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vova2212 [387]
3 years ago
7

PLEASE HELP ME!!!! PLEASE

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
6 0
Number of unique page views is 20 so therefore it’s D ;)
Ann [662]3 years ago
3 0
D your welcome man:)
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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.

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
Find the domain of the function f (x) = 2/x-4 + 1/x+2
Andreas93 [3]

As written, the denominator in both fractions is x, so the only restriction on the domain is ... x ≠ 0.

_____

We suspect you intend ...

... f(x) = 2/(x-4) +1/(x+2)

which is undefined when x = 4 or x = -2.

The domain is all real numbers except -2 and 4.

6 0
3 years ago
Please need help 20 points
Debora [2.8K]

Step-by-step explanation:

90+48=138

180-138=42

y=42

8 0
2 years ago
Math geometry please help me.
Orlov [11]

Answer:

Yes

Step-by-step explanation:

It passes the vertical line test.

if you draw vertical lines, it should hit the function only once, if it hits coordinates with the same x value (for example, (1,2) and (1,3)), it is not a function.

In the graph, each x value is only hit once.

8 0
3 years ago
Read 2 more answers
Charmaine is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet.
Nana76 [90]

Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

6 0
3 years ago
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