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Vesna [10]
2 years ago
15

1/2 to the power of 5 equals

Mathematics
1 answer:
svp [43]2 years ago
3 0

Answer:

1/32

Step-by-step explanation:

This could be written as 1/2^5\\

1/2 x 1/2 x 1/2 x 1/2 x 1/2

= 1/32, or 0.03125.

You might be interested in
Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu
malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 15, p = \frac{1}{20}

a) The standard deviation is 0.8441

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and n = 15. So this option is correct.

c) The probability that x equals 1 is 0.3658

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

E(X) = np = 15*0.05 = 0.75

This option is correct.

f) None of the above

d is false

3 0
2 years ago
At what time will there be 64 cells in the bottle?
yawa3891 [41]

Answer: 10:30 a.m. will be the time where there are 64 cells in the bottle

Step-by-step explanation:

4 0
3 years ago
What is the answer and how is it the answer
zheka24 [161]
The answer would be 28 and trust me
7 0
3 years ago
A circle with the equation (x + 3)2 + (y - 2)2 = 25 is reflected over the line x = 2.
Elza [17]
So the circle has and equation of (x+3)2+(y-2)2=25 and its reflected over the line of two. So first in your problem is to simplify the function which could represent the y=mx+b. So it goes like this:
2x+6+2y-4=25
-2y=-2x-6+25
y=-2x-6+25/-2
y=x-25/2

so it means the answer would be in this kind of formula and i hope you can solve it cause im confused also so here is the formula:
(x-h)2-(y-k)2=25


7 0
2 years ago
Draw the following traingle after a 90 clockwise rotation about the origin
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The coordinates are (-5, 3), (-3, 6), (-6,6)
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