which statement is true about the graphed lines

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer:

- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

The linear correlation coefficient of the data is: -0.96

Recall:

Thus, given:

Coefficient of determination of a set of data points = 0.93

Slope of the regression line = -5.26

Therefore:

R² = 0.93

R = √0.93

R = 0.96

Since the slope the regression line is negative, R will be negative in this case.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

c = 45 and e = 30

Step-by-step explanation:

Since we know that A = 45, B = 90, we can calculate C knowing that the total angle of a triangle is 180, so you do 180-45-90 = 45

Finding the angle C helps us find F by subtracting 45 from 180, since a straight line is 180 degrees, which is 135.

We know that E = 15, and what was said earlier about how the toal angle is 180 in a triangle, we can subtract 15 and 135 from 180, which is 30.

Hope that answers your question

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

answer

explanation

–7/5 * (–5/6)

7/5 * 5/6

7 * 1/6

= 7/6

as a mixed number = 1 1/6

as decimal form = 1.16…

Answer:

SU = 32 and <SVT = 32

Step-by-step explanation:

math, i am pretty sure about the angle and positive on the diagonal

The remaining material for sewing is 5/2 material.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given that, Keith buys 3 yards of material to make a blanket. He trims off a total of 1/6 yard before he begins sewing.

1/6 of 3 = 3x1/6 = 1/2

The remaining material = 3-1/2

= 5/2

Hence, The remaining material for sewing is 5/2 material.

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The computed probability of  P(X < 95) is P(X < 95) = P(Z < 1.25) = 0.8944 and the computed probability of P(57 < X < 75) is P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224.

As per the question given,  

To compute the probability P(X < 95), we need to standardize the value first:

z = (95 - 80) / 12 = 1.25

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 1.25 is approximately 0.8944. Therefore,

P(X < 95) = P(Z < 1.25) = 0.8944

To compute the probability P(57 < X < 75), we again need to standardize the values:

z1 = (57 - 80) / 12 = -1.92

z2 = (75 - 80) / 12 = -0.42

Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.92 and -0.42. This probability is approximately 0.2224. Therefore,

P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224

This chance is around 0.2224. Therefore, P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224

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Answer:

63360

Step-by-step explanation:

==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.

Answer:

There are 63,360 inches in one mile.

Step-by-step explanation:

We multiply by the conversion factor:

1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.

Order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

As given in the question,

Given expressions are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}\)

Arrange them in the order of smallest to largest by simplifying them,

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}\)

          = 0.5

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}\)

          =0.45

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}\)

           = -0.125

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}\)

            = -0.1128

-0.125 < -0.1128 < 0.45 < 0.5

Therefore, order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

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Nο, dοubling the time οf an investment dοes nοt necessarily dοuble the amοunt οf interest earned.

The amοunt οf interest earned οn an investment depends οn several factοrs, including the interest rate, the cοmpοunding frequency, and the principal amοunt.

If the interest rate and cοmpοunding frequency remain the same, then dοubling the time οf an investment will dοuble the amοunt οf interest earned. Hοwever, if the interest rate, cοmpοunding frequency, οr principal amοunt changes, then the amοunt οf interest earned will alsο change.

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The value of p is 8 by the law of exponents.

What is exponents?

The base b and the exponent, or power, n, are used in the mathematical operation known as exponentiation. Its symbol is Bn, and its pronunciation is "b to the n."

An exponent is the number of times a number has been multiplied by itself. For instance, the phrase 2 to the third, which is represented as 23, means 2 to the power 3, 2 x 2 x 2 = 8, not 23, and 2 x 3 = 6, respectively.

Remember that every number multiplied by one is equal to itself. Exponents are a technique of expressing extremely large numbers in terms of powers.

The number of times a number has been multiplied by itself is the exponent, so to speak.

Given that,

9^p/9^5 = 9^3

By laws of exponents and power,

Here, p - 5 = 3

         p = 3 + 5

         p = 8

The value of p is 8 by the law of exponents.

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Step-by-step explanation:

1. 45/5 = 9

2. 53 is not a multiple of 5

3. 164 - 20 = 144

4. 372 rounded is 400.

5. 5 edges

6. 382 + 200 = 582

7. 6500 meters

8. -6

9. 65 cm

10. 90/2 = 45

11. idk since i live in us

12. 8 * 3 = 24

13. July 30th

14. 6

15. 28

16. 2.5 * 3 = 7.50

Answer:

The transaction amount for 3: -155.15

The transaction amount for 4: -223.75

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

if you were to look on a grid the slope would point up

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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Answer:

Step-by-step explanation:

77*5=385

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

Step-by-step explanation:

Let the length of one side of the square base be x

Let the height of the box by y

Volume of the box V = x²y

Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy

S = x² + 4xy

Given

S = 7500sq in.

Substitute into the formula for calculating the total surface area

7500 = x² + 4xy

Make y the subject of the formula;

7500 - x² = 4xy

y = (7500-x²)/4x

Since V = x²y

V = x² (7500-x²)/4x

V = x(7500-x²)/4

V = 1/4(7500x-x³)

For us to maximize the volume, then dV/dx = 0

dV/dx = 1/4(7500-3x²)

1/4(7500-3x²) = 0

(7500-3x²) = 0

7500 = 3x²

x² = 7500/3

x² = 2500

x = √2500

x = 50in

Since y = (7500-x²)/4x

y = 7500-2500/4(50)

y = 5000/200

y = 25in

Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.

The Volume of the box V = 50²*25

V = 2500*25

V= 62,500in³

Hence the maximum volume is 62,500in³

Answer:

x = 43

Step-by-step explanation:

Answer:

Step-by-step explanation:

W

Answer:

x = 12

Step-by-step explanation:

There are 8 data in total.

The mean is 15, so that

\( \frac{23 + 15 + 8 + x + 26 + 5 + 22 + 9}{8} = 15 \\ \frac{108 + x}{8} = 15 \\ 108 + x = 120 \\ x = 12\)

Statement (A) is true, Statement (B) is false, Statement (C) is true, Statement (D) is true and Statement (E) is false.

The given information is that P(odd) = 1/3

where odd numbers are 3 and 5, and there are two odd-numbered sections out of six equal sections.

(A) The probability of landing on an odd-numbered section is not exactly 33.33%, but approximately equal to 33.33% or 1/3.

So, statement (A) is true.

(B) The probability of landing on an even-numbered section is not exactly 66.67%, but approximately equal to 66.67% or 2/3.

So, statement (B) is false.

(C) The probability of landing on an odd-numbered section is given as 1/3, which is less than the probability of landing on an even-numbered section, which is 2/3. Therefore, statement (C) is true.

(D) It is given that one of the sections is numbered 6. So, it is not impossible to land on 6. Therefore, statement (D) is false.

(E) To determine if the spinner is fair, we need to know the probability of each outcome, which is not provided in the given information. Therefore, we cannot determine if the spinner is fair or not based on the information given. So, statement (E) is uncertain.

Therefore, the true statements about this game are (A), (C), and (D).

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The multiplication expression with eight rational factors are ''positive''.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.

Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.

Hence, The multiplication expression with eight rational factors are positive.

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Answer:

its c

Step-by-step explanation: