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3 years ago

Solve the inequality 7x<5x-8

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4

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A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard

ser-zykov [4K]

Answer:

Option a) A 95% confidence interval for the mean diameter of the 120 bearings in the sample is $10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}$ .

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 120

Sample mean = 10 mm

Standard Deviation = 0.24 mm

Formula:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}$

Hence, the correct interpretation for the confidence interval is given by option a).

A 95% confidence interval for the mean diameter of the 120 bearings in the sample is $10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}$ .

We have to consider the factor of sampling of 120 ball bearings from a population of 10,000 ball bearings.

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3 years ago

What is 6/11 - 9/2

Vedmedyk [2.9K]

Answer:

3 and 21/22

Step-by-step explanation:

You convert the fractions so they have the same number as the denominator and then subtract them.

6 0

3 years ago

(a) Increase the selling price of $42 by 10%

damaskus [11]

Answer:

Step-by-step explanation:

$p\%=\dfrac{p}{100}\\\\10\%=\dfrac{10}{100}=\dfrac{1}{10}=0.1\\\\10\%\ of\ \$42\to0.1\cdot\$42=\$4.2\\\\\$42+\$4.2=\$46.20$

Other method:

$\text{Increase bo}\ 10\%\to100\%+10\%=110\%\\\\110\%=\dfrac{110}{100}=\dfrac{11}{10}=1\dfrac{1}{10}=1.1\\\\110\%\ of\ \$42\to1.1\cdot\$42=\$46.2$

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4 years ago

Find the slope of the line that passes through the points (-6, 2) and (1, 2).

Likurg_2 [28]

Step-by-step explanation:

slope = yl - Y2 / X 1 - X2

= 2-2 /-6 - I = Zero

6 0

3 years ago

Read 2 more answers

Determine x when y =144?

Eddi Din [679]

It would be 134... X=134

8 0

4 years ago