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lana66690 [7]
3 years ago
9

The tax on a luxury item in Kansas is computed based upon 2% of the

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
Total tax
1,000×0.02+2,000×0.04
+27,000×0.05=1,450
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Please help 7th grade math question? URGENT! awarding brainliest!
Ivenika [448]

correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Step-by-step explanation:

We need to solve the expression:

2[(6x)(6x)]+4[(12x - 9)(6x)]

Solving:

2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x

So, correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Keywords: Surface area of the rectangular prism

Learn more about surface area of the rectangular prism at:

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#learnwithBrainly

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scoundrel [369]

Answer + Step-by-step explanation:

This is a three degree function

(by the image A and B can't be right)

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2 years ago
What is the area of the hexagon, A, B, C, or D?<br> (With short explanation please)
n200080 [17]
30 because tener is 6 sides and you do 6 times 5 to get 30
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When a bakery opened this morning the ratio of pineapple muffins to the number of mango muffins was 3:2. After 144 pineapple muf
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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
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