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3 years ago

-5mn + 6n - 4m + 2mn + 8n + 3m simplify please show your work

Mathematics

2 answers:

BARSIC [14]3 years ago

7 0

Answer:

-3mn + 14n - m is your answer.

Step-by-step explanation:

Combine like terms (terms with the same amount of variables). Reorder so that it is so:

(-5mn + 2mn) + (6n + 8n) + (-4m + 3m)

Combine like terms. Add or subtract the variables. Note that if there is no number, it is assumed that there is a 1:

(-5mn + 2mn) = (2mn - 5mn) = -3mn

(6n + 8n) = 14n

(-4m + 3m) = 3m - 4m = -m

(-3mn) + (14n) + (-m)

-3mn + 14n - m is your answer.

wel3 years ago

7 0

Answer:

−3mn−m+14n

Step-by-step explanation:

(−5m)(n)+6n−4m+2mn+8n+3m

=−5mn+6n+−4m+2mn+8n+3m

Combine Like Terms:

=−5mn+6n+−4m+2mn+8n+3m

=(−5mn+2mn)+(−4m+3m)+(6n+8n)

=−3mn+−m+14n

Answer:

=−3mn−m+14n

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A variable contains five categories. It is expected that data are uniformly distributed across these five categories. To test th

lubasha [3.4K]

Answer:

33.293 ± 0.01= 33.303 and 33.383,

Step-by-step explanation:

We first need to fit a normal distribution , but neither the mean nor the standard deviation is given . We therefore estimate the sample mean and sample standard deviation s. Using the data we find ∑fx=378 and

∑fx²=1344 so that mean x` = 2.885 or 2.9 and standard deviation s =1.360

x f fx x² fx²

1 27 27 1 27

2 30 60 4 120

3 29 87 9 261

4 21 84 16 336

5 24 120 25 600

∑f=131 ∑fx=378 ∑fx²=1344

Mean = x`= ∑fx/ ∑f= 2.9

Standard Deviation = s= √∑fx²/∑f-(∑fx/∑f)²

s= √1344/131 - (378/131)²

s= √10.26-(2.9)²

s= √10.26- 8.41

s= √1.85= 1.360

Next we need to compute the expected frequencies for all classes and the value of chi square. The necessary calculations for expected frequencies , ei`s ( ei= npi`) where pi` is the estimate of pi together with the value of chi square are shown below.

Categories zi` P(Z<z) pi` Expected Observed

frequency ei Frequency Oi

1 -1.39 0.0823 0.0823 10.78 27

2 -0.66 0.2546 0.1723 22.57 30

3 0.07 0.5279 0.2733 35.80 29

4 0.808 0.7881 0.2602 34.08 21

5 1.54 0.937 0.1489 19.51 24

Categories Expected Observed (oi-ei)²/ei

frequency ei Frequency Oi OBSERVED VALUE

1 10.78 27 24.41

2 22.57 30 1.54

3 35.80 29 1.29

4 34.08 21 5.02

5 19.51 24 1.033

Total 131 33.293

There are five categories , we have used the sample mean and sample standard deviation , so the number of degrees of freedom is 5-1-2= 2

The critical region is chi square ≥ chi square (0.001)(2) =9.21

CONCLUSION:

Since the calculated value of chi square =9.21 does not fall in the critical region we are unable to reject our null hypothesis and conclude normal distribution provides a good fit for the given frequency distribution.

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4 years ago

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MAVERICK [17]

Answer:

y=640-3x

Step-by-step explanation:

The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.

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3 years ago

An athletic director pays $90 for 12 sun visors for the softball team. a. How much will the athletic director pay to buy 15 more

Likurg_2 [28]

Get the unit rate.

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$7.50 for a sun visor.

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The athletic director needs to pay $112.5 to buy 15 more sun visors.

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4 years ago

I need with this. Someone help please.

seraphim [82]

Answer:

In the ATTACHMENT

Step-by-step explanation:

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For the second one, know that the $y$ line is always horizontal. Find -3 on the plot that would be on the $y-axis$ and put that horizontal line on it.

Hope this helps!!

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4 years ago

Which is the best estimate of the number of times amber would pull out a new york quarter if she pulled out a quarter another 30

Anna [14]

I found the table that contains the following data:
25 times:
Column No. 1 2 3 4 5 Total

New York 3 2 2 1 2 10
Connecticut 1 1 1 2 0 5
Pennsylvania 1 1 1 1 1 5
Rhode Island 0 1 1 1 2 5

New York: 10/25 or 2/5
Connecticut: 5/25 or 1/5
Pennsylvania: 5/25 or 1/5
Rhode Island: 5/25 or 1/5

300 times * 2/5 = 120 times for New York

The best estimate of the number of times Amber would pull out a New York quarter is 120.

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3 years ago