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2 years ago

1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2-3n-1)/2

1 answer:

7 0

Use math induction proof method will be usefully

for n=1 will get

1^2 = 1(6*1^2 -3*1 -1)/2
1 = 1(6-4)/2
1 = 1(2)/2
1 = 1

suppose true for n=k and prove for k = k+1

hope this will help you

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I need help on this and a few more i have been busy lately

BaLLatris [955]

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

8 0

2 years ago

Plz help with slope question

nasty-shy [4]

Answer:

The equation in slope-intercept form:

$y = -3x - 4$

Step-by-step explanation:

Use the point-slope formula:

$y-y_{1} = m (x-x_{1})$

Use the given slope $-3$ and point $(0,-4)$ for the formula:

$y + 4= -3 (x-0)$

-Then, you solve the formula:

$y + 4 = -3 (x-0)$

$y+4 - 4 = -3 (x-0) -4$

$y = -3x - 4$

The equation, which is in slope-intercept form:

$y = -3x - 4$

7 0

2 years ago

Read 2 more answers

State which measure of center, or measure of spread, represents the situation. A company finds the difference between the lighte

bearhunter [10]

The difference between the minimum data point and the maximum data point is called the range. This is a measure of spread.
Other measures of spread include the interquartile range/IQR, which helps eliminate outliers, the standard deviation, and the mean absolute deviation. Measures of central tendency include the mean, median & mode.

8 0

2 years ago

Use the stem-and-leaf plot shown. What is the mean time (to the nearest minute) that is spent waiting at the doctor's office?

ioda

Answer:

The answer is 34 minutes

Step-by-step explanation:

you add all the numbers and that gives you 446.. then you divide by how many #'s in total they are.

446÷13=34.3

then you round to the nearest minute which is 34

5 0

3 years ago

Read 2 more answers

A sample of baseball games shows that the mean length of the games is 179.83 minutes. (The data is given in BaseballTimes if you

Dmitriy789 [7]

Answer: Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.

Step-by-step explanation:

Since we have given that

Mean length of the games = 179.83

Standard error = 3.75

We need to find the value of P(X>170).

So, it becomes,

$z=\dfrac{X-\mu}{s}=\dfrac{179-170}{3.75}\\\\z=2.4$

Let $z_{crict}=1.64$

Since z is greater than z(critical value).

So,Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.

5 0

2 years ago