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2 years ago

Solve for x

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

5 0

Answer:

x≤6 or x≥30.

but the second symbol is just less than x. I can't find the right symbol.

Step-by-step explanation:

9x+4≤58 or 1/6x-2≥3

9x≤54 or 1/6x≥5

x≤ 6 or x≥ 30

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Mr Li bought four cartons of oranges.

julsineya [31]

Answer:

224

Step-by-step explanation:

3 0

3 years ago

A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

2 years ago

Help please..<br><br> Solve the equation<br> x^2 + 35x = 0

insens350 [35]

X²+35=0
X(x+35)=0

X=0 x+35=0
-35 -35
X=-35

x=0, x=-35

5 0

3 years ago

Which table of values would you use to graph y = 3X^2?

horsena [70]

Answer:

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7 0

3 years ago

A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How man

Vikki [24]

Answer:

A maximum of 306

Step-by-step explanation:

You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306

7 0

2 years ago

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