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rjkz [21]
2 years ago
7

E is 3 more than d. f is 5 less than d. Write an expression for e in terms of d

Mathematics
1 answer:
Nataly_w [17]2 years ago
4 0

Answer:

Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

Step-by-step explanation:

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Answer: point C = (3.75, 1.5)

Step-by-step explanation:

As the direction of the distance is from A to B, we need to down the y-axis and along (to the right) the x-axis.

Find the distance between the x-coordinates of both points by subtracting the x-coordinate of A from the x-coordinate of B:

5 - 0 = 5

3/4 of the length of this distance = 0.75 x 5 = 3.75

So the x-coordinate of C will be the sum of the distance (3.75) and the x-coordinate of A (as we are "travelling" from A to B):

3.75 + 0 = 3.75

Find the distance between the y-coordinates of both points by subtracting the y-coordinate of B from the y-coordinate of A:

3 - 1 = 2

3/4 of the length of this distance = 0.75 x 2 = 1.5

So the y-coordinate of C will be the y-coordinate of A minus the distance (1.5):

3 - 1.5 = 1.5

Therefore, point C = (3.75, 1.5)

Hope that helps - i dont know what u meant by option 1,2,3 so if u have an questions or i did it wrong i will fix it <3

   

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Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

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Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

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Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

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