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3 years ago

1. Evaluate: 5 ÷1 + 3 + 7

Mathematics

1 answer:

Elena-2011 [213]3 years ago

3 0

Answer:

Step-by-step explanation:

5÷1+3+7

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

5÷1= 5, then 5+3=8, then 8+7= 15

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Use the distributive property to expand each expression. 0.5(12m - 22n) 0.5(12m - 22n =0.5(____) - 0.5(____)

lesya [120]

Answer:

0.5(_12m_) - 0.5(_22n_)

Step-by-step explanation:

To apply the distributive property multiply each the term outside to each term in the parenthesis.

0.5(12m - 22n) 0.5(12m - 22n =0.5(_12m_) - 0.5(_22n_)

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3 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

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Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

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3 years ago

HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!

n200080 [17]

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 2x + 1 + 25

10x + 2 = 2x + 26 ( subtract 2x from both sides )

8x + 2 = 26 ( subtract 2 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

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3 years ago

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Arisa [49]

The answer is -9 < x - 4 < 9

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2 years ago

Ally's hair grew from 10 10 \frac{3}{4} 4 3 inches to 13 13 \frac{1}{4} 4 1 inches over 5 months. At what rate did Ally's ha

Rzqust [24]

0.5 inches a month.

I believe you subtract 13 1/4 by 10 3/4 = 2 1/2.

Then you divide by 5.

3 0

3 years ago

1. Evaluate: 5 ÷1 + 3 + 7​

1. Evaluate: 5 ÷1 + 3 + 7