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Akimi4 [234]
2 years ago
12

What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

5

Step-by-step explanation:

n + m -2(m-m)

Combine like terms

n+m+2(0)

n+m

Let m=3 and n=2

2+3

5

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Solve x to the power of 3 = 8
Nostrana [21]
X^3=8
x^3=2^3
Therefore, x=2
3 0
3 years ago
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The absolute deviation for 3 is
luda_lava [24]

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Find the sum of the data values, and divide the sum by the number of data values.

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

Find the sum of the absolute values of the differences.

Divide the sum of the absolute values of the differences by the number of data values.

3 0
3 years ago
Subtract fractions with different denominators
Tems11 [23]

Answer:

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

Step-by-step explanation:

We know that

  • A fraction consists of two integers—one on the top, and one on the bottom.
  • The top one is numerator, the bottom one is denominator, and
  • These two numbers are separated by a line.

Let us consider two different fractions with different denominators

  • \frac{10}{15}
  • \frac{2}{5}

Lets subtract the two fractions

\frac{10}{15}-\frac{2}{5}\:\:\:\:

\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}

=\frac{2}{3}-\frac{2}{5}

\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5

\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}

\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3

\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}

so

=\frac{10}{15}-\frac{6}{15}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{10-6}{15}

\mathrm{Subtract\:the\:numbers:}\:10-6=4

=\frac{4}{15}

Therefore,

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

5 0
3 years ago
Beer shelf life is a problem for brewers and distributors because when beer is stored at room temperature, its flavor deteriorat
mr_godi [17]

Answer:

As the calculated value of t =2.1698 is greater than t (0.05,11) = 1.796 reject H0 . It means  chosen bottles stored for a month convince you that the mean furfuryl ether content exceeds the taste threshhold.

Step-by-step explanation:

We formulate our null and alternative hypotheses as

H0 u≤ 6 ug     Ha : u > 6 ug

The significance level ∝ = 0.05

The test statistic used is

t = X` - u / s/ √n

which if H0 is true, has the students' t test with n-1 = 11 degrees of freedom.

The critical region t > t (0.05,11) = 1.796

We compute the t value from the data

Xi               Xi²

8.92         79.5664

6.99          48.8601

5.54          30.6916

5.73           32.8329

6.38           40.7044

5.51            30.3601

6.45           41.6025

7.50           56.25

8.48           71.9104

5.56          30.9136

6.90          47.61

<u>6.46          41.7316          </u>

<u>80.42         553.0336</u><u>      </u>

<u />

Now x` = ∑x/ n = 80.42/12 = 6.70

S²= 1/n-1 ( ∑(xi- x`)²= 1/11 ( 553.034 - (80.42)²/12)

= 1/11 (553.034-538.948) = 1.2805

s= 1.1316

Putting the values in the test statistics

t = X` - u / s/ √n = 6.70- 6 / 1.1316 / √12

= 2.1698

The critical region t > t (0.05,11) = 1.796

As the calculated value of t =2.1698 is greater than t (0.05,11) = 1.796 reject H0 . It means  chosen bottles stored for a month convince you that the mean furfuryl ether content exceeds the taste threshhold.

6 0
3 years ago
Tina practiced piano for 15 hours last month and 45 hours this month. Use multiplication to write a statement comparing the hour
Pani-rosa [81]

Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.


Step-by-step explanation:

Given : Duration of Tina practiced piano last month=  15 hours

Duration of Tina practiced piano this month=  45 hours

We can see 45 is a multiple of 15 such that 45=15\times3

Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.

6 0
3 years ago
Read 2 more answers
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