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max2010maxim [7]
3 years ago
10

Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un

less it is a vertical or horizontal line
Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

using point (0,8)...x1 = 0 and y1 = 8

slope(m) = 7/2

now sub

y - 8 = 7/2(x - 0) <===== another possible answer

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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

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

8 0
2 years ago
74386 divided by 874
Mice21 [21]

Answer:

85.11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(2b) A rectangular prism measures 2 &amp; 2/5 inches by 3 &amp; 1/5 inches by 2 inches. How many cubes with edge length 1/5 inch
erastova [34]

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

2 * 5 = 10

Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

3 0
3 years ago
Write a exponential function of 1600 by5.6%
NeX [460]

Step-by-step explanation:

If there is a growth of 5.6% per time unit. The function is

f(t) = 1600 * (1.056)^t

3 0
2 years ago
Please help me idk this
d1i1m1o1n [39]

Answer:

105

Step-by-step explanation:

500 goes into 100, 5 times

21 times 5 is 105

So 21/100 is equal to 105/500

Or you can do

500*0.21=105

4 0
3 years ago
Read 2 more answers
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