I need help with this question also

Step-by-step explanation:

because 0.25 = 1/4.

so, it is actually

82.5 + 8×(1/4)x = 338.5

which is then simplified

82.5 + (8/4)x = 338.5

82.5 + 2x = 338.5

Step-by-step explanation:

\(\displaystyle\\8(0.25x)=8(\frac{25}{10}x)=\frac{8*25}{100} x=\frac{200}{100}x=2x\)

Thus, 82.5+8(0.25x)=338.5  ≡  82.5+2x=338.5

On solving the question - Use the z distribution if the population variances are known; if not, use the -tdf distribution.

A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.

The difference between the mean and the mean squared is known as the variance, and the standard deviation is the square root of that difference. Although in different units, both measurements capture the distribution's variability. The same units are used to express standard deviation and the original value.

Use the z distribution if the population variances are known; if not, use the -tdf distribution.

To know more about population variance visit:
https://brainly.com/question/13708253

#SPJ4

Answer: -210 is your answer

Step-by-step explanation:

I took the test and worked it out

Answer: -210

Step-by-step explanation: remembered answering this question once and -210 was the right answer

The solids have the same volume.

Volume is the measure of the capacity that an object holds.

Volume of triangular prism be

= Base area * height

= 12*10

=120 cm³

Volume of rectangular prism be,

=10*3*4

=120 cm³      

Learn more about volume here:      

https://brainly.com/question/1996004

#SPJ1

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

44

Step-by-step explanation:

vertical angles

Answer:

6.0000000000351 Miles per hour

Step-by-step explanation:

Answer:

72% are black haired - 5 students becomes 65% students are black haired.

meaning 7% are 5 students

Base = Percentage/Rate

Base = 5/0.07

Base = 71 students

71 (students) * 0.72 (rate of black haired) = 51

51 - 5 (leave the class) = 46 students

71 (students) * 0.65 (rest of black hair) = 46 students

Step-by-step explanation:

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

<95141404393>

Answer:

Step-by-step explanation:

4x2 - 8x -12 = 0

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer:

B IS THE ANSWER

Step-by-step explanat

(22x2 -  8x) -  12  = 0

  4x2 - 8x - 12  =   4 • (x2 - 2x - 3)

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1  

                    x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-3)

            Which is the desired factorization

4 • (x + 1) • (x - 3)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately  

Any solution of term = 0 solves product = 0 as well.

  Solve  :    x+1 = 0

Subtract  1  from both sides of the equation :  

                     x = -1

   Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Answer:

8

Step-by-step explanation:

40 x 0.20

= 8

Answer:

800

Step-by-step explanation:

Multiples of 100 to 1000:

100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.

|___________________________|         |________|

                These dont match the given criteria.

800 is greater than 758 and less than 893.

Hope that helps

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

Check this out-

https://brainly.com/question/29192128?referrer=searchResults

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

Find out more on income tax at https://brainly.com/question/20704728

#SPJ1

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

For more question on return visit:

https://brainly.com/question/30761579

#SPJ8

Answer:

2h4o

Step-by-step explanation:

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

More about the equation of the circle link is given below.

https://brainly.com/question/10618691

#SPJ1

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

For similar question on fraction.

https://brainly.com/question/30154928  

#SPJ8

Answer:

B. Dependent, 1/70

Step-by-step explanation:

The probability that the first pencil is yellow is 10/50.

There are now 49 pencils, so the probability that the second pencil is blue is 7/49.

There are now 48 pencils, so the probability that the third pencil is red is 24/48.

The total probability is (10/50) (7/49) (24/48) = 1/70.

Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.

Given the inequality, we first can look at the intercepts in the x-axis and the y-axis. We can find them like this:

Now that we have the two points (-6,0) and (0,3), we can make the graph of the line:

Now, to determine the inequality, we look at the point (0,0) and use it on the inequality:

Since we found that the point (0,0) fits in the inequality, this must mean that the point (0,0) must be on the side of the solution, therefore, the graph of the inequality would be like this:

The experiment is not a binomial experiment.

A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.

The conditions for a binomial experiment include:

1. Each trial should be classified either as a success or a failure.

2. There are a fixed number of observations

3. The trials are independent.

4. The number of trials are fixed.

To learn more about binomial experiments, please check: https://brainly.com/question/25868945

#SPJ1

Answer:

\( RT = 1.1 \)

Step-by-step explanation:

Distance between R(3, 1.3) and T(3, 2.4):

\( RT = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( RT = \sqrt{(3 - 3)^2 + (2.4 - 1.3)^2} \)

\( RT = \sqrt{(0)^2 + (1.1)^2} \)

\( RT = \sqrt{0 + 1.21} = \sqrt{1.21} \)

\( RT = 1.1 \)

Answer:

D. x>5

Step-by-step explanation:

\(3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5\)

Answer:

10 ; 22

Step-by-step explanation:

Ghana = G

Cameroon = C

Cameron only = 8

Ghana only = 12

Total sampled = 40

Both Ghana and Cameroon = x

Not traveled to either = 10

Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either  = total sampled

12 + 8 + x + 10 = 40

30 + x = 40

x = 40 - 30

x = 10

Number that had gone to Ghana before :

Ghana only + both

12 + x

12 + 10

= 22

Answer:

Step-by-step explanation: