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Dmitry [639]
3 years ago
6

Grape juice: 15%

Mathematics
1 answer:
Kryger [21]3 years ago
5 0
Where is the table??
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a rectangular rug covers 1200 square inches on the floor. The length of the rug is 30 inches .What is the length in inches of th
Crank

Answer:

The length is 30 (which you aready said) and the width is 40

Step-by-step explanation:

1200/30=40

(another way)

120/30=4 (multiply each side by ten)

8 0
3 years ago
Simplify the following by combing like terms.
GREYUIT [131]
B. 3M-2N
this is because when you combine 4n and -6n you get -2n
5 0
3 years ago
Tom's school report must be more than 12 pages, he writes at the rate of a half a page a day.
soldi70 [24.7K]

Answer:

24 days (or more)

Step-by-step explanation:

I assume you want to figure out how long it will take Tom to write the minimum amount of pages for his school report at that rate?

Since Tom writes 1/2 a page a day and he must write 12 or more pages, then it will take him 2 days to write one page, thus, 24 days to write 12 pages.

Therefore, Tom needs at least 24 days to write his school report.

3 0
2 years ago
Read 2 more answers
The equation 2(5+7) = (2•5) + (2•7) illustrates what property?
wel

In this question, you're trying to figure out what property is being represented.

Your answer would be the Distributive Property

This is your answer because as you can see, you are "distributing" the 2 to the variables inside the parenthesis.

When you distribute the number, you would be multiplying, in which in this case there is multiplication.

Therefore, Distributive property would be the correct answer.

3 0
3 years ago
Read 2 more answers
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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