The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)}

8. Show work here for 5(3d+5e+3)

Darya [45]

Answer:

15d+25e+15

Step-by-step explanation:

Distribute

4 0

3 years ago

The answer to the question please

son4ous [18]

10 flute players
the ratio will be 6:5 on both

5 0

3 years ago

What is the measure of arc BC? 130 65 32.5 180

ale4655 [162]

Answer:

The measure of arc BC is 130° ⇒ 1st answer

Step-by-step explanation:

In a circle:

The measure of an arc is equal to the measure of the central angle subtended by it
The measure of an arc is equal to double the measure of the inscribed angle subtended by it
Central angles subtended by the same arc are equal in measures
Inscribed angles subtended by the same arc are equal in measures
The measure of central angle is double the measure of the inscribed angle which subtended by its arc

∵ Angle BDC is an inscribed angle

∵ It is subtended by the arc BC

- By using the 2nd fact above

∴ The measure of arc BC = 2 × the measure of ∠BDC

∵ The measure of angle BDC is 65 degree

∴ The measure of arc BC = 2 × 65°

∴ The measure of arc BC = 130°

The measure of arc BC is 130°

7 0

4 years ago

I need this ASAP please.

Marrrta [24]

Answer:

Step-by-step explanation:

I honestly dont know but see if your answer's on this site copy and paste this

A sphercial water tank has a diameter or 32 ft. How much water can the tank hold to the nearest gallon.(Hint 1ft=7.48) what is the weight of the water in the cylinder?

4 0

3 years ago

A candy manufacturer claims that the average weight of their individually wrapped candy is 3 grams. Sixty-four candy pieces were

Anon25 [30]

Answer:

$t=\frac{2.8-3}{\frac{0.5}{\sqrt{64}}}=-3.2$

$p_v =P(t_{(63)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 3 grams at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=2.8$ represent the sample mean

$s=0.5$ represent the sample standard deviation for the sample

$n=64$ sample size

$\mu_o =3$ represent the value that we want to test

$\alpha=0.05$ 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 true mean is lower than 3 grams, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

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:

$t=\frac{2.8-3}{\frac{0.5}{\sqrt{64}}}=-3.2$

P-value

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

$df=n-1=64-1=63$

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

$p_v =P(t_{(63)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 3 grams at 5% of signficance.

8 0

4 years ago