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3 years ago

Looking at the histogram, where would the median fall?

Mathematics

1 answer:

Naily [24]3 years ago

4 0

Answer:

The median would be found in the middle of the histogram

Step-by-step explanation:

It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.

Hope this helps.

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How do you do this question?

Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

$\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}$

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

$V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\$

$\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)$

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0

3 years ago

Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negat

Aleksandr-060686 [28]

Answer:

i think its A

Step-by-step explanation:

divide both sides by -2 which makes the y int -3 and A has a negative slope

6 0

2 years ago

WILL GIVE 5 STAR IF CORRECT: Chasity purchased a pool for $9,270 using a six-month deferred payment plan with an interest rate o

Verdich [7]

Answer:

$297.41

Step-by-step explanation:

Given that:

Amount = 9270

Derferred period = 6 months = 0.5 yr

Rate = 17.95% = 0.1795

Amount = 9270(1 + 0.1795)^0.5

Amount = 9270(1.1795)^0.5

Amount = 10067.663

PV = 10067.663

Number of months, n = 48

Monthly amount to be paid :

rp = rate per period = 0.1795/12 = 0.0149583

(rp * PV) / 1 - (1 + rp)^-n

(0.0149583 * 10067.663) / 1 - (1 + 0.0149583)^-48

150.5951234529 / 0.5096723

= 295.47441

Closest option is $297.41

6 0

3 years ago

Three consecutive odd integers have a sum of 27. What is the greatest of these integers?

Gnoma [55]

Answer:

Step-by-step explanation:

The middle of the three is their average, their sum divided by 3:

middle = 27/3 = 9

Then the largest is 2 more. It is 11.

6 0

3 years ago

Soft drinks are sold in 2-liter bottles or 354-milliliter containers. How many liters are in 354 milliliters? please explain wel

Akimi4 [234]

The answer is 0.354 liters.

6 0

3 years ago

Read 2 more answers