It is known that the waiting time for a car to pass by on a country road is exponentially distributed with an average wait time of 19 minutes. Given that it has already taken 20 minutes, what is the probability that the wait time will be more than an additional 23 minutes? Round your answer to three decimal places.

Answers

Answer 1

Answer:

0.298

Step-by-step explanation:

in this case we have an exponential distribution:

1 - e ^ (- x / y)

where x and y corresponds to the times we find in the exercise.

Now follows memoryless property.

P (More than 23 additional minutes | 20 minutes passed)

P = P (More than 23 minutes)

P = 1 - P (Less than or equal to 23 minutes)

P = 1 - (1 - e ^ (- 23/19))

P = 0.298

Therefore the probability is 29.8%


Related Questions

The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!​

Answers

Answer:

not sure,but I think the answer is 3 to 4

what does 10 with a little 4 on the top mean​

Answers

Answer:

They are called exponents, they multiply the number itself (the bigger number) so the answer to 10 with a little 2, means 10x10 or "100"

Answer:

Using exponents is a short way of saying “multiply the number by itself.” The little number up above tells you how many times to multiply the number by itself. So 10 2 means 10 x 10, or 100. ... (Each time you have an exponent of 10, the little number up above tells you how many zeros there will be in the answer).

HELP NEEDED,THANK YOU find all real zeros and complex of each function f(x)=x(4x-6)(x+1)(3x+5).SHOW WORK!!!

Answers

Answer:

x=0, 3/2, -1, -5/3

Step-by-step explanation:

The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)

The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)

So the answer is 0, 3/2, -1, and -5/3.

In an election 32 thousand people voted for Mayor Jackson . A total of 56 thousand people voted in the election . What is the ratio of number of votes that were not mayor Jackson to the total number of votes in simplest?

Answers

Answer:

3/7

Step-by-step explanation:

to find the ratio of the number of votes that weren’t mayor jackson you do 56-32. the ratio will be 24/56. now you just simplify to get 3/7

Answer:

3/7

Step-by-step explanation:

Subtract 32,000 from 56,000 and you will get 24,000

24,000/56,000 is simplified to 3/7

What three-dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges?

Answers

Answer:

Hexagonal prism

Step-by-step explanation:

it has 2 bases and six rectangular faces

Answer:

C

Step-by-step explanation:

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

You have to use point slope form for this equation and convert it to slope intercept form... the perpendicular slope will be the negative reciprocal of 1/6. So it will be -6. We have the point (-3,23) so we would have that as (x1,y1). So you can use point slope form. y-23=-6(x-(-3)). Remember to simplify the -(-3) part.

y-23=-6(x+3)

Use distributive property

y-23=-6x-18

Solve for y by adding 23 to each side giving you

y=-6x+5

So that’s your answer...

A theater offered pre-sale tickets two days before a showing. On the first day, 12
adult and 5 children's tickets were purchased for $114.50. On the second day, 24
adult and 8 children's tickets were purchased for $218. Find the price of an adult
ticket and a children's ticket.

Answers

Answer:

Adult ticket: $7.25

Children's ticket: $5.50

Step-by-step explanation:

Set up a system of equations where a represents the cost of an adult ticket and c represents the cost of a child's ticket:

12a + 5c = 114.5

24a + 8c = 218

Solve by elimination by multiplying the top equation by -2:

-24a - 10c = -229

24a + 8c = 218

Add them together:

-2c = -11

c = 5.5

Now, plug in 5.5 as c in an equation to find a:

12a + 5c = 114.5

12a +5(5.5) = 114.5

12a + 27.5 = 114.5

12a = 87

a = 7.25

Answer:

Adult Ticket is $7.25 and Child Ticket is $5.50

Step-by-step explanation:

Lets make 2 equations out of the given information.

a = adults

c = children

Equation 1: 12a + 5c = 114.5

Equation 2: 24a + 8c = 218

We can now multiple Equation 1 by 2 so that we are able to eliminate the value of a.

New Equation 1: 24a + 10c = 229

Equation 2:         24a + 8c = 218

Now we can use subtraction and get a new equation: 2c = 11

Then divide and get:                                                          c = 5.5

The cost for a child's or "children's" ticket is $5.50 each. We can fill in the value of the childs ticket and get the value of an adult's ticket as $7.25.

Therefore, Children's Ticket costs: $5.50 & Adult's Ticket costs: $7.25

What is the input value for which f(x)=-3, plz help I really need this

Answers

Answer:Answer = 0

Step-by-step explanation:

A 14-year old girl caught feelings too fast and/or fell too hard. She judged herself every single day. She felt as if people judged her as she walked past people. She wanted to loose weight. How can she loose 139 lbs if she ways 180 lbs without going on a diet or taking any medicine or pills? How much lbs would she loose? How much would she weigh after? What sizes would she wear in all clothing?

Answers

Answer:

She can loosen weight by exercising. If she exercises for about 6-8 months she can loosen about 139 pounds. After loosing that much weight, she will weigh 40 lbs/pounds. She will then wear clothes of S(Small) size.

Step-by-step explanation:

Tried my best

She can exercise more, if she wants to lose more weight she can exercise more. Then she can wear m or s size clothes

th
Write an
explicit formula for
ans
then
term of the sequence 40,50,60, ....

Answers

Answer:   [tex]a_n = 10n+30[/tex]

n starts at 1, and n is a positive whole number (1,2,3,...)

======================================================

Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

[tex]a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\[/tex]

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get [tex]a_1 = 40[/tex]

Plug in n = 2 and you should get [tex]a_2 = 50[/tex]

and so on

literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

Answers

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

Which statement is true about the following system of equations?
3x - 1/2y = 1
x + 2y = 7
Select one:
a. y<x
O b.y=x
O c.y>x
d. can not be determined​

Answers

Answer:

c. y>x

Step-by-step explanation:

When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.

Here is what I mean by this:

Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.

x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.

Now that we have an expression which is equal to x.

We can directly replace that with the 3x in the other equation by multypling this by 3:

x = 7 - 2y → 3(x) - 1/2y = 1

3(7 - 2y) - 1/2y = 1

Now that we only have y's, we can simply the equation, and solve for y.

21 - 6y - 1/2y = 1

21 -13/2y = 1

(get rid of the constant on the left side by subtracting)

-21 -21

-13/2y = -20

(remove the denominator by Multiplying)

×2 ×2

-13y = -40

÷13 ÷13

(cancel out the coefficient by dividing)

-y = -40/13

(take the opposite of the other side to make y positive)

×-1 ×-1

y = 40/13.

Now that we have y just solve for x since we already have a term of x in the other equation:

y = 40/13 → x + 2y = 7

x + 2(40/13) = 7

x + 80/13 = 7

Then subtract both constants to find x:

x + 80/13 - 80/13 = 7 - 80/13

x = 7 - 80/13

(create like denominators, but Multipy

What are some confounding variables in randomized clinical trials for new medicine for cancer?

Answers

Answer:

A confounding variable is an “extra” variable that you didn't account for. They can ruin an experiment and give you useless results. ... For example, if you are researching whether lack of exercise leads to weight gain, lack of exercise is your independent variable and weight gain is your dependent variable.

Step-by-step explanation:A confounding variable is an “extra” variable that you didn't account for. They can ruin an experiment and give you useless results. ... For example, if you are researching whether lack of exercise leads to weight gain, lack of exercise is your independent variable and weight gain is your dependent variable.

Determine if EF || HL

Answers

Answer:

EF is not parallel to HL.

Step-by-step explanation:

They are not parallel because angle HLG is not equal to angle EFG. If the two lengths WERE parallel, those two angles would be equal. Angle GHL would be equal to angle GEF, but they are not equal, either.

Hope this helps!

Please help! i will mark brainliest!​

Answers

Answer: A. one real solution

This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.

The following table shows the number of hours some students of a class listen to music each day:


Student A B C D E F G H I J K L M N O
Hours 6.5 1 2.5 2.5 4 1 0.5 4.5 5 1 1 2 1.5 1.5 2


Which histogram best represents the data?
Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 11, height of the bar in the x interval 2 to 4 is 3, and the height of the bar in the x interval 4 to 6 is 1.
Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 10, height of the bar in the x interval 3 to 6 is 2, and the height of the bar in the x interval 6 to 9 is 1.
Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3, and the height of the bar in the x interval 6 to 9 is 1.
Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 10, height of the bar in the x interval 2 to 4 is 2, and the height of the bar in the x interval 4 to 6 is 1.

Answers

Answer:

Option C.

Step-by-step explanation:

In the given data minimum value is 0.5 and maximum value is 6.5.

In option A and D, last interval is 4-6. It means 6.5 is not included in these histograms. So, option A and D are incorrect.

Now,

Class interval   Students                  Number of students

   0-3        B,C,D,F,G,J,K,L,M,N,O           11

   3-6           E,H,I                                     3  

   6-9             A                                         1

Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3, and the height of the bar in the x interval 6 to 9 is 1.

Therefore, the correct option is C.

Answer:

The answer is C.

Step-by-step explanation:

Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3, and the height of the bar in the x interval 6 to 9 is 1.

Seth started reading his book at 2:50 P.M. At 3:20 P.M. he finished his second chapter and decided to stop for a snack. How long did Seth read?

Answers

Answer:

30 mins

Step-by-step explanation:

if you add 10 mins to 2:50, it makes it 3:00, then you just add the 10 mins + the 20 mins (after 3pm) and you get 30

the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac

Answers

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

A store ships books by weight. A small box can hold 4−6 pounds. A medium box can hold 5−7 pounds. A large box can hold 8−9 pounds. The weights of the books are given below. Drag books into each box to show what it can hold.

Answers

Answer:

well try to drag each book in each books that's what its asking so what's the specific question that you have

Answer:

Step-by-step explanation:

Lowest weight is 0.75 lb. so this will come into the small box.

Then 2.4 lb will come into medium box.

The heaviest weight 3.1 lb will come into large box

I need help with number 5

Answers

Answer:

B. BD = 9

Step-by-step explanation:

Simply set the 2 equations equal to each other (both are congruent due to perpendicular bisector):

6x + 3 = 3x = 6

3x + 3 = 6

3x = 3

x = 1

Then substitute 1 for x in BD

6(1) + 3

6 + 3

BD = 9

I think the answer is B

Shrimp costs $12 per pound. You buy
40 ounces. How much will you.( please show your work )

Answers

Answer:

$30

Step-by-step explanation:

Ounces to pounds. 16oz in a pound.

40 / 16 = 2.5

12 x 2.5 = 30

You will pay $30 on shrimp.

1 Lb = 16 oz

40 oz/ 16 oz = 2.5 lbs

2.5 lbs x 12 dollars = 30 dollars

Answer:
$30

write the equation of the circle The circle with center C(1, - 4) and radius r= 2

Answers

Answer:

(x-1) ^2 + (y+4)^2 = 4

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-1) ^2 + (y- -4)^2 = 2^2

(x-1) ^2 + (y+4)^2 = 4

Can I have help please. Step by step

Answers

Answer:

  m∠AED = 92°

Step-by-step explanation:

No doubt your lesson tells you the angle E is the average of the measures of the intercepted arcs:

  m∠AED = (arc BC + arc AD)/2 = (38° +146°)/2

  m∠AED = 92°

p= kq^3. when p= 9 , q= 3 a) calculate the value of k b) calculate p when q= 6 c) calculate p when q= 1 d) calculate q when p= 576

Answers

Answer:

see explanation

Step-by-step explanation:

Given

p = kq³

(a)

To find k use the condition when p = 9, q = 3, that is

9 = k × 3³ = 27k ( divide both sides by 27 )

k = [tex]\frac{9}{27}[/tex] = [tex]\frac{1}{3}[/tex]

p = [tex]\frac{1}{3}[/tex] q³ ← equation of variation

(b)

  When q = 6, then

p = [tex]\frac{1}{3}[/tex] × 6³ = [tex]\frac{1}{3}[/tex] × 216 = 72

(c)

When q = 1, then

p = [tex]\frac{1}{3}[/tex] × 1³ = [tex]\frac{1}{3}[/tex]

(d)

When p = 576 , then

576 = [tex]\frac{1}{3}[/tex] q³ ( multiply both sides by 3 )

1728 = q³ ( take the cube root of both sides )

q = [tex]\sqrt[3]{1728}[/tex] = 12

If h(x) = -4 x - 10 find h(- 5)

Answers

Answer:

We know that h times x equals the expression: -4x-10. We have been given our value of h which is -4. So we if we plug in the values for the variables, our expression would be: -4(-5). Since they are both negative values, the answer is going to be positive. So, -4 times -5 equals 20.

Answer: 20

the answer is 10


this is because you would put (-5) in for x. (-4) times (-5) is 20. Then you take 20-10 which is 10

given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)

Answers

Answer:

g(-2) = 0

Step-by-step explanation:

Since it is asking for g(-2), that means that we only have to worry about the equation g(x) = x^2+2x. When it asks for g(-2), that means you replace every "x" that shows up in the equation with -2.

So plugging in -2 for x we get g(-2)=(-2)^2+2(-2). Simplifying we get g(-2)=4+(-4). Now adding we finally get g(-2)=0

Using significant digits, determine the product of 3.865 and 2.4.

Answers

Answer:

3.865 - has 4 significant digits.

2.4 -  has 2 significant digits.

Product = 3.865 × 2.4 = 9.276

So,

9.276 has 4 significant digits.

Answer:

D:9.3

Step-by-step explanation:

The other person is right but forgot to round the last number, for significant numbers.

A bag of marbles contains only yellow, blue and green marbles. There are 4 yellow marbles and 2 blue marbles, and 1/3 of the marbles are green. If a marble is picked out at random, what is the probability it will be blue? Please give an answer ASAP!

Answers

Answer:

2/9

Step-by-step explanation:

There are 4 yellow marbles and 2 blue marbles = 6 marbles

This is 2/3 of the marbles since 1/3 are green

2/3 of the total marbles are 6 marbles

2/3 * m = 6

m = 6 * 3/2 = 9

1/3 m = green marbles = 1/3 *9 = 3

4 yellow marbles and 2 blue marbles 3 green marbles = 9 marbles

P ( blue) = blue/total = 2/9

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm.
Approximately how much space is in between the two spheres?
A. 61 cm³
B. 113.1cm³
C. 255.5 cm³
D. 766.6 cm³​

Answers

Answer:

Step-by-step explanation:

reqd. space=difference of volumes=4/3 πR³-4/3πr³=4/3π(R³-r³)

=4/3 π(5³-4³)

=4/3 π(125-64)

=4/3π(61)

≈255.5 cm³

i’m pretty sure the answer would be C

Time Sensitive Question

Answers

Answer:

X< 7/12

Step-by-step explanation:

Answer:

X< 7/12

Step-by-step explanation:

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