All categories

3 years ago

State the property used to go from step one to step two

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer: Distributive Property

Step-by-step explanation: The distributive property tells us that when there is a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.

You might be interested in

How many square units are in an office that is 13 units by 9 units?

Setler79 [48]

Well if 13x9=117 so what's the units if 13x9 is 117

6 0

3 years ago

Read 2 more answers

Find 2 ways to divide 16 evenly. Explain

Elan Coil [88]

8*2=16, 4*4=16, so 16/2 is even and so is 16/8 or 16/4

7 0

3 years ago

Read 2 more answers

HOW DO YOU FIND THIS AGAIN PLS HELP!

strojnjashka [21]

<h2>28 units²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

length = 8 units

breadth = 3.5 units

area = length × breadth

= 8 × 3.5

= 28 units²

<h2>____________________</h2><h2>FOLLOW ME</h2>

5 0

3 years ago

Read 2 more answers

The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar busi

eimsori [14]

Answer:

$t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714$

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131

Rejection Zone: $t_{calculated}$ or $t_{calculated}>2.131$

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts and data given

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4.2$ represent the sample mean

$s=1.4$ represent the sample standard deviation

n=16 represent the sample selected

$\alpha=0.05$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different from 3.6, the system of hypothesis would be:

Null hypothesis: $\mu = 3.6$

Alternative hypothesis: $\mu \neq 3.6$

If we analyze the size for the sample is < 30 and we 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:

$t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714$

Critical values

On this case since we have a bilateral test we need to critical values. We need to use the t distribution with $df=n-1=16-1=15$ degrees of freedom. The value for $\alpha=0.05$ and $\alpha/2=0.025$ so we need to find on the t distribution with 15 degrees of freedom two values that accumulates 0.025 of the ara on each tail. We can use the following excel codes:

"=T.INV(0.025,15)" "=T.INV(1-0.025,15)"

And we got $t_{crit}=\pm 2.131$

So the decision on this case would be:

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131

Rejection Zone: $t_{calculated}$ or $t_{calculated}>2.131$

Conclusion

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

3 0

3 years ago

Identify how the Virginia declaration of rights helped lead to an expansion of civil rights both in the state of Virginia and la

-BARSIC- [3]

Answer:

yeah

Step-by-step explanation:

wrong subject dude

things go wrong sometimes

you lost 46 points

$\lim_{n \to \infty} a_n$

7 0

3 years ago