard deviation of x is close to 3.78.

5 0

3 years ago

What is the volume of a circular cylinder with a base diameter of 6 m and a height of 5 m?

mixas84 [53]

For this case we have that by definition the volume of a cylinder is:
V = ((pi) * (r ^ 2)) * (h).
Where
r: radio
h: height.
Also we have
r: d / 2
Where,
d: diameter.
Substituting we have:
V = ((pi) * ((d / 2) ^ 2)) * (h).
V = (pi) * (((6) / 2) ^ 2) * (5).
V = 45pi m ^ 3
Answer:
The volume of a circular cylinder is:
V = 45pi m ^ 3

6 0

2 years ago

Solve the inequality <br> 21≥t+10

olchik [2.2K]

The answer is t ≤ 11.

Subtract 10 from each side.

21 - 10 ≥ t + 10 - 10
t ≤ 11

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1 year ago

What is the measure of JM?

Ray Of Light [21]

Answer:

10???

Step-by-step explanation:

8 0

2 years ago

To what power must you raise the expression 7^1/2 to get 7 as the result?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

(7^1/2)^2=7^(1/2*2)=7

4 0

2 years ago