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defon
2 years ago
15

#9. Find the slope of the line in the graph.

Mathematics
1 answer:
jekas [21]2 years ago
7 0
The answer to this problem is -2/2
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Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309
fenix001 [56]

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

6 0
3 years ago
According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e
slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

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.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that p = 0.09

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

P(X < 4) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225

P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827

P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082

P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982

Finally

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0
3 years ago
Which ordered pair is on the graph of the function? (-6, 4) (-1, 2) (-2, -4) (6, -3)
VikaD [51]

Answer:

(-6,4) hope that helps you it's that in the y there is two 4

8 0
3 years ago
Read 2 more answers
Enter the correct number word to complete the conversion. 1 milliampere = one ? of an ampere
Lerok [7]

Answer:

One milliampere is equal to 0.001 ampere.

Step-by-step explanation:

Mili, refers to thousandth. (for example, millimeter or milliliter.)

6 0
3 years ago
The perimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which
VMariaS [17]

Answer:15

Step-by-step explanation:

Solve for w in the equation 2w + 10 =50.

8 0
3 years ago
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