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elixir [45]
2 years ago
15

Which of the following is equal to 3m – 4n+5m+3n

Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Answer: 8m-1n

Step-by-step explanation:

add 3m + 5m to get 8m

-4n+3n is -1n

thus the answer being 8m-1n

You might be interested in
Joe makes a map of his neighborhood for a presentation the scale of his map is 1 inch: 250. How many do 6.5 inches represent on
KiRa [710]

Answer: 1625

Step-by-step explanation:

From the question, we are informed that Joe makes a map of his neighborhood for a presentation and that the scale of his map is 1 inch: 250.

Then, it should be noted that a 6.5 inches would represent:

= 6.5 × 250

= 1625

The answer is 1625

7 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

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

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use 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 sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

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

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
Pls pls pls pls help
Julli [10]

Answer:

the answer is option A

Step-by-step explanation:

6 0
2 years ago
Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his t
Katen [24]

x/3 + x/5 = 1 hr

8x/15 = 1 hr

x = 15/8

15/8 times 2 for round trip. 15/4 miles or 3.75 miles total

3 0
2 years ago
What is the exact value of cos (7pi/8)
Mrac [35]

Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  <u> cos (pi/8)</u>      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

6 0
2 years ago
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