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% chance 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

Answers

Answer 1

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


Related Questions

Help me with this please

Answers

Answer:

(a) Only A and B

Angela purchased 12 pairs of socks for $54.

What is the unit rate?

Answers

Answer:

$4.5 per pair of socks

Step-by-step explanation:

I need help! Whoever answers get brainlist. Please write a step by step so I know how to do it next time.

Answers

Answer: 8/3

Step-by-step explanation:

So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.

Sorry this got so complicated. Hope this helped!

 

There are 5 quarts left in the fridge. How many liters are in the fridge? (1 quart = 0.946 liters).

Answers

0.946 x 5 = 4.73 litres

Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio​

Answers

Answer:

the ratio:     6:1

Step-by-step explanation:

to make it as a ratio :

We will make 4 years as months

So 4x12 =48

then the ratio: 48:8

                        6:1

hope this helps

Four ninths plus one ninth

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

4/9 + 1/9

To add fractions, you need a common denominator. You already have a common denominator of 9, so just add the numerators.

4/9 + 1/9 = 5/9

Since there is no common factor of 5 and 9 other than 1, the fraction is already reduced.

Answer: 5/9

An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1 as at least one digit.​

Answers

Answer:

93/481

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

780 - 299 = 481

Number of integers with at least one of digit 1:

Hundreds - 0,Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)So in total 50 + 43 = 93

The probability is:

P = favorable outcomes/total outcomes = 93/481

If PQ=12, QR=20, PS=12, and SR=20, then QS=

Answers

Answer:

QS=23.32

Step-by-step explanation:

by Pythagorean theoremh square is equal to p square + b square

so h=√12×12+20×20h=√144+400h=√544h=23.32

Buddy mark me as a brainlist

fill in the blank pls i need help

Answers

answer:
5-15
10-30
15-45

Answer:

x=5

y=30

y=15

Step-by-step explanation:

In 2006, 65.2 million people subscribed to cable television. In 2013, that number had decreased to 54.2 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.

Answers

Given :

In 2006, 65.2 million people subscribed to cable television.

In 2013, that number had decreased to 54.2 million.

To Find :

The percent decrease in the number of cable TV subscribers from 2006 to 2013.

Solution :

Decrease in the number of cable TV subscribers from 2006 to 2013 is :

[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]

Therefore, percentage decrease is 16.87 %.

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Find the value of x by filling in the blanks in the provided statement - reason solution.

I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!

Answers

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

Dertermine the quotient of 3/7 divided by 2/3 pls help

Answers

When you divide, you multiply by the other fraction’s reciprocal
= 3/7 * 3/2 = 9/14
Answer: 9/14

Answer: 9/14

Step-by-step explanation:

hope this helps!

Your value to live in a quiet apartment is $400. The neighbor living above your apartment makes noise using her treadmill every day. She values running at $500. Your neighbor has the right to run in her apartment. If the proper conditions are met, what does the Coase Theorem suggest is the likely outcome in this case

Answers

Answer:

continuation

Step-by-step explanation:

Since you value a quiet apartment at $400, which is less than $500, you might offer $400 for your neighbor to stop, but she values running higher, so she would likely refuse, resulting in the continuation of what's happening.

The correct statement to the given query is "The neighbor pays you $401 to continue running".

Coase's theorem predicts that throughout the face of such an external cost, contracting groups or two entities would be prepared to arrange as well as achieve a satisfactory solution.Because of this, one's neighbor would then compensate them at minimum the worth of their condominium so that he would rather start operating upon the treadmills.

Learn more about Coase theorem here:

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A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?

Answers

Answer: 50,000ft^3

Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor


Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?

Answers

Answer: Light caused the eludes plants to photosynthesize, releasing O2 gas

Students replicated the experiment carried out in biology class, and after observing for 24 hours that gas had accumulated in one of the inverted test tubes, it is by light caused to elodea plant to photosynthesize and release oxygen, hence option D is correct.

What is the photosynthesis experiment?

There are numerous studies that show photosynthesis in action. For instance, when an elodea plant is exposed to sunlight, gases are emitted, collected in a tube, and tested to see if they contain oxygen.

This shows that the plant creates oxygen and glucose when exposed to sunlight.

Therefore students replicated the experiment carried out in biology class, and by the plant during the process of photosynthesis, hence option D is correct.

Learn more about photosynthesis, here:

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Write and solve an equation to find x. Then find the measure of angle YXZ.
x=
The measure of Angle YXZ is
please i have 2 minutes left!!!

Answers

This is so simple so here...

A right angle is 90 degrees.

We learn that WXZ is 35 degrees.

90-35=55

YXZ is 55 degrees. I hope I could help!

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Answers

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.

Answers

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G       GP      T                                  = 30

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

X      X-6     (X-6)*4

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

9         3         12                               = 24

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

10       4         16                               = 30 ✅

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

4x−2​(x−4​)=−3+4x+5 please I need help

Answers

Answer:

x=3

Step-by-step explanation:

4x−2(x−4)=−3+4x+5

4x+(−2)(x)+(−2)(−4)=−3+4x+5

4x+−2x+8=−3+4x+5

(4x+−2x)+(8)=(4x)+(−3+5)

2x+8=4x+2

2x+8−4x=4x+2−4x

−2x+8=2

−2x+8−8=2−8

−2x=−6

−2x /−2 = −6 /−2

x=3

X is 3................

hallar el valor de x en 3(x-2)+4=x-5

Answers

Answer:

exact form 3/2 decimal  form 1.5 mixed number form 1 1/2

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]

☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]

3 ( x - 2 ) + 4 = x - 5

☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]

the value of x

[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]

You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.

⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]

⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]

On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '

⇢[tex] \sf{3x - 2 = x - 5}[/tex]

Move x to left hand side and change it's sign.

Similarly , move 2 to right hand side and change it's sign.

⇢[tex] \sf{3x - x = - 5 + 2}[/tex]

On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x

⇢[tex] \sf{2x = - 5 + 2}[/tex]

On the right hand side , - 5 + 2 = -3

⇢[tex] \sf{2x = - 3}[/tex]

Divide both sides by 2

⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]

⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]

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

✏ CHECK :

[tex] \text{3(x - 2) + 4 = x - 5}[/tex]

Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !

⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]

⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]

Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.

And we're done !!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

The sum of two numbers is 48. Their difference is −4. Find the numbers.

Answers

Answer:

22 and 26

Step-by-step explanation:

12.3 + 17.8 - ( 3.3 x 2 )​

Answers

The answer to this problem is 23.5 . You are going to start by multiplying whats inside the paranthesis’s and then you’re going to calulate the sum and then difference and you should be left with 23.5

Answer:

23.5

Step-by-step explanation:

12.3 + 17.8 - ( 3.3 x 2 )

12.3 + 17.8 - ( 6.6 )

30.1 - 6.6

23.5

Given the vectors u and v.

On a coordinate plane, vector u has origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

What is u · v?

19
59
61
160

Answers

Answer:

A. 19

Step-by-step explanation:

edge 2020

The dot product of the vector u and v is 19 if option (A) is correct.

What is a vector?

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have:

On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

Vector u = <(7-0, (8-0)> = <7, 8>

Siimilarly, v = <-3, 5>

u · v = (7×(-3)) + (8×5) = -21 + 40 = 19

Thus, the dot product of the vector u and v is 19 if option (A) is correct.

Learn more about the vector here:

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anyone up that can help me ​

Answers

Answer:

Step-by-step explanation:

reflection

to compound 50% solution in which proportion must 95% sol and 30% sol be mixed to make
500 ml

Answers

Answer:

4/9

Step-by-step explanation:

Let the amount of 95% sol = a ml and

the amount of 30% sol = b ml.

So, the total amount of the compound=a+b=500 ml

As the compound is 50% solution, so

95% of a + 30% of b= 50% of (a+b)

(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]

95a + 30b = 50(a+b)

95(a/b)+30 = 50(a+b)/b [dividing both sides by b]

95(a/b)+30 = 50(a/b+1)

95(a/b)+30 = 50(a/b)+50

95(a/b)-50(a/b)=50-30

45(a/b)=20

a/b=20/45

a/b=4/9

Therefore, a:b=4:9

As a+b= 500 ml, so the amount of 95% sol = [tex]\frac {500}{13}\times 4=\frac{2000}{13}=153.85[/tex] ml

and the amount of 95% sol = [tex]\frac {500}{13}\times 9=\frac{4500}{13}=346.15[/tex] ml

Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.

Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.

.




The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0

Answers

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

Simplifying polynomial expressions

Polynomial expressions are expressions that has a leading degree of 3 and above.

Given the expression

(-5x² - 2x + 4) + (8x² - x - 1) - (x+2)(x-5)

Expand the polynomial

(-5x² - 2x + 4) + (8x² - x - 1) - (x² -3x - 10)

Collect the like terms

-5x² + 8x² - x² - 2x - x + 3x + 4 - 1 + 10

2x²  + 13

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

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EASYYYYY!!! PLSSSS ANSWER

Answers

Answer:

hope this works

Step-by-step explanation:

c

The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?



help

Answers

10 because 800divided by 80 is 10

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?

Answers

Answer:

it is indeed B

Step-by-step explanation:

a few years late but its fine right

The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]

Hence the length of SW will be 9.5.

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Clara has a purse in the shape of a trapezoid.The top of the purse measures 22 cm while the bottom of the purse measures 36 cm. If the area of the purse is 754 cm, what is the height?

Answers

Step-by-step explanation:

this is you're answer 38

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