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3 years ago

What does arc BC equal?

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

Answer:

124

Step-by-step explanation:

take 146, add 90 then subtract that answer from 360

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What’s 6 (3x + 5) please

olga nikolaevna [1]

6(3x+5)

6*3x=18x

6*5=30

<u>18x+30</u> is your answer! I hope this helped! :)

5 0

3 years ago

Which graph represents this equation?

zheka24 [161]

The graph in the bottom left is correct

5 0

3 years ago

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

(4x³-5x+10) ÷ (x+1)

zlopas [31]

Answer:

4x^2 − 4x −1 + 11 / x+1

Step-by-step explanation:

The answer is

4x^2 − 4x −1 + 11 / x+1

4 0

3 years ago

Read 2 more answers

Emma is carpeting 2 perfectly square rooms.

ivolga24 [154]

She's wrong. If you have two squares, $S_1$ with side $s_1$ and $S_2$ with side $s_2$ , it's not true that the sum of their areas is equivalent to the area of a square $S_3$ with side $s_3=s_1+s_2$ .

So, there's no point in summing the two sides. Instead, you have to compute the areas of the two squares and then sum them up.

So, the area of the first square is $2.7^2$ , and the area of the second square is $3.3^2$ .

Add these two numbers and you'll get how many squared meters of carpet she'll need.

6 0

3 years ago