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goblinko [34]
3 years ago
11

Jojo likes to paint She estimates the number of paintings she completes using the function P(W) = w – 2. where w is the number o

f weeks she spends painting. The function Jy)
represents how many weeks per year she spends painting which composite tunction would represent how many paintings Jojo completes in a year?
o pur)] = uğw - 2)
OPL:O] ģwy) - 2
ofPm)] = -Jy) - 2
JPW) - ağw - 2)
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

P[J(y)] = 2/3 * J(y) -2

Step-by-step explanation:

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries
blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution 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.

5.1% of burglaries are cleared with arrests.

This means that p = 0.051

A new detective is assigned to six different burglaries.

This means that n = 6

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

Then

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695

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8 0
3 years ago
Determine the distance between the following two points. (round to the nearest hundredths)
padilas [110]

Answer:

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Step-by-step explanation:

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d=\sqrt{(3-(-2))^2+(-4-1)^2}

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Which of the following values are solutions to the inequality 1 + 5x &lt; 4?
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then divide 5 from both sides 5x < 3 This leaves 5 5

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7 0
3 years ago
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