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4 years ago

Write a sentence that shows the commutative property of multiplication

1 answer:

7 0

The commutative property of multiplication states that the order of multiplication of numbers does not matter.

Number Sentence:

2 * 3 = 3 * 2 = 6

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Ask Your Teacher The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particula

Georgia [21]

Answer:

The level is L = 0.084

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017$

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

$Z = \frac{X - \mu}{\sigma}$

By the Central limit theorem

$Z = \frac{X - \mu}{s}$

$2.325 = \frac{X - 0.08}{0.0017}$

$X - 0.08 = 2.325*0.0017$

$X = 0.084$

The level is L = 0.084

4 0

4 years ago

Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?

Neko [114]

Answer:

Step-by-step explanation:

Since he does 90 cars-----5 days

x cars--------1 day

we multiply 90 by 1 then over 5

5 0

2 years ago

Read 2 more answers

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 88

Firdavs [7]

The answer is __ because the directions that the truck traveled are basically in the shape of a right triangle. From the warehouse to the airport, that's the slanted line, and from the warehouse to the factory, and the factory to the airport, those are the other lines.

To find the slant line of a right triangle, you want to use the Pythagorean theorem:

a^(2) * b^(2) = c^(2)

c being the slant line

In this case, we want to count how many boxes the other two lines are, then later factor in what units it's in. (meaning later we convert the boxes into miles)

The distance from the warehouse to the factory is 8, and the distance from the factory to the airport is 6. Now, we want to multiply 8 squared by 6 squared to equal c squared.

64+36 = 100

c squared = 100

Next, we have to find the square root of both sides of the equation.

c = 10

This means that there are 10 boxes in between the airport and the warehouse. Since one box = 44 miles, then we multiply our answer by 44 to find the real amount of miles that the truck traveled.

The distance from the warehouse to the airport = 440 miles
The distance from the warehouse to the factory = 352 miles (44*8)
The distance from the factory to the airport = 264 miles (44*6)

Now just add all the values together to find out how many miles in total the truck traveled.

440 + 352 + 264 = 1056

3 0

4 years ago

PLS HELP WHAT IS THE QUOTIENT,DIVISOR,DIVIDEND I ALR GOT THE ANSWER

prohojiy [21]

Answer:

Dividend= $(3x^4+4x^2-2x-35)$