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3 years ago

Solve the compound inequality 8x > –32 or 6x ≤ –48.

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

7 0

Answer:

Choice B is correct.

Step-by-step explanation:

We have given compound inequality:

8x > –32 or 6x ≤ –48

We have to solve the compound inequality.

We solve the first inequality:

8x > –32

x > -32/8

x > -4

We solve the second ineqality:

6x ≤ –48

x ≤ -48/6

x ≤ -8.

So, x > –4 or x ≤ –8 is the solution of the inequality.

lyudmila [28]3 years ago

4 0

Answer:

The second alternative is the correct answer

Step-by-step explanation:

We are given the inequality;

8x > -32

To solve for x we simply divide both sides by 8 and this will yield;

x > -4

For the second inequality;

6x ≤ -48

we divide both sides by 6 and solve for x;

x ≤ -8

Therefore the solution to the compound inequality is thus;

x > –4 or x ≤ –8

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2 years ago

In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

$\mu=np=300\times0.077=23.1$

$\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62$

Now, using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponding to 26 will be :-

$z=\dfrac{26-23.1}{4.62}\approx0.63$

Using standard distribution table for z , we have

P-value= $P(z\geq0.63)=1-P(z$

$=1-0.7356527=0.2643473\approx0.2643$

Hence, the probability that at least 26 in the sample are unemployed =0.2643

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3 years ago

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3 years ago

Read 2 more answers

Triangle BCD is equivalent AG=1.find the perimeter of BCD

Ymorist [56]

AG=1 => BG=3 => CG=sqrt3 => CD = 2sqrt3 => perimeter = 3*CD= 6sqrt3

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4 years ago