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2 years ago

Given f(x) = 3. + 1, solve for when f(3) = 7.

Mathematics

1 answer:

Sati [7]2 years ago

4 0

Answer:

The question is incomplete

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Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

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

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

2 years ago

Three wires are 6.5 m, 8.19 m, and 4.457 m long. What is the total length of the wires? Give your answer with the appropriate pr

LenaWriter [7]

The answer for the problem above is 19.147 meters is the total length of the wires.

6 0

3 years ago

Read 2 more answers

Human civilization, at least since the time of ancient Egypt, is on the order of 5000 years old. The age of the Earth is on the

olchik [2.2K]

Write and solve an equation of ratios:

5 *10^9 years 100 m
------------------- = --------------
5 * 10^3 yrs x

Reducing the first fraction,

100 m
10^6 = ----------
x
100 m
Solving for x, x = ------------- = 10^(-4) m, or [10^(-1)] * [10^(-3))]
10^6
this comes out to one tenth of 1 millimeter.

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3 years ago

Evaluate the integral i. i = int_0^(pi/2) ( 3 (sin(t))^2 cos(t)i + 6 sin(t)(cos(t))^5j + 4 sin(t)cos(t)k )dt

marishachu [46]

See, please, the suggested option.
If it possible, check it in other sources.