(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?

5 units
6 units
10 units
25 units
The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?

Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

The solution to the expression 4+(−634) is -630

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

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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Answer:

x = 17

Step-by-step explanation:

Answer:

1 hour or 60 minutes

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Answer:

Step-by-step explanation:

its c don't pick any other answers only c

According to the operation done by Sylvi, the correct expression is 4.75 × 3.25 = 15.4375. Hence, option (c) is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the operation given in the question,

15.4375 ÷ 3.25 = 4.75

As per the rules, if a number is in the division on the left-hand side, after going to the right-hand side it will become in the form of multiplication with another number.

Then,

4.75 × 3.25 = 15.4375.

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Answer:

18

Step-by-step explanation:

First, we know that the total is equal to 100%. We then know that 14 students make up 43.75%, and eight grade students make up the rest, at 100-43.75=56.25%.

One way we can figure this out to find how many students make up each percent. To find this, we can simply divide the number of students (14) by their percent (43.75) to get 14 students/43.75 percent = 0.32 students per percent. We can then multiply this by 56.25 to get 18 as our answer for the number of eight graders.

Answer: 18

Step-by-step explanation:

14/43.75% = 0.32

56.25 × 0.32 = 18

Therefore, 18 is the answer to this equation.

The man worked approximately 10 hours of overtime that week.

Let's assume the man worked "x" hours of overtime.

Regular hours = 36

Overtime hours = x

Total hours worked = Regular hours + Overtime hours = 36 + x

Regular pay = $10.49 per hour

Overtime pay = $15.74 per hour

Total pay = Regular pay + Overtime pay

$535.04 = ($10.49 × 36) + ($15.74 × x)

Now, let's solve this equation to find the value of x:

535.04 = $377.64 + (15.74x)

Subtracting 377.64 from both sides:

535.04 - 377.64 = 15.74x

157.40 = 15.74x

Dividing both sides by 15.74:

157.40 / 15.74 = x

x ≈ 10

Therefore, the man worked approximately 10 hours of overtime that week.

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For the given statements the correct answer is B |6| > |−8| and C |−8| < |3|.

What is statement?

In mathematics, a statement is a declarative sentence that is either true or false, but not both. Statements are often expressed using variables, symbols, or mathematical notation, and they can describe mathematical objects, relationships, properties, or operations.

For the first question, the correct response is:

B |6| > |−8|

This is true because the absolute value of a number is always positive, and it represents the distance of that number from zero on the number line. So, the absolute value of 6 is greater than the absolute value of -8, because 6 is further away from zero than -8 on the number line.

For the second question, the correct response is:

C |−8| < |3|

This is true because the absolute value of -8 is greater than the absolute value of 3. Absolute values tell us the distance from zero on the number line, and the distance between -8 and 0 is greater than the distance between 3 and 0.

Therefore for the given statements the correct answer is B |6| > |−8| and C |−8| < |3|.

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Answer:6|g4

Step-by-step explanation:

Using it's concept, it is found that the probability that a student chosen at random will play the keyboard is of 0.15.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence:

\(p = \frac{11}{71} = 0.15\)

The probability that a student chosen at random will play the keyboard is of 0.15.

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Step-by-step explanation:

-px + r = 8x -2

Step 1: Add -8x to both sides.

-px + r + -8x = 8x - 2 + -8x

-px + r - 8x = 2

Step 2: Add -r to both sides.

-px + r - 8x + -r = -2 + -r

-px - 8x = -r - 2

Step 3: Factor out variable x.

x(-p - 8) = -r - 2

Step 4: Divide both sides by -p - 8.

x(-p - 8) = -r - 2

-p - 8 -p - 8

Answer

x = r + 2

p + 8

Reason:

Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.

The other pair of vertical angles are ADB and XDF.

Vertical angles are always congruent.

The value of 150/4 to the nearest tenth is 37.50

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. . In a proper fraction, the numerator is less than the denominator. In improper fraction, the denominator is smaller to the numerator.

The value of 150/4 = 75/2= 37 1/2

1/2 in decimal is 0.5

Therefore 150/4= 37+ 0.5= 37.5

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Answer:

1. 20/3 or 6 2/3

2. 0.4

3. 11

4. 11

5. They are both similar

Hope this helps!

Answer:

I will help ukshagaakavlabsbakakahsjskmdlslsbsbs skshsvs

Answer:

a) irrational

b) irrational

c) rational

d) rational

e) irrational

Note:

rational numbers are numbers that can be expressed in fractions.

irrational numbers are numbers that cannot be expressed in fractions i.e. they are never-ending-non-repeating decimals. examples √2, pi etc.

If A is an m × n matrix. The following are true regarding it: 1. The number of pivot positions in A is called the rank of A.2. A pivot column of A is a column that contains a pivot position.3. A pivot position of A is a location in A that corresponds to a leading 1 in the reduced echelon form of A.4. Free variables of a linear system are variables corresponding to the non-pivot columns of A.

The rank of a matrix is the number of pivot positions in the matrix after it has been reduced to a reduced echelon form. In the reduction procedure, the rows and columns of the matrix are manipulated to convert the matrix into a reduced echelon form.

A pivot column of matrix A is one that contains at least one pivot position, according to the definition. These are columns that have a leading 1 in a reduced echelon form. These columns contain the variables in the equation system that correspond to the pivot rows.

In matrix A, a pivot position is the location of a leading 1 in the matrix's reduced echelon form. The reduced echelon form of a matrix is the one in which the matrix has been transformed so that it satisfies certain criteria for ease of use.

The variables that do not correspond to pivot columns in matrix A are referred to as free variables. These variables are not bound to specific values in a solution to the associated equation system. They can take on any value and therefore provide an infinite number of solutions.

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9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)

The final answer is:  a) Q1 = -0.6745, Q3 = 0.6745 b) IFL = -2.698, IFH = 2.698 c) P(Z is beyond inner fences) = 0.0035 d) OFL = -4.7215, OFH = 4.7215 e) P(Z is beyond outer fences) = 0.0003

Given: Z is a standard normal random variable Formula used:

First Quartile (Q1) = -0.6745,

Third Quartile (Q3) = 0.6745,

Interquartile range (IQR) = 1.349,

Inner fences (IFL and IFH) = Q1 - 1.5 * IQR and Q3 + 1.5 * IQR,

Outer fences (OFL and OFH) = Q1 - 3 * IQR and Q3 + 3 * IQR

Box plot:

a) First Quartile (Q1) = -0.6745, Third Quartile (Q3) = 0.6745

Therefore,Q1 = -0.6745 and Q3 = 0.6745

b) Inner fences (IFL and IFH) = Q1 - 1.5 * IQR and Q3 + 1.5 * IQR

Interquartile range (IQR) = Q3 - Q1 = 0.6745 - (-0.6745) = 1.349

Therefore,

IFL = Q1 - 1.5 * IQR= -0.6745 - 1.5 * 1.349= -2.698

and

IFH = Q3 + 1.5 * IQR= 0.6745 + 1.5 * 1.349= 2.698c)

Probability that Z is beyond the inner fences:

The probability of Z is less than IFL is equal to the probability of Z is greater than IFH and that probability is 0.0035

Therefore, P(Z is beyond inner fences) = 0.0035d) Outer fences (OFL and OFH) = Q1 - 3 * IQR and Q3 + 3 * IQR

Therefore,

OFL = Q1 - 3 * IQR= -0.6745 - 3 * 1.349= -4.7215

and

OFH = Q3 + 3 * IQR= 0.6745 + 3 * 1.349= 4.7215e)

Probability that Z is beyond the outer fences:

Since the normal distribution is symmetric, the probability of Z is less than OFL is equal to the probability of Z is greater than OFH. Therefore, the required probability is 0.0003 (by looking at the z-score table).Therefore, P(Z is beyond outer fences) = 0.0003

Hence, the final answer is:  a) Q1 = -0.6745, Q3 = 0.6745 b) IFL = -2.698, IFH = 2.698 c) P(Z is beyond inner fences) = 0.0035 d) OFL = -4.7215, OFH = 4.7215 e) P(Z is beyond outer fences) = 0.0003

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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Answer:

y = -5

Step-by-step explanation:

Step 1: Translate

"Sum" is addition

"a number y" is y

"-3" is -3

"is -8" means equal to -8

Step 2: Set up equation

y + -3 = -8

Step 3: Solve for y

The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

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Answer:

b

Step-by-step explanation:

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

The length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

Arc length = (central angle / 360) x (2 x π x radius)

Arc length of sector of circle = (θ/360º) × 2πr

For the sector MRH:

θ = 180° - 72° = 108°

r = 30 cm

Arc length MH = (108°/360º) × 2π × 30 cm

Arc length MH = 9 × 2π cm

Arc length MH = 18π cm.

For the sector MRH:

θ = 72°

r = (25 + 30) cm = 55 cm

Arc length TY = (72°/360º) × 2π × 55 cm

Arc length TY = 1 × 2π × 11 cm

Arc length TY = 22π cm

Therefore, the length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

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The closest among the choices is Choice C. $105.  Differences in amount may vary in the rounding off of the decimal numbers.

The complete question is given below as:-

Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.

Card A

Card B

Amount

$1,879.58

$861.00

APR

14%

10%

Monthly Payment

$43.73

$18.29

After 5 years, how much will Marcia have saved in interest by consolidating the two balances?

a.

$1,526.40

b.

$2,422.80

c.

$105.00

d.

$227.40

The amount received by an employee by giving the service or work to any frim will be termed as the income.

Given:

Card A - 1,879.58 ; APR 14%; monthly -43.73

Card B -    861.00 ; APR 10% ; monthly -18.29

5 years x 12 months/yr = 60 months.

Card A = 43.73 x 60 = 2,623.80

Card B = 18.29 x 60 = 1,097.40

Total : 2,623.80 + 1,097.40 = 3,721.20

Lowest APR is 10%. monthly rate: 0.83%

Total Card balance: 1,879.58 + 861 = 2,740.58

A = P * (r(1+r)^n) / [(1+r)^n -1]

A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]

A = 2,740.58 * 0.014/0.64

A = 2,740.58 * 0.022

A = 60.29 monthly payment.

60.29 x 60 = 3,617.40

Separate cards: 3,721.20

Consolidated:     3,617.40

Difference: 103.80

Therefore closest among the choices is Choice C. $105.  Differences in amount may vary in the rounding off of the decimal numbers.

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