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Marianna [84]
3 years ago
10

Explain​ how, in​ general, riemann sum approximations to the area of a region under a curve change as the number of subintervals

increases.
Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.

As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.

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The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.
erik [133]

Answer:

4.77

if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

5 0
3 years ago
Write an equation in slope intercept form that passes through the points (-2,-6) and (4,-15).
Vesnalui [34]
Equation of the line:

y = -1.5x – 9

or
y =
- 3 x
2
– -9
When x=0, y = -9
When y=0, x = -6



Mark brainliest please



Hope this helps you
7 0
3 years ago
Calculate the data value that corresponds to each of the following z-scores.
Fynjy0 [20]

Answer:

a) 90.1

b) $35.6

c) 3.0915 hours

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

Z = \frac{X - \mu}{\sigma}

In which \mu is the mean and \sigma is the standard deviaition.

In all three cases, we have to find X

a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.

Z = \frac{X - \mu}{\sigma}

2.30 = \frac{X - 74}{7}

X - 74 = 7*2.3

X = 90.1

b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.

Z = \frac{X - \mu}{\sigma}

-1.45 = \frac{X - 53}{12}

X - 53 = -1.45*12

X = 35.6

Mean and standard deviation in dollars, so the answer also in dollars.

c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.

Z = \frac{X - \mu}{\sigma}

-0.79 = \frac{X - 4}{1.15}

X - 4 = -0.79*1.15

X = 3.0915

Mean and standard deviation in hours, answer in hours.

6 0
3 years ago
What is <br> f(x)= (x-12)(x+1)<br> in standard form?
valentina_108 [34]

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

6 0
3 years ago
Amal worked a total of 30 hours last week on Saturday and Sunday he worked 5 times and many hora than he worked the rest of the
aleksley [76]
6 because 30 divided by5 is 6
7 0
4 years ago
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