-2x - 6 = 2 - 4x - (x - 1)<br> solve

Solve:<br> -8r - (-2r-3) = 13<br><br> (if you can give a step by step, that would be great!)

coldgirl [10]

Answer:

$r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6$

Step-by-step explanation:

$- 8r - ( - 2r - 3) = 13$

$- 8r + 2r + 3 = 13$

$- 6r + 3 = 13$

$- 6r = 13 - 3$

$- 6r = 10$

$\boxed{\green{r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6}}$

4 0

3 years ago

Consider testing H^0: u=20 against H^a: u<20 where u is the mean number of latex gloves used per week by all hospital employe

iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

Since is a one sided test the p value would be:

$p_v =P(t_{(45)}$

Part b: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation

$\bar X=19.1$ represent the sample mean

$s=11.8$ represent the sample standard deviation

$n=46$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 20, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517$

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

Since is a one sided test the p value would be:

$p_v =P(t_{(45)}$

Part b: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.

a. There is insufficient evidence to reject h^0

5 0

3 years ago

Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manag

Triss [41]

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86, n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))

p( non is defective ) = ( 81 / 86) × (80/85)

p( non is defective ) = 0.8865

Therefore, the probability that the shipment is accepted is 0.8865

7 0

2 years ago

I have been stuck with this question can someone help me on 10

inn [45]

Work:

A 12-pack of boxes is 4 3-pack of boxes, I found this by dividing 12 by 3.

A 24-pack of boxes is 2 12-pack of boxes, found by dividing 24 by 12.

A 24-pack of boxes is 8 3-pack of boxes, found by dividing 24 by 3 or by multiplying the two previous together (sometimes may not work)
Multiply
$1.09 × 4

That gets you to $4.36, which is less than the price of a 12-pack of boxes.

Then, multiply
$4.39 × 2

That gets you $8.78, which is less than a 24-pack of boxes.

Finally, multiply
$1.09 × 8

That gets you $8.72, which is less than a 24-pack of boxes.

Answer:

The best to buy is the 3-pack of boxes of juice, because it is cheaper when buying multiple of the 3-packs than it is to buy one or more of the 12-pack or 24-pack.

Hope this helps anyone with the question.

4 0

3 years ago

Read 2 more answers

Whats a quadrilateral

Karolina [17]

A four sided polygon, 4 edges and 4 corners

4 0

3 years ago

Read 2 more answers

-2x - 6 = 2 - 4x - (x - 1) solve