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3 years ago

Help please! I need it done

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Step-by-step explanation:

General equation of a line in slope intercept form is given by

y = mx+c

where m is slope and c is y-intercept

Here, y = 5x+9

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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.

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

We want $P(X \geq 4)$

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

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

daniiel is currently 26 years older than his son. in 6 years he will be three times older than his son. how old are both of them

Molodets [167]

Answer:

Daniiel is 33 years old.

The son is 7 years old.

Step-by-step explanation:

x+26=3x

The x represents the son.

To solve for x:

-26=x-3x

-26=-2x

x=13

Since the father will be 3 times his son's age in six years we subtract 6.

x=7

This means the son is 7 years old as of right now. To find the father's age you do 7+26=33

7 0

3 years ago

Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if A

elena-s [515]

Answer: AC=3.5

Solve proportionally:3 over 4 equals 1.5 over x.

3x= 6

6/3=2

X=2

2+1.5=3.5

6 0

3 years ago

Read 2 more answers

A box contains

Usimov [2.4K]

<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

</span>the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4

7 0

3 years ago

A city survey of two neighborhoods asked residents whether they would prefer a new playground or a dog park.

const2013 [10]

Answer:

so if it is asking about the exact percentage then the answer is B but if it is the percentage in all the answer is D.

Step-by-step explanation: My reasoning behind is that 70 percent of the neighborhood wants a playground if it is 40 to 17

3 0

3 years ago

Read 2 more answers