Question 3 of 10

. (6, 8), (6, -1), K(-6, -1), 2(-6, 8) what is the area of the rectangle?

klio [65]

Answer:

multiply the width and the height of the rectangle

4 0

4 years ago

Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 1/2 year, she had earned $5.00 in

emmainna [20.7K]

Answer:

800

Step-by-step explanation:

Just took the quiz

5 0

3 years ago

Prime factorization practice All factors

Alenkasestr [34]

1. -1•5•5 or also -1•5²
2. -1•7•7 -1•7²
3. -1•7
4. -1•13
5. -1•2•2•2•3 -1•2³•3
6.-1•2•2•2•2•3 -1•2^4•3
7. -1•2•2•2•3•7 -1•2³•3•7
Both factorization are correct it just depends on your teacher how she/he wants you to write it.

5 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!

NemiM [27]

Note: As you missed to mention the coordinate graph. After a little research I was able to find the graph and based on that graph I am answering your questions, which anyways would help you clear your concepts.

Question # 4

To Determine:

Part a) What are the coordinates (x, y) of a point halfway from City Hall to the hospital?

Part b) Is there more than one possibility?

Explanation:

Part a)

As the the location of coordinates of City Hall is (0, 0).
The hospital has the location at the point (-6, -4)

If we analyze the graph carefully, we observe that there is 10 blocks distance between City Hall to the Hospital. And when you travel by taxi, and cover the 5 blocks, it means you would have covered the halfway distance between City Hall to the hospital.

So, one of the coordinate (x, y) of a point halfway from City Hall to the hospital is (-1, -4). It could have also been (-4, -1). As both coordinates are indicating the half way distance from City Hall to the hospital, depending upon which route a car driver chooses.

Part b)

Yes, there is more than one possibility that there could be multiple coordinates (x, y) of a point halfway from City Hall to the hospital, as it entirely depends upon which route the taxi driver chooses to travel. For example, there is a total 10 block distance from City Hall to the hospital, and if a taxi covers 5 blocks, it means it has covered the halfway distance.

And to cover 5 block distance, there are multiple routes available a taxi driver can choose to travel. In short, the location of the coordinates of a point halfway from City Hall to the hospital is a function of the preference of the route chosen by taxi driver.

So, the points (-1, -4) and (-4, -1) are both the coordinates of a halfway from City Hall to the hospital.

 Question # 5

To Determine:

Part a) Suppose you traveled by helicopter. What are the coordinates of a point halfway from City Hall to the hospital? How can a helicopter travel differently?

Part b) Is there more than one possibility?

Explanation:

Part a)

When we are travelling by helicopter, we may have the flexibility of choosing the shortest possible distance as a car driver may not get this flexibility due to certain reasons like terrain, or a road blockage etc.

So, the coordinates of the point of shortest possible halfway distance from City Hall to the hospital is (-3, -2).

Part b)

Please remember, if we are travelling by helicopter and the Pilot chooses a shortest possible route, then there is only one way for the shortest possible route as there is only one halfway point.

Keywords: distance, shortest distance, coordinate, halfway distance

Learn more about distance from brainly.com/question/11592733

#learnwithBrainly

4 0

3 years ago

Last year it was found that on average it took students 20 minutes to fill out the forms required for graduation. This year the

Darina [25.2K]

Answer:

$t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35$

$p_v =P(t_{21}$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=18.5$ represent the sample mean

$s=5.2$ represent the standard deviation for the sample

$n=22$ sample size

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

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean for the new forms take less time to complete than the older forms, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

Compute the test statistic

We don't know the population deviation, so for this case 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".

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

$t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=22-1=21$

What do you conclude?

Compute the p-value

Since is a one left tailed test the p value would be:

$p_v =P(t_{21}$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.

7 0

3 years ago