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GenaCL600 [577]
2 years ago
5

Do the lines y=5x+2 and y=5x+4 intersect? if so, at what point? Thanks for your help!!

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0
They do not intersect, they are parallel lines. 
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Here are two datasets:
fiasKO [112]

Answer:

Option a) Mean

Mean is affected a lot by the change in the last observation as the median remains the same.

Step-by-step explanation:

we are given the following in the question:

Data set A: 64, 65, 66, 68, 70, 71, 72

Data set B: 64, 65, 66, 68, 70, 71, 720

For data set A, the mean and median are 68.

For data set B:

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1124}{7} = 160.57

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data:

64, 65, 66, 68, 70, 71, 720

\text{Median} = \dfrac{7+1}{2}^{th} \text{ term} = 4^th\text{ term} = 68

Clearly, 720 is the is a outlier.

As seen mean is affected a lot by the change in the last observation as the median remains the same.

5 0
3 years ago
Determine the end behavior for function ƒ(x) = –x(x – 8)(2 – x).
saveliy_v [14]
It's a cubic with a positive x^3 coefficient. The general shape is "/".

It goes to -∞ for large negative x.
It goes to +∞ for large positive x.

4 0
3 years ago
~PLEASE HELP ASAP OFFERING 12 POINTS~
Anna35 [415]

The answer is definitely 60%

7 0
3 years ago
Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(
MAVERICK [17]

Answer:

If you center the series at x=1

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

Step-by-step explanation:

From the information given we know that

f(x) = e^{2x^2}

f'(x) = 4x e^{2x^2}   (This comes from the chain rule )

f^{(2)}(x) = 4e^{2x^2} (4x^2+1)   (This comes from the chain rule and the product rule)

f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)  (This comes from the chain rule and the product rule)

If you center the series at x=1  then

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

3 0
2 years ago
Write the equation of a line that is perpendicular to y=3x-2 and that passes through the point (-9,5)
damaskus [11]
Slope of perpendicular is -1/3.
Then equation is
y-5=(-1/3)(x+9)
8 0
2 years ago
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