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guapka [62]
3 years ago
6

8/9 + (−5/ 6) divided by 1/6

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

-4 1/9

Step-by-step explanation:

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I have two methods for you

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3 years ago
In a survey conducted by the Gallup​ Organization, 1100 adult Americans were asked how many hours they worked in the previous we
const2013 [10]

Answer:

1) Increase the sample size

2) Decrease the confidence level

Step-by-step explanation:

The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:

42.7 to 44.5

We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:

M.E=z_{\frac{\alpha}{2} } \times \frac{\sigma}{\sqrt{n}}

Here,

z_{\frac{\alpha}{2} } is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.

\sigma is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.

Therefore, the 2 recommendations to decrease the Margin of error for the given case are:

  1. Increase the sample size and make it more than 1100
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7 0
3 years ago
Find an equation of the line. Write the equation using function notation.
Gemiola [76]

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

Let m1 be the slope of given line

Then

m_1 = \frac{1}{4}\\

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4

The slope intercept form of line is given by:

y = m_2x+b

Putting the value of slope

y = -4x+b

to find the value of b, putting (3,-3) in equation

-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9

Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

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3 years ago
a store sells 1/3 pound of asparagus for $.75. You need to buy 5 pounds How much will u pay? Draw a modell or explain step by st
lana66690 [7]

Answer:

$11.25


Step-by-step explanation: multiply .75 by 3 then multiply that answer by 5 and get your answer.


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3 years ago
A carpenter has a board that is 18 1/2 long.He needs to cut as many 1 3/4 feet long pieces as possible.How many pieces can the c
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The carpenter can cut 10.5 pieces

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