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4 years ago

If anyone knows how to do this stuff I would love some help (✿◠‿◠)

Mathematics

1 answer:

svetlana [45]4 years ago

4 0

Answer:

See explanation below

Step-by-step explanation:

(a) The spread of the data is represented by their range,

Adam's Range : 106 - 91 = 15

Miguel's Range : 105 - 86 = 19

As Miguel's Range is greater, his data has the greater spread

(b) The middle 50 percent of both data sets would be the following,

Adam | 103 | 105 | 104 | 106 | 100

Miguel | 88 | 86 | 89 | 93 | 105

And their 50% range would be ...

Adam's 50% Range : 106 - 100 = 6,

Miguel's 50% Range : 105 - 86 = 19

Adam still has the least spread, even in the middle 50%

(c) This proves that their is a small variance in Adam's training times, but a large variance in Miguel's training times (Miguel's data is more likely skewed).

You might be interested in

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

3 0

1 year ago

Sebastian is a 25 year old single male. He currently lives at home with his parents. His net worth income from work is $914.42 p

sergij07 [2.7K]

Step-by-step explanation:

$914.42 + $110= $1024.42 a month

Per month he pays $115 + $14 + $100 + $45 + $70 + $100 + $40

That comes to a total of $484 a month in expenses.

Subtract $484 from $1024.42

Assuming the side hustle is consistent that leaves $540.42 in additional income.

If he wants to afford the house rent, the best thing he can do is look for a better job. If that cannot be done for whatever reason, he should drop the Netflix subscription(+14), not go to the gym(+70), keep his pocketbook tight and not buy gifts(+40), and buy bulk type items from stores.

If he can make his dollar go farther by spending his money on bigger items of food he could probably spend only $85 a month on food.

With this advice he could save an additional $139 a month.

He now has $679. 42

He should also look at finding a cheaper bus pass around that $75 dollar range or just pay the fair whenever he gets on out of pocket (ONLY IF HE IS GOING TO WORK)

That totals out at $754.42

He can now afford rent.

7 0

2 years ago

-6-12:(+3);<br> Efectuati

Sav [38]

What are you asking

6 0

3 years ago

Which is more, 1 yard or 64 inches?

Marina86 [1]

Answer:

64 inches

Step-by-step explanation:

12 x 3ft (1yard)=36in

5 0

3 years ago

A rectangle prism has a height of 4 millimeters and width 5 millimeters. The total surface area is 166 square millimeters, what

Zolol [24]

The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166

7 0

4 years ago