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Wittaler [7]
2 years ago
12

A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of s

eniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day.
To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?

17%
19%
36%
70%
Mathematics
1 answer:
exis [7]2 years ago
3 0

The probability that a senior takes the bus to school every day, given that he or she has a driver’s license is 17%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

As per the rule of conditional probability, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license can be written as,

P(Have License | Takes school bus)

   = (Probability the seniors have driver’s licenses and take the bus to school every day) / (Probability of Having a licenses)

  = 0.14 / 0.84

  = 0.16667 ≈ 17%

Hence, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license is 17%.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

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1011+111 in binary form
Ann [662]

Answer:

10010

Step-by-step explanation:

1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0

111=1(2)^2+1(2)^1+1(2)^0

So 1011+111 gives us:

1(2)^3+0(2)^2+1(2)^1+1(2)^0

+

1(2)^2+1(2)^1+1(2)^0

-----------------------------------------------------

Combine like terms:

1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0

1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace 2^0 with 1 and 2 with (2)^1:

1(2)^3+1(2)^2+(2)^2+(2)^1(1)

I want a 2^0 number:

1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0

Combine like terms:

1(2)^3+2(2)^2+1(2)^1+0(2)^0

2(2)^2=2^3:

1(2)^3+2^3+1(2)^1+0(2)^0

Combine like terms:

2(2)^3+1(2)^1+0(2)^0

We can rewrite the first term by law of exponents:

2^4+1(2)^1+0(2)^0

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So the binary form is:

10010

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

      1     0     1      1

+            1      1      1

------------------------------

     (1)    (1)    (1)

      1     0     1      1

+            1      1      1

------------------------------

     1 0    0     1       0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0
3 years ago
The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the
MrMuchimi

Answer:

<em>2\pi \: rh + 2\pi {r}^{2}  = 2(t \times  {r}^{2} )</em>

Step-by-step explanation:

The TSA of the cylinder

2\pi \: rh + 2\pi {r}^{2}

In Mathematics, 'is' is =

Twice means 2( )

Product means ×

So we have

2\pi \: rh + 2\pi {r}^{2}  = 2(t \times  {r}^{2} )

as the answer.

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Step-by-step explanation:

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