A bicyclist rides 1/5 mile in 1/65 hour. Write this rate as a unit rate

What is the equation in point slope form of the line that passes through the point

Anuta_ua [19.1K]

Answer:

$\large\boxed{y+2=3(x-1)}$

Step-by-step explanation:

$\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\\\\\text{We have the slope}\ m=3\ \text{and the point (1, -2). Substitute:}\\\\y-(-2)=3(x-1)\\\\y+2=3(x-1)$

3 0

3 years ago

in 2010 an enormous sinkhole suddenly appeared in the middle of a guatemalan neighborhood and swallowed a three story building a

Leokris [45]

Answer:

Step-by-step explanation:

Given that :

The enormous sinkhole that appeared in the middle of Guatemalan neighborhood in the year 2010 swallowed a three story building above it and the sinkhole has an estimated depth of about 100 feet

How much material is needed to fill the sinkhole?

Then , the material needed to fill the sinkhole will be dependent on the volume of the sinkhole.

Determine what information is needed to answer the question.

The information that is needed to answer this question are:

the base area of the sinkhole will be required; &

the height should also be known

if the base area is determined then we can proceed to determine how much material is needed to be calculated.

Do you think your estimate is more likely to be too high or too low

No, the estimate is not likely to be too high or too low rather the estimate of the material required will be almost equal to the volume of the sinkhole, but that does not implies that it will be exactly the same since the sinkhole is not uniform and regular in shape.

5 0

3 years ago

TRUE OR FALSE: <br> An isosceles trapezoid is a trapezoid with congruent legs.

dem82 [27]

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

4 0

3 years ago

Read 2 more answers

Please help!!!!! <br><br><br> Split using partial fraction decomposition

Rama09 [41]

Answer:

11

Step-by-step explanation:

11

6 0

3 years ago

A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa

Norma-Jean [14]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $df=n-1=25-1=24$

For this case the p value is given $p_v = 0.0392$

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 higher than 15 at 5% of signficance.

c) Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation

$\bar X=18.3$ represent the sample mean

$s=3.72$ represent the sample standard deviation

$n=25$ sample size

$\mu_o =15$ 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)

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

If we analyze the size for the sample is < 30 and 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".

Part b: P-value and conclusion

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

$df=n-1=25-1=24$

For this case the p value is given $p_v = 0.0392$

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 higher than 15 at 5% of signficance.

Part c

Type I error, also known as a “false positive” is the error of rejecting a null hypothesis when it is actually true. Can be interpreted as the error of no reject an alternative hypothesis when the results can be attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0

3 years ago