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What is the value of the expression |5x+12| when x=5

Answers

Answer 1

Answer:

Answer:

|5x+12| when x=5

I5*5=12I

I37I

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

X=5

5x=(5×5)=25

25+12=37

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You can use both the t statistic and the z statistic to test hypotheses about the mean of population. The test that uses the t statistic is typically referred to as a t test, while the test that uses z statistic is commonly called a z test. Which of the following statements are true of the t statistic? Check all that apply. The t statistic uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator. The t statistic provides an excellent estimate of z, particularly with small sample sizes. The formula for the t statistic is t = (M – μ) / σM. The t statistic does not require any knowledge of the population standard deviation.

Answers

Using the concepts of the t-statistic and the z-statistic, it is found that the correct option is:

The t-statistic does not require any knowledge of the population standard deviation.

The z-statistic is given by:

$z = (X - \mu)/((\sigma)/(√(n)))$

In which:

X is the sample mean.
$\mu$ is the population mean.
$\sigma$ is the population standard deviation.
n is the sample size.

The standard error is $S_e = (\sigma)/(√(n))$ .

The t-statistic is similar to the z-statistic, the difference is that the sample standard deviation is used, not the population. Thus:

$t = (X - \mu)/((s)/(√(n)))$

In which:

X is the sample mean.
$\mu$ is the population mean.
$s$ is the sample standard deviation.
n is the sample size.
The standard error is $S_e = (s)/(√(n))$ .

For large sample sizes, the sample and population standard deviations are close, thus t is a good estimate of z.

Thus, the correct option is:

The t-statistic does not require any knowledge of the population standard deviation.

A similar problem is given at brainly.com/question/16194574

Answer:

Detailed elaborated answer is given below:

PLEASE HELP ME WILL MARK YOU IF YOU HELP(please answer all of them >_<)

Answers

Answer:

See below.

Step-by-step explanation:

Problem 2.

Left figure: 2 sides and included angle: SAS

Middle figure: 2 angles and included side: ASA

Right figure: 3 sides: SSS

Problem 3.

CPCTC = corresponding parts of congruent triangles are congruent

Need help please show how you did it.

Answers

Answer:

(0, 1).

Method 1 (Substitution):

Substituting our two y's, we get the following:

$x^2 + 5x + 1 = x^2 + 2x + 1 \Rightarrow 3x = 0 \Rightarrow x = 0$

Thus, the only set of solutions is (0, 1). A quick sketch (either by hand or on Desmos) can confirm this.

Method 2 (Elimination):

We have two equations. We'll let the top one be equation 1 and the bottom one be equation 2. Eliminating as many variables as we can, we subtract (2) from (1) to get:

0 = 3x => x = 0.

So the only set of solutions is (0, 1).

Method 3 (Gaussian elimination):

We can place this in an augmented matrix and row reduce.

$\left[\begin{array}{cccc}1&5&1 & 1\n1&2&1 & 1\end{array}\right]$

Row reducing this gives us:

$\left[\begin{array}{cccc}1&5&1 & 1\n0&3&0 & 0\end{array}\right]$

This tells us that the only solution for x is x = 0 (since we read this as "3x = 0") and thus, the only solution we get is (0, 1).

Ope Equationfy
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.

Answers

the equation of the line in slope-intercept form is:

y = (1/2)x - 2

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

From the graph, two points on the line are (-4, -4) and (4,0),

The formula for the slope of a line is:

m = (y₂ - y₁) / (x₁ - x₁)

where (x₁, y₁) and (x₂, y₂) are two points on the line.

Using the given points (-4, -4) and (4, 0), we can calculate the slope:

m = (0 - (-4)) / (4 - (-4))

m = 4 / 8

m = 1/2

Now that we know the slope, we can use the slope-intercept form of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

To find the y-intercept, we can use one of the givenpoints on the line. Let's use the point (-4, -4):

y = mx + b

-4 = (1/2)(-4) + b

-4 = -2 + b

b = -2

Therefore, the slope-intercept form of the line is y = (1/2)x - 2.

Learn more about Linear equations here:

brainly.com/question/11897796

#SPJ7

Answer:

Step-by-step explanation:

For point-slope form, you need a point and the slope.

y - y₁ = m(x - x₁)

Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/

-4 - 0 = -4

-4 - 4 = -8

-4/-8 = 1/2

The slope is 1/2. This cancels out choices C and D.

With the point (-4, -4), A is the answer.

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y, and z asâ€‹ variables, write the system of equations corresponding to the following matrix. If the system isâ€‹ consistent, solve it.left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column 2 2nd Row 1st Column 0 2nd Column 1 3rd Column negative 3 3rd Row 1st Column 0 2nd Column 0 3rd Column 1 EndMatrix Start 3 By 1 Table 1st Row 1st Column 4 2nd Row 1st Column 9 3rd Row 1st Column negative 2 EndTable right bracket

1 2 2
0 1 âˆ’3
0 0 1
4
9
âˆ’2
Which of the following system of equations corresponds to the givenâ€‹ matrix?

A.

x plus 2 y plus 2 zx+2y+2z

equals=44

y minus 3 zyâˆ’3z

equals=99

z

equals=minusâˆ’22

B.

2 x plus 2 y2x+2y

equals=44

negative 3 yâˆ’3y

equals=99

z

equals=minusâˆ’22

C.

2 x plus 2 y plus 4 z2x+2y+4z

equals=1

negative 3 y plus 9 zâˆ’3y+9z

equals=1

minusâˆ’z

equals=1

D.

x

equals=44

2 x plus y2x+y

equals=99

2 x minus 3 y plus z2xâˆ’3y+z

equals=minusâˆ’22

Select the correct choice below and fill in any answer boxes in your choice.

A.

The solution set is

StartSet nothing EndSet{}.

â€‹(Type an orderedâ€‹ triple.)

B.

The solution is the empty set.

Answers

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a RowEchelonForm, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\n0&1&3\n0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\n9\n-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

B) In a sunny day, the length of the shadow of a pole 30m long is equal to theof the pole. After a while, it is found to be 51.96m long, find the altitude of the sun in both cases.

Answers

When the shadow is 30 meters long, the angle of the sun is 45°.

When the shadow is 51.96 meters long, the angle of the sun is arctan(30/51.96) = 30°

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