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navik [9.2K]
3 years ago
7

What is the solution to –2(8x – 4) < 2x + 5?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0

Answer:

A. x>\frac{1}{6}

Step-by-step explanation:

We are given the inequality, -2(8x-4)

On simplifying, we get,

-2(8x-4)

i.e. -16x+8

i.e. -18x

i.e. 6x>1

i.e. x>\frac{1}{6}

Thus, the solution of the inequality is x>\frac{1}{6}.

Hence, option A is correct.

Talja [164]3 years ago
6 0

Answer:Option 'A' is correct. i.e. x>\frac{1}{6}

Step-by-step explanation:

Since we know that

-2(8x -4) < 2x + 5

We need to solve for 'x':

So, it becomes,

-2(8x -4) < 2x + 5\\\\-16x+85-8\\\\-18x>-3\\\\x>\frac{1}{6}

Hence, Option 'A' is correct. i.e. x>\frac{1}{6}

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In a prior sample of U.S. adults, the Center for Disease Control (CDC), found that 8% of the people in this sample had pinworm b
kow [346]

Answer: a) 453  b) 1537

Step-by-step explanation:

As per given , we have

Margin of error : E= 0.025

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

a) The prior estimate of population proportion : p=0.08

Required sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.08(1-0.08)(\dfrac{1.96}{0.025})^2\\\\=452.386816\approx453

The minimum sample size is 453 U.S. adults.

b) Since the prior estimate of population proportion is not available , so we take p= 0.5

Required sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.025})^2\\\\=1536.64\approx1537

The minimum sample size is 1537 U.S. adults.

5 0
4 years ago
Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to t
ZanzabumX [31]

Answer:

x≤50

Step-by-step explanation:

100-3x≥-50

subtracting 100 at both side on inequality

-100+100-3x≥--50-100

-3x≥-150

Dividing both sides by 3

-3x/3≥-150/3

-x≥--50

Adding 50 on both sides

-x+50≥-50+50

-x+50≥0

Adding x on both sides

-x+x+50≥0+x

50≥x

so,

x≤50

7 0
3 years ago
Read 2 more answers
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm d
Alona [7]
She<span> is </span>going<span> to </span>pour<span> it </span>into<span> a </span>paint tray<span> that </span>measures 10 inches wide<span>, </span>12 inches long, and5 cm deep. (1 gallon<span> =... ... (</span>1 gallon<span> = </span>231 in3<span>, </span>1 inch<span> = </span>2.54 cm<span>) Which of the </span>following scenarios will<span>happen? a. The </span>paint will<span> not fill it

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8 0
3 years ago
A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the later
Alexxx [7]
Hey Kid!
Given:Length 14 cmWidth 7 cmHeigth 1.66 cm
Lateral area = 2lh + 2wh LA = 2(14cm)(1.66cm) + 2(7cm)(1.66cm) LA = 46.48 cm² + 23.24 cm² LA =  69.72 cm²
Surface area = 2(wl + hl + hw) SA = 2(7cm*14cm) + 2(1.66cm*14cm) + 2(1.66cm*7cm)SA = 196 cm² + 46.48 cm² + 23.24 cm²SA = 265.72 cm²
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~Nadia~
5 0
4 years ago
The perimeter of a rectangular parking lot is 320 m.
Nezavi [6.7K]

Answer:

63 metres

Step-by-step explanation:

A rectangle has 4 sides

2 of these sides are the lengths

The other 2 sides are the width

If the length of one side is 97 metres, the other side length must also be 97 metres

The two lengths then add together (97 + 97) to become 194 metres

Now we can use this information to calculate the width

320 (the total perimeter) subtract 194 (The total length) = 126 metres

This means that 126 metres is the total width

Because there are two sides which add up to the total width we divide 126 by 2

This allows us to get the measurement of the width

126 divided by 2 = 63 metres

6 0
3 years ago
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