Ask question

Ask question

All categories

3 years ago

12

2. Does the point (2, 3) lie on the graph of y = 3x - 4 ? Explain. (2 points)

1 answer:

finlep [7]3 years ago

7 0

Answer:

Step-by-step explanation:

because :

when : x = 2 y = 3(2)-4 =6-4 =2 non 3

You might be interested in

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

(c) Margin of error = 0.800

(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

3 years ago

(27 points for whoever answers this ) Write an expression to represent the sum modeled in the following number line.

FinnZ [79.3K]

$-3\dfrac13+\dfrac63=\dfrac{-10+6}3=-\dfrac43$

4 0

3 years ago

Help please 15 points

Margaret [11]

it took to long for you to rkgnhyh2gnb 45kljhnt4kjl ht3kltnhkj3rgn4tn2t4kb ktnhkjthk6l

7 0

3 years ago

How do I solve this part a,b

Svetach [21]

Answer:

the anwser you put is correct

Step-by-step explanation:

congragulations! glad i could help :)

4 0

3 years ago

Which domain restrictions apply to the rational expression?

Anton [14]

It can either be the negative sign of the number by the x so it should either be 2 or -

6 0

3 years ago