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Sphinxa [80]
3 years ago
11

You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, wh

at is your probability of not winning?
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

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Tatiana [17]
-3(5 + 8x) - 20 ≤ -11  |use distributive property: a(b + c) = ab + ac

-15 - 24x - 20 ≤ -11

-35 - 24x ≤ -11    |add 35 to both sides

-24x ≤ 24      |change signs

24x ≥ -24    |divide both sides by 24

x ≥ -1
3 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of
yulyashka [42]
Use Pythagoras theorem. (a^2 + b^2 = c^2)

300^2+300^2 = 180000
√180000 = 424.3

The answer is 424 foot.

Hope this helps.
3 0
3 years ago
Can someone help me find the slope?
kipiarov [429]

Answer:

Undefined

Step-by-step explanation:

First, take 2 points from the table given, then you use the equation y2-y1/x2-x1 to find your slope. So, if I take the coordinates (7,1) and (7,2) and plug them into my equation, I would get 2-1/7-7. If you solve this equation, you will end up wil 1/0. Now, if you have something like this as your answer, you can not find your slope. There can not be a slope because the zero is at the bottom, making this "Undefined".

7 0
3 years ago
Open the cpt manual to the page that contains code 40490. what section of the cpt coding manual is this code listed in?
klasskru [66]

The section of the CPT coding manual is the code 40490 is listed in is "digestive system."

<h3>What is CPT codes?</h3>

CPT is the language used by providers and payers when billing medical procedures and services for reimbursement.

Some key features regarding the CPT codes are-

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To know more about the CPT codes, here

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