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zloy xaker [14]
3 years ago
6

Find the point where line A intersects line B.

Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

Use the equation m=y2-y1/x2-x1 to get the equation of both lines. Then, substitute numbers in to get the y-intercept. For example, for line A, you get y=4x+8. This is because 12-0/1--2 = 12/3 or 4. Then, do 12=4(1)+b. 12-4 = 8, so b equals 8. Do the same for the other line. Then, use the substitution method. This is where you take both equations and combine them without using y. For example, -2x+12=4x+8. You add 2x to 4x and get 6x. Then, you subtract 8 from 12 and get 4. We get x=4/6, which simplifies into 2/3. Then, you substitude that into one of the equations. 2/3 times 4 is 8/3 and add 8 to it. Multiply 8 by 3 to get that amount in thirds. You will get 8/3 plus 24/3 to get 32/3 as your y-value.

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Jlenok [28]

Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.

Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.

In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.

Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually

7 0
3 years ago
Read 2 more answers
Day Care Tuition A random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and
olasank [31]

Answer:

We have to find the 90% confidence interval for the mean

                 Given sample size  

                        Sample mean  

Population standard deviation  

Here the confidence level is 90% then  

                                                  And  

The 90% confidence interval is  

Here  is the critical value at 0.05

From the tables  

Now the 90% confidence interval is =

                                                                                     =

                                                                                     =(3840.44, 4133.56)

Hence the 90% confidence interval for the mean is (3840.44, 4133.56)

5 0
2 years ago
A rock show is being televised the lead singer who is 75 inches tall is 15 inches tall on a TV monitor the image of the bass pla
VladimirAG [237]
75 : 15 = x : 13
15 x = 75 · 13
15 x = 975
x = 975 : 15
x = 65
Answer:
The bass player is 65 inches tall.
6 0
3 years ago
How do you calculate this?
Dmitry_Shevchenko [17]

d = 5.6t {}^{2}  \\ 1814.4 = 5.6 \times t {}^{2}  \\ t {}^{2}  = 1814.4 \div 5.6 \\ t {}^{2}  = 324 \\ t =  \sqrt{324}  \\ t = 18
7 0
3 years ago
Read 2 more answers
Can i have help on this q plz
lukranit [14]

Answer:

No, they will need an additional £34 to stay the planned 10 nights.  

Step-by-step explanation:

Attached screenshot of a spreadsheet.

The cost for 10 nights for the 2 people is £100.

The tent site rental (over 10m^2) for 10 nights is £150.

Savings for the two over the 9 weeks is £216.

They will need an additional £34 to camp as planned.  

I suggest fibbing about the extra 0.5m^2 needed for the tent site.  That will reduce the bill by £30, so they are only £4 short.  Time to make a couple of friends.

3 0
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