Car A travels 221.5 km at a given time, while car B travels 1.2 times the distance car A travels at the same time. What is the distance car B travels during that time?

Answer:

A

Step-by-step explanation:

Part A, A. Kari, because the mean and median of her scores is, 84.5.

Part B, Jocely will see a greater increase overall as her previous average is less.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

From the given information, The average score of Jocelyn is,

= (86 + 87 + 95 + 72 + 78 + 80)/6.

= 83.

And Similarly, The average score Kari is,

= (88 + 78 + 93 + 81 + 75 + 91)/6.

= 84.5.

Therefore, Kari scores better overall.

If they both get 90% on their next math quiz Jocely will see a greater increase overall as her previous average is less.

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The probability of getting a sum of 5 when rolling 3 dice is approximately 0.0972

To find the probability of getting a sum of 5 when rolling 3 dice, we can use the concept of generating functions. The generating function for rolling a single die is:

(x + x^2 + x^3 + x^4 + x^5 + x^6)

To find the generating function for rolling 3 dice, we can simply multiply the generating functions for a single die together:

(x + x^2 + x^3 + x^4 + x^5 + x^6)^3

We are interested in finding the coefficient of the x^5 term in the expansion of this generating function, since this represents the number of ways we can roll 3 dice to get a sum of 5.

We can simplify the problem by using symmetry. The generating function for rolling a single die is symmetric around the term x^3. Therefore, we can rewrite the generating function for 3 dice as:

(x^3 + x^4 + x^5 + x^6 + x^7 + x^8)^3

Now we just need to find the coefficient of the x^2 term in this simplified generating function. Therefore, the number of ways to roll 3 dice to get a sum of 5 is:

C(5+3-1,3-1) = C(7,2) = 21

The total number of possible outcomes when rolling 3 dice is 6^3 = 216, since each die can have 6 possible outcomes. Therefore, the probability of getting a sum of 5 when rolling 3 dice is:

21/216 = 0.0972 (rounded to four decimal places)

So the probability of getting a sum of 5 when rolling 3 dice is approximately 0.0972, or about 9.72%.

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The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Answer:

8494.87 is the actual answer but the rounded version is 8494.9

Step-by-step explanation:

3.142×52^2=8494.866535

8494.9 nearest tenth

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Answer:

base = 19.1 km

Step-by-step explanation:

start with formula:

A = bh/2

plug in what's known:

114.6 = 12b/2

114.6 = 6b

b = 114.6/6

b = 19.1

Answer:

c 7/20

Step-by-step explanation:

because I used a calculator

Answer:

FV= $38,735.32

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Number of periods= 18*12= 216 months

The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.

Monthly interest rate= 0.06/12= 0.005

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^216) - 1]} / 0.005

FV= $38,735.32

Answer:um it dose not show the thing i downloded  the file if u  try again i will anser it for  tho

Step-by-step explanation:

Answer:

f (x) = -60x + 500

Step-by-step explanation:

After 1 month : 500 - 40 x 1

After 2 month:  500 - 40x 2

After 3  month: 500 - 40 x 3

After x month: 500 - 40x

Therfore: f (x) = -40x + 500.. xe[0,8]

                                                {500 - 40x > , 0 }

                                                                    x  ≤ 8

Charity has $420 after 2 months based on the given function

The explanation of the function f(x) = -40x + 500,

Which models how much money Charity has after x months:

The coefficient -40 represents the amount of money Charity spends each month.

The constant term 500 represents the amount of money the Charity has at the start.

The function f(x) = -40x + 500 can be interpreted as Charity has an amount after x months if she starts with $500 and spends $40 each month.

For example, if x = 1, then

f(1) = -40 * 1 + 500 = 460,

Which means Charity has $460 after 1 month.

Similarly, if x = 2, then

f(2) = -40 * 2 + 500 = 420,

This means Charity has $420 after 2 months

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The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

x-2y= -8

Step-by-step explanation:

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

Answer:

Step-by-step explanation:

Mike's speed:

Son's speed:

Speed of both together:

They can build 1/2 wall in an hour

or

Build a wall in 2 hours

Answer:

c) The Z-score = - 1.90 unusual

Step-by-step explanation:

Explanation:-

Let 'X' be the random variable in normal distribution

Given student received a score X = 50

Mean of the Population x⁻ = 69

standard deviation of the Population 'σ' = 10

now

\(Z = \frac{x^{-}-mean }{S.D}\)

\(Z = \frac{x^{-}-mean }{S.D} = \frac{50 -69}{10} = - 1.90\)

The Z-score = - 1.90

Conclusion:-

The Z-score = - 1.90 unusual

Answer: The Z-score = - 1.90 unusual

Step-by-step explanation:

Answer:

it should be option A

and in option there should be "x" instead of "*"

Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle below is centered at the point (-1, 2) and has a radius of length 3.

Now, We get;

The equation of circle is,

⇒ (x - (- 1))² + (y- 2)² = 3²

⇒ (x + 1)² + (y - 2)² = 9

Thus, Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

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Recall that function f(x) streched by a factor k has the form kf(x), then:

Substituting f(x)=x² we get:

PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

Answer:

If your talking about Brainly ranks then you go up in rank by answering questions. Mind you the questions need to be correct. By recieving ratings, thanks, and brainliest you can up the ranks

Step-by-step explanation:

So go answer some questions!

There are no specific requirments to acheive things like genius rank. You just have to aanswer questions. Soon you will get to the point of a genius rank.

Look at my attached image

Hope that helped!

Answer:

two are supplementary. the measure of one of these angles is 12 degrees less than one-third the measure of the other.what is the measure of each angle

Let's call the measures of the two angles x and y, where x is the larger angle. We know that the two angles are supplementary, which means they add up to 180 degrees:

x + y = 180

We also know that one of the angles (let's say y) is 12 degrees less than one-third the measure of the other angle (x):

y = (1/3)x - 12

Now we can substitute the second equation into the first equation to solve for x:

x + (1/3)x - 12 = 180

Multiplying both sides by 3 to get rid of the fraction, we have:

3x + x - 36 = 540

Combining like terms, we get:

4x - 36 = 540

Adding 36 to both sides, we get:

4x = 576

Dividing both sides by 4, we get:

x = 144

Now we can use the first equation to solve for y:

144 + y = 180

Subtracting 144 from both sides, we get:

y = 36

Therefore, the measures of the two angles are 144 degrees and 36 degrees.

The sum of the sides of a regular polygon is 96ft, find the measure of it side.

Let's say that the regular polygon has n sides, and each side has length s. The formula for the sum of the sides of a regular polygon is:

sum of sides = n * s

We know that the sum of the sides is 96ft, so we can write:

96 = n * s

We want to find the length of each side, so we need to isolate s on one side of the equation. We can do this by dividing both sides by n:

s = 96/n

Now we can substitute this expression for s into the formula for the perimeter of a regular polygon:

Perimeter = n * s

Perimeter = n * (96/n)

Simplifying this expression, we get:

Perimeter = 96

We know that the perimeter of a regular polygon is the sum of the lengths of all its sides, so we can divide the perimeter by the number of sides to find the length of each side:

s = Perimeter / n = 96 / n

Therefore, the length of each side of the regular polygon is 96/n feet. We cannot determine the value of n from the given information in the problem.

a. the total number of different passcodes possible if the digits can be repeated is 10⁶

b. the total number of different passcodes possible is 151,200.

The possibility or chance of an event occurring is measured by probability. It is stated as a number between 0 and 1, where 0 denotes an impossibility (i.e., an event that won't happen) and 1 denotes a certainty (i.e., an event that will happen) (i.e., an event that will always occur).

a. Since there are 10 digits (0-9) that can be used for each digit in the passcode, there are 10 options for each of the six digits.

Therefore, the total number of different passcodes possible if the digits can be repeated is 10⁶, which is equal to 1,000,000.

b. If the digits cannot be repeated, there are 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and so on.

Therefore, the total number of different passcodes possible is 10x9x8x7x6x5, which is equal to 151,200.

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Answer:

12 months

Step-by-step explanation:

Set up a formula; 75 + 15x = 255

Now, solve for x, which is number of months.

subtract 75 from both sides.

15x = 180

divide both sides by 15.

x = 12

x is equal to 12 - she would have had to have the subscription for 12 months to spend 255$.

9514 1404 393

Answer:

  a = -19

Step-by-step explanation:

In the first set of equations, subtract 4 times the second equation from the first.

  (x -8y) -4(5x -2y) = (-3) -4(4)

  -19x = -19 . . . . simplify

Comparing this to the equation ...

  ax = -19

we see that they will have the same solution when a = -19.

The volume of the given figure above would be = 4,095 yards³.

To calculate the volume of the given figure, it is first divided into two giving rise to a rectangular prism and a trapezoidal prism.

The volume of a rectangular prism= length×width×height

where;

length= 30yrds

width= 9 yards

height= 7 yards

volume= 30×9×7 = 1,890yards³

The volume of a trapezoidal prism= ½(a+b)×h×l

where;

a= 19yd

b= 30yd

h= 10yd

l= 9 yd

volume= ½(19+30)×10×9

= 49×5×9

= 2,205yards³

Therefore, the total volume of the figure would be ;

= 1,890+2,205

= 4,095 yards³

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Answer:

C

Step-by-step explanation:

Since C is the largest half, then C is part of the largest whole.

Answer: C

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)