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3 years ago

3(x-5)-2 greater than or equal to -16

Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

x ≥ 1/3

Step-by-step explanation:

You can solve this inequality as follows:

3(x-5)-2 ≥ -16

3(x-5) ≥ -16 +2 = -14

3x -15 ≥ -14

3x ≥ -14 +15 = 1

x ≥ 1/3

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Read 2 more answers

MATHEMATICS<br> Evaluate (0.110 two)³ expressing your answer in base ten.

zysi [14]

Evaluating (0.110 two)³ in base ten is (343/512) ten

The question has to do with number base

<h3>What is number base?</h3>

A number base is a system of numbering used to represent numbers.

<h3>How to evaluate (0.110 two)³ in base ten.</h3>

Since we have (0.110 two)³,we desire to convert 0.110 two to base ten.

So, converting 0.110 two to base ten, following the procedure, we have that

0.110 two = 0 × 2⁰ + 1 × 2⁻¹ + 1 × 2⁻² + 1 × 2⁻³

= 0 × 2⁰ + 1 × 1/2¹ + 1 × 1/2² + 1 × 1/2³

= 0 × 1 + 1 × 1/2 + 1 × 1/4 + 1 × 1/8

= 0 + 1/2 +1/4 + 1/8

= (4 + 2 + 1)/8

= 7/8

So, thus 0.110 two = (7/8) ten

Thus we see that (0.110 two)³ = (7/8)³ ten

= (343/512) ten

So, expressing (0.110 two)³ in base ten is (343/512) ten

Learn more about number base here:

brainly.com/question/27072175

#SPJ1

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1 year ago

Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches

sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\bar{x} = \mu = 25\text{ inches}$

b) Standard deviation of the sampling distribution

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}$

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3 years ago

3​(x-5​)-2 greater than or equal to -16

3(x-5)-2 greater than or equal to -16