Algebra
Solve for k: 10-10|-8k+4|=10
Write your answer in set notation.

Answer:

<YXZ and <TUS

Step-by-step explanation:

An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.

Therefore, the only pair of angles from the given options that flare alternate exterior angles are:

<YXZ and <TUS

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1

The answer of the product 0.13 x 0.48 is 0.064.

What is multiplication of decimals?

To multiply decimals, multiply first as though there were no decimal. Then, determine how many digits follow the decimal in each factor. the same number of digits should also be added to the product's decimal place.

Every day, we deal with decimals when calculating length, weight, and other variables. When whole numbers are insufficient to provide the level of precision needed, decimal numbers are used.

Consider,

     0.13

 x  0.48

First we can multiply the numbers 13 and 48.

13 x 48 = 624

There are 4 decimals in two numbers.

So, we can add this decimal to the product.

⇒ 0.13 x 0.18 = 0.0624

Hence, the answer of the product 0.13 x 0.48 is 0.064.

To know more about decimal multiplication, click on the link

https://brainly.in/question/26930257

#SPJ1

Answer:

C. 5/12

Step-by-step explanation:

Finding the missing side :

Taking the tan ratio :

Given:

Kyzell is traveling 15 meters per second

we need to convert meters per second to kilometers per hours

As we know:

1 km = 1000 meters

So, 1 meters = 1/1000 kilometers

And, 1 Hour = 60 minutes = 3600 seconds

So, 1 seconds = 1/3600 Hours

So,

So, the answer will be:

15 meters per second = 54 kilometers per hour

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

Read more about equation at

https://brainly.com/question/32492977

#SPJ1

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:

12.60

Step-by-step explanation:

To find the tip, take the amount of the bill and multiply by 30%

42 * 30%

Change to decimal form

42 * .30

12.6

Answer:

12.6%

Step-by-step explanation:

12.6% is 30 percent of the bill

Step-by-step explanation:

y=x-2....eqn1

x+y=12.....eqn2

now,

from eqn 1

y= x-2

again, putting value of y in eqn 2

in eqn 1

hope it helps..

\((\stackrel{x_1}{-7}~,~\stackrel{y_1}{-34})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-34)}=\stackrel{m}{ 5}(x-\stackrel{x_1}{(-7)}) \implies y +34= 5 (x +7) \\\\\\ y+34=5x+35\implies {\Large \begin{array}{llll} y=5x+1 \end{array}}\)

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

To learn more on differential equations: https://brainly.com/question/14620493

#SPJ1

Answer:

187/6

Step-by-step explanation:

Simplify the following:

(7 + 1/4) 2^2 + (8 + 1/2 - 2)/3

2^2 = 4:

(7 + 1/4) 4 + (8 + 1/2 - 2)/3

Put 7 + 1/4 over the common denominator 4. 7 + 1/4 = (4×7)/4 + 1/4:

(4×7)/4 + 1/4 4 + (8 + 1/2 - 2)/3

4×7 = 28:

(28/4 + 1/4) 4 + (8 + 1/2 - 2)/3

28/4 + 1/4 = (28 + 1)/4:

(28 + 1)/4×4 + (8 + 1/2 - 2)/3

28 + 1 = 29:

29/4×4 + (8 + 1/2 - 2)/3

29/4×4 = (29×4)/4:

(29×4)/4 + (8 + 1/2 - 2)/3

(29×4)/4 = 4/4×29 = 29:

29 + (8 + 1/2 - 2)/3

Put 8 + 1/2 - 2 over the common denominator 2. 8 + 1/2 - 2 = (2×8)/2 + 1/2 + (2 (-2))/2:

29 + ((2×8)/2 + 1/2 + (2 (-2))/2)/3

2×8 = 16:

29 + (16/2 + 1/2 + (2 (-2))/2)/3

2 (-2) = -4:

29 + (16/2 + 1/2 + (-4)/2)/3

16/2 + 1/2 - 4/2 = (16 + 1 - 4)/2:

29 + ((16 + 1 - 4)/2)/3

16 + 1 = 17:

29 + ((17 - 4)/2)/3

| 1 | 7

- | | 4

| 1 | 3:

29 + (13/2)/3

13/2×1/3 = 13/(2×3):

29 + 13/(2×3)

2×3 = 6:

29 + 13/6

Put 29 + 13/6 over the common denominator 6. 29 + 13/6 = (6×29)/6 + 13/6:

(6×29)/6 + 13/6

6×29 = 174:

174/6 + 13/6

174/6 + 13/6 = (174 + 13)/6:

(174 + 13)/6

| 1 | 7 | 4

+ | | 1 | 3

| 1 | 8 | 7:

Answer: 187/6

Answer:

31 1/6

Step-by-step explanation:

7 1/4 × 2²+(8 1/2-2)÷3

Using PEMDAS

Parentheses first

7 1/4 × 2²+(6 1/2)÷3

Then exponents

7 1/4 × 4+(6 1/2)÷3

Changing the mixed numbers to improper fractions

7 1/4 = (4*7+1)/4 = 29/4  and ( 2*6+1)/3 = 13/2

29/4 × 4+(13/2)÷3

Multiply and divide from left to right

29 + 13/2÷3

Using copy dot flip

29 + 13/2 * 1/3

29 + 13/6

Changing back to a mixed number

13/6 = 12/6 + 1/6 = 2 1/6

29 + 2 1/6

Add

31 1/6

Answer:

2x2+x+5

Step-by-step explanation:

Answer:

use photomath it helps a lot

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

To know more about Original .

https://brainly.com/question/27960093

#SPJ11

Answer:

7

Step-by-step explanation:

The maximum amount of time that the draining can continue is 40/6 = 6.67 minutes (rounded to two decimal places).

To write a formula for the amount of water left in the tub, we need to understand how the water is being drained. Since we are given the rate of draining,

we can use that information to come up with the formula.The rate of draining is 6 gallons per minute, so we can represent the amount of water left in the tub as:

40 - 6tWhere t is the time in minutes. The amount of water in the tub decreases as time goes on, so we need to subtract the amount that is drained (6t) from the initial amount (40) to get the amount of water left.

In order to calculate the amount of water left after a certain amount of time, we can plug that time into the formula.

For example, if we want to know how much water is left after 10 minutes of draining, we can substitute t = 10 into the formula:40 - 6(10) = 40 - 60 = -20

This result doesn't make sense because we can't have a negative amount of water in the tub. This means that the formula is only valid for times when there is still water left in the tub. After that time, all the water will be drained.

To learn more about : amount

https://brainly.com/question/24644930

#SPJ8

For calculation of the following entries, the bond interest expense will gotten by multiplying the carrying bond value by the market interest rate.

Date    Account titles                   Debit        Credit

Jan. 1.  Cash                                $407,968

                 Bonds payable                           $380,000

                 Premium on bonds payable      $27,968

                 ($407,968 - $380,000)

Date      Account titles                          Debit      Credit

Dec. 31. Bond interest expense          $24,478

                    Premium bond payable                    $2,122

                    Bond interest payable                      $26,600

Date    Account titles                   Debit        Credit

Jan. 1.  Bond interest payable     $26,600

           ($380000 * 7%)

                   Cash                                            $26,600

Missing words "Prepare journal entries to record (a) The issuance of the bonds, (b) The accrual of interest and the premium amortization on December 31, 2022 and (c) The payment of interest on January 1, 2022"

Read more about Bond issuance

brainly.com/question/16048929

#SPJ1

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

https://brainly.in/question/13325111

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer: 22%

Step-by-step explanation: 454- 353= 101

101/454= 22%

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

⅓

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

3(6+4)

Step-by-step explanation:

To answer this question, we need to rewrite the second equation as follows:

If we add -2y to both sides of the equation, we have:

Now, we have the following equivalent system:

The main goal of the elimination method is to cancel one of the variables when we add or subtract the two equations.

To solve this system by elimination, we can multiply the first equation by -2 and then add the result to the second equation:

Then we have:

Now, if we divide both sides of the equation by -3, we have:

Therefore, x = -3.

To find the value of y, we can substitute the value of x = -3 into the first equation as follows:

To find y, we can add 12 to both sides of the equation:

If we multiply by -1 to both sides of the equation, we have:

Therefore, the value for y = -8.

To check if both values are the solutions for the linear system of equations, we can substitute both values into the original equations as follows:

• x = -3

• y = -8

Then

The results in both cases are true. Therefore, the solutions are correct.

In summary, we have that the solutions using the elimination method are x = -3, and y = -8.

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

Know more about the cylinder:

https://brainly.com/question/23935577

#SPJ1

After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

To learn more about subtraction, refer: https://brainly.com/question/17301989

#SPJ9