Every second, an elevator either has a 50% chance of going up and a 50% chance of going down. If the elevator starts at floor 15, what is the probability that, after 5 seconds, the elevator is at floor 18?

Answers

Answer 1

Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:

4 up, 1 down.3 up, 1 down, 1 up.1 down, 4 up.1 up, 1 down, 3 up.2 up, 1 down, 2 up.

5 outcomes, hence the probability is:

[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]

0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

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Related Questions

Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .

Answers

Answer:

Yes.

Step-by-step explanation:

Yes. They are normal

Factor 64r^2 −9s^2 ANSWER ASAP I WILL GIVE BRAINLEST

.

Answers

(8r+3s)(8r-3s) dont have working but noticed that it is the difference of two squares

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer is 10.6 :)
Answer: a = 10.6

Pythag is a squared + b squared = c squared
We have c and b so we can sub those in to get a squared + 12 squared = 16 squared
Which equals a squared + 144 = 256
Then we - 144 from both sides to get a squared = 112
Then we square root 112 to get a = 10.6
Hope that helps

Clare asks Andre to play the following number puzzle:

Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?

Answers

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.

Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?

Answers

Answer:

23/42

Step-by-step explanation:

2/7 = 12/42

1/6 = 7/42

12/42 + 7/42 = 19/42

42/42 - 19/42 = 23/42


PLEASE HELP ASAP LOOK AT PICTURE!!!

Answers

Answer is a look at y and it is the only answer that makes sense due to increase exponentionally in y while X is in 3a

Describe and correct the error in the given statement: The relation (1,-5), (2,-5), (3,6), (4,11) is not a function because the inputs 1 and 2 are both paired with the output -5.​

Answers

Answer:

15-5+38+8+595+2+8+6+9+7-5+29-8+8-5-5+2+8+3+9

.that bar of chocolate was divided into squares. i ate 1/12 of it, then headed downstairs. the next day i ate another 1/12 , then another 1/3. i couldn't help myself. what fraction was left?

Answers

Answer:

1/2 of the  bar is left

Step-by-step explanation:

1/12 x2= 2/12

2/12+ 1/3=2/12+4/12

6/12=1/2

show how

4

×

3

4

4

×

3

4

can be solved using multiplication and division.

Answers

Answer:

46784

Step-by-step explanation:

You would multiply all.the numbers and then your w

answer will be 46784

who can answer this help me bro/sis?​

Answers

Answer: 144 degrees, 136 degrees

Question 1:

The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.

Question 2:

For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.

49 + 87 = 136

180 - 136 = 44

Then follow the same steps in the first question.

180 - 44 = 136

1. Two numbers have a product of 12 but their sum is -7 what are the numbers.
2. The sum of two numbers is 1 but their product is -30 what are the numbers.

Answers

Answer:

1. (-3) and (-4)

2. (-5) and 6; vise versa

Answer:

Step-by-step explanation:

hello :

1)Two numbers have a product of 12 but their sum is -7 :

means :  xy=12 ....(*)

              x+y = -7 ....(**)

solve this system : use (**) you have   x = -y-7 put this value in (*)

so : (-y-7)y = 12

-y²-7y-12 = 0

y² +7y+12=0       a=1 b=7   and  c= 12

the discriminant  delta =b²-4ac        delta = 7²-4(1)(12) = 1

y1 = (-7-1)/2  = -4      and y2 =  (-7+1)/2 =-3

but x= -7-y

if :y =  - 4   x= -7-(-4) =-3

if : y=-3   x = -7-(-3) =-4

2) same method : xy=-30

                             x+y=1

NEED HELP NOW!!!!!!!

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

the baseline (where the height hits at a 90° angle) is 4 m.

the height is 3.7 m.

so, the area is

4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²

√2(3+3√2) Needs to be simplified down​

Answers

Answer:

Exact Form:3√2+6

Decimal Form:

10.24264068…

Step-by-step explanation:

Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?

I need the answer ASAP​

Answers

This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.

To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.

We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248

The volumes of two similar cylinders have a ratio of 27:64. The area of the base of the smaller cylinder is 18in
What is the area of the base of the larger cylinder?
Enter your answer in the box.

Answers

The answer is : 42.67 in

solve for z: -42z^2 = 14z

Answers

[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]

[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]

[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]

[tex]\\ \rm\Rrightarrow 3z=-1[/tex]

[tex]\\ \rm\Rrightarrow z=-1/3[/tex]

Another root is 0

Answer:

[tex] - \frac{844}{29} z[/tex]

Step-by-step explanation:

I hope to help

For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

The given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

Read more about intersecting chords at:

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100 Points!!!! Please help, Will Mark BRAINLIEST!!!!!!

Answers

Answer:

Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.

Explanation:

1. Part A:

Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

r = - 1 is  a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r =  + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.

Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.

2. Part B.

A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

I could imagine the amount of rainfall the week before of harvest.

Thus, the scenario could be:

Amout of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.

A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages​

Answers

student:: 15 years
teacher:: 30 years

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30

Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth

Answers

Answer:

While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70

Step-by-step explanation:

i hope this helps

The correlation coefficient of the given data about time and heart rates is 0.98.

What is correlation coefficient?

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.

How to calculate correlation coefficient?

We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.

The formula by Karl Pearson to calculate correlation coefficient is as under:

Correlation coefficient=

=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]

We have to calculate figures required to fill in the formula which are:

∑(x-x bar)(y-y bar)=350

∑[tex](x-x bar)^{2}[/tex]=44.67

∑[tex](y-y bar)^{2}[/tex]=2872.25

Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]

=350/6.68*53.59

=350/357.98

=0.977

After rounding off to nearest hundred it will be 0.98.

Hence the correlation coefficient of the data about time and heart rate is 0.98.

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What’s the domain and range?

Answers

Answer:

D [-1,3] and R [5,27]

Step-by-step explanation:

I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.

D [-1,3] or [tex]-1\leq x\leq 3[/tex]

R [5,27] or [tex]5\leq y\leq 27[/tex]

Find the volume of a pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m. Round your answer to the nearest tenth of a cubic meter.

Answers

The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³

How do i determine the volume of the pyramid?

First, we shall determine the determine the area of the square base. This is shown below:

Perimeter of square (P) = 14 mArea of the square base (A) = ?

P = 4L

14 = 4L

Divide both sides by 4

L = 14 / 4

L = 3.5 m

Now, the area is obtained as follow

A = L²

A = 3.5²

A = 12.25 m²

Finally, we shall determine the volume of the pyramid. Details below:

Area of the square base (A) = 12.25 m²Height of pyramid (h) = 8.8 mVolume of pyramid (V) = ?

V = ⅓Ah

V = ⅓ × 12.25 × 8.8

V = 35.9 m³

Thus, we can conclude that the volume of the pyramid is 35.9 m³

Learn more about volume of pyramid:

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Which of the scatter plots below shows the most accurate line of best fit?

A. Z
B. X
C. W
D. Y

Answers

i think its letter b

First drop down : 1. Cylinder 2.sphere
Second drop down: 1.divide by 2
2. Divide by 4
3.multiply by w2

Third drop down: 85
100
70

Answers

Answer:

Below.

Step-by-step explanation:

To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.

The total volume = 1/2 * 4/3 π (15)^3  + π (15)^2 * 85

= 67151.5 ft^3.

Step-by-step explanation:

find the volume of a sphere with a radius of 15 ft and divide by 2 (because there is only half a sphere on top of the silo).

then add the volume of a cylinder with a radius of 15 ft and a height of 85 ft (because we need to deduct the radius of the sphere from the total height to get the height of the cylinder itself).

Select the expression that simplifies to a value of 6.
2×5−23+3
53÷5×2−2
6+22×6÷3
33÷3×2÷3

Answers

the 4th one is the right

can i have help with this

Answers

Answer:

Option D

Step-by-step explanation:

Square:

     Side = 25 ft

    Area of square = side * side

                              = 25*25

                              = 625 square ft

Area of semicircle:

diameter = 25 ft

r = 25/2 = 12.5 ft

[tex]\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}[/tex]

                              [tex]=\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft[/tex]

Area of the shaded region = area of square - area of semicircle

                                              = 625 - 245.3

                                              = 379.7 square ft

Kevin ours more than emily each time they work together. Using this information, complete the table

Sorry for bad quality

Answers

Answer:

i believe the last one would be 9 for the number of hours kevin works.

Step-by-step explanation:

Which inequality does this graph show? LOOK AR PIC PLS ANSWER FAST

Answers

Answer:

D.

Step-by-step explanation:

1) if the points (1;-1) and (4;0) belong to the line, then

2) the equation of this line is 3y-x=-4;

3) the inequality is 3y-x≤-4.

what is the sum of 1 To 101 only positive integers pease fast​

Answers

Answer:

5050

Step-by-step explanation:

sum of first n natural num. = [n(n+1)]/2

sum of first 100 natural num. = (100x101)/2 = 5050

Answer : The sum of 1 to 101 positive integer is 5050

5052 will be sum of 1 to 101 only positive integer

What is the least common denominator for the fractions 1/3 and 1/6

Answers

Answer:

least common denominator=6

Step-by-step explanation:

For the fractions, 1/3 and 1/6th, 3*2=6. making the fraction 2/6 and leaving the other the same 1/6th.

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