On a​ map, 1 inch equals 20 miles. Two cities are 5 inches apart on the map. What is the actual distance between the​ cities?

Answer:

D 6,9

Step-by-step explanation:

Answer:

[tex]P(50 < x < 150) =0.3834[/tex]

[tex]P(x = 100) =0.0074[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.[/tex]

Solving (a): Probability that it will function between 50 and 150 hr before it breaks down

This is represented as:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx[/tex]

So, we have:

[tex]P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}[/tex]

This gives:

[tex]P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-150/100} + e^{-50/100}[/tex]

[tex]P(50 < x < 150) =- e^{-1.5} + e^{-0.5}[/tex]

[tex]P(50 < x < 150) =- 0.2231 + 0.6065[/tex]

[tex]P(50 < x < 150) =0.3834[/tex]

Solving (a): Probability that it will function exactly 100 hr before it breaks down

This is represented as:

[tex]P(x= 100)[/tex]

This can be rewritten as:

[tex]P(x= 100) = P(99<x<101)[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx[/tex]

So, we have:

[tex]P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx[/tex]

Integrate:

[tex]P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}[/tex]

This gives:

[tex]P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-101/100} + e^{-99/100}[/tex]

[tex]P(99 < x < 101) =- e^{-1.01} + e^{-0.99}[/tex]

[tex]P(99 < x < 101) =- 0.3642 + 0.3716[/tex]

[tex]P(99 < x < 101) =0.0074[/tex]

Hence:

[tex]P(x = 100) =P(99 < x < 101) =0.0074[/tex]

Answer:

5 9/14

Step-by-step explanation:

easy maffs

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

Answer:

actually its depend on how is he working day by day

Answer:

It depends were you are looking from but there is shows D. Oval so ig thats

the answer

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4

Answer:

Yes

Yes

No

No

Step-by-step explanation:

Answer:

7.20

Step-by-step explanation:

Answer:

7.20 or 6.90

Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

An equation is an expression that shows the relationship between two or more numbers and variables.

A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:

Amount of molasses needed = 3 * (3/4) cup = 9/4 cups

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

Find out more on equation at: https://brainly.com/question/2972832

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

0.24

Step-by-step explanation:

1.679-1.439

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Answer:

The answer is B. 93

Step-by-step explanation:

186/2 is 93

Answer:

welp now i can add my answer although the other dude got it before me so yea other person is right

Step-by-step explanation:

Answer:

24 units

Step-by-step explanation:

Original perimeter:

5+4+3=12

When each side length is doubled, the original perimeter is doubled.

12*2=24

Answer:

if the length of each side is is doubled then

5×2 = 10

4×2 = 8

3×2 = 6

perimeter of new figure = 10 + 8 + 6

= 24 units

hope this helps good day mate

Answer:

66 m².

Step-by-step explanation:

From the question given above, the following data were obtained:

Diagonal 1 (d₁) = 11 m

Diagonal 2 (d₂) = 12 m

Area (A) =?

The area of a rhombus when the diagonals are given can be obtained as follow:

A = ½(d₁d₂)

A = ½ × (11 × 12)

A = ½ × 132

A = 66 m²

Thus, the area of the rhombus is 66 m²

Answer:

(3,1);(6,-2)

Step-by-step explanation:

I pretty much just looked at where they both intersected with each other and you'll get your answer.

Answer:

10, exponents, 10, expression

Step-by-step explanation:

Answer:

Linear Function

Step-by-step explanation:

I just took the test and got it right.

Answer:

175 /2

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the information given:

The probability distribution at the end of 6 months is determined as follows:

After 6 months;

Mean of probability distribution =  value of Initial cash  + [tex]\alpha[/tex]T  

=2.0 +(0.1 × 6)

=2.6

After 6 months;

The probability distribution's standard deviation is estimated by using the following formula:

Standard deviation:

[tex]= b\sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{6}[/tex]

= 0.9798

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            2.6

Standard deviation     0.9798

Variance                      0.96

After 12 months, the probability distribution is as follows:

Mean = value of Initial cash  + [tex]\alpha[/tex]T

= 2.0 +(0.1 × 12)

= 3.2

The standard deviation is:

The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{12}[/tex]

= 1.3856

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            3.2

Sandard deviation      1.3856

Variance                      1.92

b)  

in 6-month distribution, the probability of the negative value of the cash position is as follows.

Now, for us to find the negative cash distribution;

We need to estimate the z -scores value.

The z-score inform us greatly on the concept of how far a particular data point is from the mean.

For a normal distribution;

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

Here;

the value of x = zero as a result that if it exceeds zero. the cash position will be negative.

∴

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]

[tex]z = -2.6536[/tex]

Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.

As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.

For 12 months distribution:

The Probability of negative cash position is calculated as follows:

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]

Using the standard distribution tables,

N(-2.31) equals 0.0104 or 1.04 percent.

As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year  

c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]

This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.

To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.

The first step is to go over the z-score formula in more detail, as seen below.;

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]

Now, compute the derivative of this equation with respect to T as follows:

[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]

Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:

[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]

As a result, the time period in which achieving a negative cash condition is = 20 months.

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I hope you like it!

Answer:

Ava swam 203 more miles

Step-by-step explanation:

357-154=203

https://brainly.com/question/4184462

Answer:

the answer is B)

Step-by-step explanation:

edg2021 :>