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3 years ago

Solving 2 step inequalities give three solutions for each inequality -3(1-z)<9

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

-3, -2 and -1

Step-by-step explanation:

Given the inequality -3(1-z)<9

Expand

-3(1)-3z <9

-3-3z <9

Add 3 to both sides

-3-3z+3<9+3

-3z<12

Divide both sides by -3

-3z/-3 >12/-3

z > -4

The required solutions are values greater than -4 and they are -3, -2 and -1

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Paul [167]

Answer:

3,-2.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro

gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $49.85 < \mu < 54.15$

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

The sample size is n = 30

The sample mean is $\= x = 52$

The population standard deviation is $\sigma = 6$

Given that the confidence level is 95% then the level of confidence is evaluate as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 6 }{\sqrt{30} }$

$E = 2.147$

The 95% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$52 - 2.147 < \mu < 52 + 2.147$

$49.85 < \mu < 54.15$

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4 years ago

A large moving box has a volume of 45 cubic meters. The width of the box i:

olchik [2.2K]

Answer:

3x10, 6x5

Step-by-step explanation:

45 / 1.5 = 30

Find any two factors of 30 and you have an answer.

2x15 and 1x30 don't work because they are less than or equal to 2.

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4 years ago

Is this right or wrong ?

Otrada [13]

Answer:

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3 years ago

Mr. And Mrs. Brown budget 4.2% of their annual disposable income of $43,500 for clothes . How much do they budget annually?

malfutka [58]

$43,500 * 4.2%= $1827

How much do they budget annually? $1827

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3 years ago