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Sunny_sXe [5.5K]
3 years ago
6

Probability. A professor rides his bike to work some days and drives his car on the other days. On any day there is an 80% chanc

e the professor will ride his bike and a 20% chance he will take his car. If the professor rides his bike, there is a 10% chance he will be late. If he takes his car, theres a 5% chance he will be late. 18. What is the probability the professor is late
Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

0.09

Step-by-step explanation:

Given :

P(bike) = 0.8

P(car) = 0.2

P(Late given car) = P(Late | car) = 0.05

P(Late given bike) = p(Late | bike) = 0.1

Probability that professor is late :

P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]

P(late) = [0.05 * 0.2] + [0.1 * 0.8]

P(late) = 0.01 + 0.08

P(late) = 0.09

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ASAP
vagabundo [1.1K]

Answer:

\frac{x+12}{4(x+3)}

Step-by-step explanation:

we have

(\frac{3}{x} +\frac{1}{4}):(1+\frac{3}{x})

Multiply by 4x numerator and denominator to remove the fractions

(\frac{3}{x}(4x) +\frac{1}{4}(4x)):(1(4x)+\frac{3}{x}(4x))

\frac{12+x}{4x+12}

Factor 4 in the denominator

\frac{x+12}{4(x+3)}

7 0
3 years ago
I need help asapp:) thank youu
Alja [10]

Answer:

C

Step-by-step explanation:

The minimum value is (3,-1)

5 0
3 years ago
Read 2 more answers
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7. If there are 105 orange juice bo
____ [38]
<h3>There are 135 bottles in all</h3>

<em><u>Solution:</u></em>

Given that,

A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7

Ratio = 1 : 1 : 7

Let the number of grape fruit juice bottles be 1x

Let the number of mango juice bottles be 1x

Let the number of orange juice bottles be 7x

There are 105 orange juice bottles

Therefore,

7x = 105

Divide both sides by 7

x = 15

Therefore,

number of grape fruit juice bottles = 1x = 15

number of mango juice bottles = 1x = 15

number of orange juice bottles = 7x = 105

Thus,

Total bottles = 15 + 15 + 105 = 135

Thus there are 135 bottles in all

5 0
3 years ago
How do you do a expression
8090 [49]
1. get rid of your parenthesis 
2. in order to do so you must look inside of the parenthesis and check if you have any like terms if so combine them
3. next use the distribution property or otherwise known as the rainbow
4. if you have an exponent to the right of your parenthesis then use the exponent rule
5. combine like terms by adding coefficients
6. finally combine the constants





5 0
3 years ago
What is the perimeter of the triangle?​
jolli1 [7]
P=a+b+c hope it helps
3 0
2 years ago
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