Evaluate −7c2−7c−9−7d when c=−2 and d=1. Enter an integer or a fraction.

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

   |             . .            

   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

371 children

Step-by-step explanation:

289*$2,5 + 371*$1,5 = $1279

Answer:

The value of x is 144°

Step-by-step explanation:

Let us revise some facts about the circle

In the given question

∵ A is the center of the circle

∴ Angle x is a central angle subtended by arc BC

∴ The value of x  = the measure of arc BC

∵ The length of the arc BC is 2/5 of the circumference of the circle

∴ The measure of arc BC is 2/5 of the measure of the circle

∵ The measure of the circle = 360°

∴ x = 2/5 × 360°

∴ x = 144°

The value of x is 144°

Answer:

B) -2

Step-by-step explanation:

The slope of the line can be solved by using the following equation:

slope \((m) = \frac{y_2 - y_1}{x_2 - x_1}\)

Let: \((x_1, y_1) = (0 , 4)\\(x_2 , y_2) = (-1 , 6)\)

Plug in the corresponding numbers to the corresponding variables:

\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - (4)}{-1 - (0)}\)

\(m = \frac{6-4}{-1 - 0} = \frac{2}{-1}\)

m = -2 is your answer.

~

Learn more about solving for the slope of the line, here:

https://brainly.com/question/14511992

Answer:

The answer is B

-2

Step-by-step explanation:

slope =rise/run

\(m = \frac{y(2) - y(1)}{x(2) - x(1)} \)

\(m = \frac{6 - 4}{ - 1 - 0} \)

\(m = \frac{2}{ - 1} \)

\(m = - 2\)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

Answer:

A.) F=5+x

Step-by-step explanation:

I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .

Answer:

23.8

Step-by-step explanation:

2(5.2) + 2(6.7) = 23.8

Answer:

23.8 ...............

Step-by-step explanation:

I asked my alexa.

The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

Learn more about median at: https://brainly.com/question/26177250

#SPJ1

Answer: It is 9

Step-by-step explanation:

Answer:

10 is the difference

Answer:

Economics gone down and nature gone up

The quantity of bowls of soup are left in the pot aftee serving her family is 16 cups

Convert quarts to cups:

Total quantity of soup served = Number of people in Kimberly's family × Volume of bowl

= 4 × 2

= 8 cups

Quantity of bowls of soup are left in the pot = Quantity of chicken noodle soup made - Total quantity of soup served

= 24 cups - 8 cups

= 16 cups

In conclusion, 16 cups of soup are left in the pot after serving.

Read more on quarts to cups:

https://brainly.com/question/3071800

#SPJ1

Answer:

100 lol thanks

Step-by-step explanation:

25+25=50 50+25=75 75+25+100

Answer:

x = 11

Step-by-step explanation:

3x+1 = 2x+12 (subtract 2x from both sides)

x+1 = 12 (subtract 1 from both sides)

x = 11

So x is equal to 11

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

for such more question on fraction

https://brainly.com/question/1622425

#SPJ8

Answer:D

Step-by-step explanation:

please mark brainliest

Answer:

plane EHV

Step-by-step explanation:

To find the other name of plane T, we have to find any three non-collinear points on the plane T.

It means we have to find any three points which lie on the plane T but in a single straight line.

From the given figure it is clear that points E, H and V lie on plane T and they are not collinear.

Therefore, the other name of plane T is plane EHV.

Note: There are many other possible names of plane T, EHV is one of them.

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The point slope form of the equation of the line that passes through the points (6, -9) and (7, 1) is y - 1 = 10(x - 7)

Linear equation can be represented in different form such as point slope form, slope intercept from, standard form and general form.

The line passes through the points (6, -9) and (7, 1). The point slope form can be represented as follows:

y - y₁ = m(x - x₁)

where

Therefore, let's find the equation of the line that passes through the points (6, -9) and (7, 1).

Let's find the slope.

slope = m = 1 + 9 / 7 - 6

slope = 10 / 1

slope = 10

Therefore,

y - 1 = 10(x - 7)

learn more on point slope form here: https://brainly.com/question/29503162

#SPJ1

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To know more about APR follow

https://brainly.com/question/2772156

#SPJ9

Answer: I dont know it but if you need a little help I never understood it but your supposed to break it into a triangle and a rectangle

Step-by-step explanation:

Answer:

feeling like

Step-by-step explanation:

Answer:111

Step-by-step explanation:

1111

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

Learn more about quadratic formula here:

brainly.com/question/26926523

#SPJ9

Answer:

Step-by-step explanation:

Solution:

A four-digit number 4ab5 is divisible by 55. Then the value of b - a is 1.

Answer:

m = -8

Step-by-step explanation:

I hope this helps!

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer: Need some more detail

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

e