What is the solution to the system of linear equations?

Answer:

Step-by-step explanation:

1 and 3 are vertical angles so m∠1 = m∠3

(4x - 2)° = 62°

4x - 2 = 62

4x = 64

x = 16

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer:

You have to make sure you switch C to the new answer in the calculator or else it doesn't work you big goof! (Don't worry, we're friends)

Step-by-step explanation:

Merry Christmas to you too pal!

Answer:

12pm

Step-by-step explanation:

7:30am + 4 hours and 30 minutes = 12 pm

Answer:

Well, assuming that they just drove for four and half hours straight, without the train stopping for any reason, they would arrive at 12:00pm

7 + 4  = 11

30 + 30 = 60, and since that 60 is an hour then...

11 + 1 = 12

Hope this helps(:

For moviegoers who are younger than 12 years old, the ticket price is a fixed amount of $5. This is represented by the first rule of the piecewise function

For moviegoers who are 12 years old or older, but younger than 55, the ticket price is also a fixed amount, but this time it is $9. This is represented by the second rule of the piecewise function

For moviegoers who are 55 years old or older, a special rate is available, and the ticket price is $7. This is represented by the third rule of the piecewise function

So, for a 16 year-old, the ticket price would be $9.

For a 12 year-old, the ticket price would also be $5.

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Answer:

30

Step-by-step explanation:

to find 10%, find 100% first

because we know what 25% is, the easiest way we can work this out is multiply 25% by 4

so:

\( 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300\)

this means that 100% is 300.

now to find 10% all we have to do is divide the number by 10.

\(300 \div 10 = 30\)

so 10% is 30

to check we're right, we make sure that 25% and 10% = 35%

75 + 30 = 105, meaning our percentages are correct

Answer:

1781.55 i thing but try with this answer

Step-by-step explanation:

5 equilateral triangles.

Hope this helps.

∠BCE is drawn, line segment CA is drawn,  Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that Circle C is inscribed with 5 lines

Point C is at the center of the circle

3 lines come out of point C and make points D, A, and B on the edge of the circle.

Another line comes out of point C and goes past the edge to point E.

For ∠ABC

The geometric figure is not drawn.

For ∠BCE

The geometric figure is drawn.

For line segment CA

The geometric figure is drawn.

For Ray CA

The geometric figure is drawn.

For Circle C

The geometric figure is drawn.

For Ray BE

The geometric figure is not drawn.

For Line segment AE

The geometric figure is not drawn.

Hence,  ∠BCE is drawn, line segment CA is drawn,  Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.

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After using the linear equation - The smaller number is 7, and the greater number will be 23.

what is the substitution method?

Mathematicians frequently use the substitution method to resolve an equation system. With this method, you solve the equation for the first variable first, and then plug the answer into the second equation.

what is a linear equation in two variables?

When an equation is written in the form axe + by + c=0 and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero and the greater of the two numbers is four times the smaller number minus 5, that equation is said to be linear in two variables.

Let's assume that "x" is the smaller number, making "4x-5" the greater number. The requirement that the difference between the two numbers be 16 is also included.

thus,

4x - 5 - x = 16
3x -5 = 16
3x = 16 +5
3x =21
x = 21/3
x = 7
for the second number
4x-5
=4(7)-5
=28-5
=23

hence the smaller number is 7, and the greater number will be 23.

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Answer:

-4y-7

Step-by-step explanation:

- 4 y - 4 + ( - 3 )

We keep the -4y as it is since it can not be simplified. Then we try to open the parentheses. we do this by multiplying by 1.

- 4 y - 4 + 1 * ( - 3)

= - 4 y - 4 - 3

Then we combine the - 4 and -3.

= - 4 y - 7

Answer: I can confirm that it is '-4y-7'

Step-by-step explanation:

Answer:

V = πr²h

Step-by-step explanation:

r = radius of circle

h = height of cylinder

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.

Answer:

Larger number=21

Smaller number=20

Step-by-step explanation:

20+21=41

21-20=1

Answer:

1 is yes, 2 is no because 1 and 3 repeat, which means that 2 Y-Values would get the x-value of 1 and 3, and x cannot have 2 different values.

Step-by-step explanation:

Answer:

Dont know

Dont know

Dont know

Dont know dont know dont knowwwwwwwwwwwwwww

Answer:

Step-by-step explanation:

28 total students

12 are girls

16 are boys

the question is, what percent of 28 is 16

b/c that's how likely it would be to pick a boy in a random pick

16/28=0.571428

so about 57 %

or 57 out of 100

Answer: 16/28 or 8/14 or 57%

* they all are equal so it doesn’t matter with of the three you pick *

Steps:

28 - 12 = 16

16/28 = .5714

57.14%

57%

Answer: 3x-x+2=4

Step-by-step explanation:

12/X=3/6 CROSS MULTIPLY.

3X=12*6

3X=72 X=72/3 X= 24 FEET TALL.

Answer:

Ms. Davis=83 years

Her mom=126.33 years

Her daughter=66.67 years

Step-by-step explanation:

Let her mother's age=x

Ms. Davis= 7 dozens - 1

=(7*12)-1

=84-1

= 83 years

Ms. Davis= 7.2 + 60% of x

83=7.2 + .6x

83 - 7.2= .6x

75.8= .6x

Divide both sides by .6

75.8 / .6 = x

126.33 years

Ms. Davis daughter = 3.5 + 1/2 of x

=3.5 + 1/2(126.33)

=3.5 + 126.33 / 2

=3.5 + 63.165

=66.665

Approximately 66. 67 years

The initial amount is worth $ 1538.46

Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any additional interest that may be added over time.

Simple interest is calculated as a percentage of the principal amount and is usually expressed as an annual rate.

The formula to calculate simple interest is:

Simple Interest = Principal x Rate x Time/ 100

Here we have

You are going to receive $2,000 in 6 years from now

The annual simple interest rate is 5%

Let 'P' be the initial or principal amount

Using the formula, I = PTR/100

Simple interest will gain on 'P' at 5% for 6 years

=> I = P(6)(5)/100  

=> I = 0.3P

And total amount = P + 0.3P = 1.3P

It is given that after 6 years we get $ 2000

=> 1.3P = 2000

=> P = 1538.46

Therefore,

The initial amount is worth $ 1538.46

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The fraction nonconforming for this sample is 0.112, or 11.2%.

This is the value that the QC inspector can use to create a p-chart for analyzing the gears' non-conformance.

To calculate the fraction nonconforming, we'll use the following formula:
Fraction nonconforming = Number of nonconforming items / Total sample size
In this case, the number of nonconforming items is 28 gears, and the total sample size is 250 gears.

Now, let's plug in the numbers:
Fraction nonconforming = 28 / 250
Now, we'll divide 28 by 250:
Fraction nonconforming = 0.112

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Answer:

the answer is 30

Step-by-step explanation:

hight x base²

Answer:

AS =282.7cm²

Step-by-step explanation:

SA = 3.14×r×L +3.14×r²

L²=5²+12²

L=13)

= 3.14×5×13 + 13.4x5²

AS=282.7cm²

Answer:

(-2, 3)

Step-by-step explanation:

For x-4 you go left four places and y+6 go up 6 places

Answer:

(-2, 3)

Step-by-step explanation:

Point P has coordinates (2, -3).

The translation is (x - 4, y + 6) which means subtract 4 from the x-coordinate and add 6 to the y-coordinate.

The x-coordinate of point P is 2. Subtract 4 from it, you get -2.

The y-coordinate of point P is -3. Add 6 to it to get 3.

The coordinates of the translated point are (-2, 3).

Answer:

Step-by-step explanation:

It's 18 dollars per guest with 54:3

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

There will be 2 groups of 2

Step-by-step explanation:

2people=1group

5-2=3people

There are 3 people left because two of them went into a group.

2people=1group

3-2=1

There is only one person left and you cant split one person in half so the answer is 2.

A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.

Since 6 and 7 don't have common factors, the ratio 6:7 cannot be simplified further.

So the ratio for gray to blue keys is 6:7.

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful