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Zigmanuir [339]
3 years ago
6

Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

5/18, 13/18

Step-by-step explanation:

The basic probability of anything is Specific Outcome / Total Outcomes

The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18

The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.

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Evaluating more integrals
Greeley [361]

(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.

(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area \frac{\pi10^2}2=50\pi, so the integral is -50π.

(c) First compute

\displaystyle\int_{30}^{35}g(x)\,\mathrm dx

which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.

Then split up the desired integral as

\displaystyle\int_0^{35}g(x)\,\mathrm dx=\int_0^{10}g(x)\,\mathrm dx+\int_{10}^{30}g(x)\,\mathrm dx+\int_{30}^{35}g(x)\,\mathrm dx

and plug in the integral values you know:

\displaystyle\int_0^{35}g(x)\,\mathrm dx=100-50\pi+\frac{25}2=\frac{225}2-50\pi

4 0
3 years ago
Please I need help with all my spring packet<br>​
snow_tiger [21]

Answer:

Point S coordinates= (-4,5)

Step-by-step explanation:

If you would just move the point 5 PLACES TO THE RIGHT, you would get -4, 5, which is the correct answer.

6 0
3 years ago
Solve this problem, and identify the percent, amount, and base.<br> What percent of 60 is 45?
Mashutka [201]

Answer:

I'm pretty sure it's the last one.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If f(1) = 8 and f(n) = f(n-1) + 3 then find the value of f(6)
lubasha [3.4K]

Answer:

48

Step-by-step explanation:Its because they stated that f(1)= 8 so something times one = 8 which would of course be 8 so now u know that f=8 then u do 8(6) which is 48

6 0
3 years ago
An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find
tankabanditka [31]
2,600/4 =650
650•5 =3,250


I found the unit rate of the 2,600 by dividing the per hour and then times it by the 5 hours

Hopefully that was what you were looking for
3 0
3 years ago
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