7/8=35/40 -1/5=5/25 what is the error

Answers

Answer 1

Answer:

Assuming that you're trying to multiply each one by five, the mistake is that in the second one, it would be [tex]\frac{-5}{25}[/tex] and not [tex]\frac{5}{25}[/tex]

Answer 2

Answer:

Below

Step-by-step explanation:

35/40    - 1/5 =

35/40 - 8/40 =

27/40


Related Questions

i need help with this please ,thankful for all help:)

Answers

The value of f(-2) is -8 and the value of [tex]f(v+1)=\frac{3v+1}{|v+2|}[/tex] for the given function [tex]f(v)=\frac{3v-2}{|v+1|}[/tex].

How to evaluate a function?A function is represented by f(x) = y. Where x is the input variable and y is the output variable. To evaluate the function for a value of x, substitute the value of x in the function f(x), and by simplifying, we get the required answer.

Calculation:

Given function is

[tex]f(v)=\frac{3v-2}{|v+1|}[/tex]

To evaluate f(-2), we need to substitute v = -2 in the given function.

So, on substituting v = -2, we get

f(-2) = (3(-2) - 2)/|-2+1|

      = (-6 - 2)/|-1|

      = -8/1

Since we know that |-a| = a; we can write |-1| = 1.

Thus, f(-2) = -8

To evaluate f(v+1), we need to substitute v = v+1 in the given function.

So, on substituting v = v+1, we get

f(v+1) = (3(v+1) - 2)/|v+1+1|

        = (3v+3-2)/|v+2|

        = (3v+1)/|v+2|

Thus, f(v+1) = (3v+1)/|v+2|.

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Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

Answers

If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.

A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.

Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.

If all firms were merged at HHI, then it would be:

1. add all share market percent

2. take square of step 1

=(18+ 17+ 17+ 17+ 16+ 15= 100)

=100*100

= 10000

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Correct Question:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

The coldest temperature ever recorded in Mathville was -16°F. This happened on January 30th, 1984. The normal low for that day is 15°F.

How much was the difference between the normal low temperature and the record low temperature?

Answers

The difference between the normal low temperature and the record low temperature is 31°F.

Temparature:

The physical concept of temperature indicates in numerical form how hot or cold the weather is. A thermometer is used to determine temperature.

When the temperature is hot the measure of temparature will be in positive when the temperature is cold the measure of temparature will be negative.  

The formula for the difference between the normal low temperature and the record low temperature is given by

Difference = (record low temperature) - (normal low temperature)  

Here we have

The coldest temperature ever recorded in Mathville was - 16° F

This happened on January 30th, 1984. The normal low for that day is 15°F.

Here we need to find the difference between the normal low temperature and the record low temperature.

The formula for the difference is given by

Difference = (record low temperature) - (normal low temperature)  

From the given data,

Difference will be = - 16°F - (15°F) = -16°F - 15°F = - 31°F  

Therefore,

The difference between the normal low temperature and the record low temperature is 31°F.

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What are the factors of 36xyz?

Answers

Answer:

1

Step-by-step explanation:

$6,000 for six years at 8½% compounded daily will grow to:
Multiple Choice
$9,060.00
$9,788.81
$9,991.15

Answers

It will grow to $9991.15

a dice game involves rolling three dice and betting on one of the six numbers that are on the dice the game cost $5 to play and you win the following amounts if the number you bet appears on any of the dice

Answers

The expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

Alright so we need to know the equation for expected value. So this turns our to be a pretty simple equation being:

E(X)=ΣxP(X=x)

So since we have all of our information we just need to use the equation. So:

E(X)= -$5*125/216+ $5*75/216+$10*15/216+$24*1/216 = -$1.045

I did notice however that there might be a mistake on this question since you have the win if 2 dice are correct as only being $10 instead of what i would think of being 16. If that is the case then the expected value is below

E(X)= -$5*125/216+ $5*75/216+$16*15/216+$24*1/216 = -$.6300

So the expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

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Will Give Brainliest if Answered Correctly look at picture

Answers

The additional jump in inches that John must make to beat the record is

5 1/4 inches

How to find the height in inches required to break the record

The problem is solved by converting the given dimensions in ft to  inches

conversion to inches is solved using

12 inches = 1 ft

The record jump is

= 23 feet 1 3/4 in

= 23 * 12 + 1 3/4 in

= 276 + 1 3/4

= 277.75 in

John's best long jump

= 22 ft 8 1/2 in

= 22 * 12 + 8 1/2 in

= 264 + 8 1/2

= 272.5 in

John's additional jump

= record jump - John's best long jump

= 277.75 - 272.5

= 5.25 in

= 5 1/4 in

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Which of the following is true about the above arrow diagram? It does not define a function because 2 is not mapped to any element of B It properly defines a function but it is not a one-to-one function It properly defines a function but it is not a one-to-one correspondence It properly defines a function but it is not onto Which of the following functions is a one-to-one function?
f: Z - Z, where f(n) = n2 + 6 f: R → R, where f(x) = 5x + 3 f: Z - Z, where f(n) = In - 1 f: R - R, where f(x) = 4x2

Answers

The given functions we proved and solved.

(1) given mapping is not a function because element 1 in domain has two distinct images 2 and 3.

For the function we must have for every element of domain there must be unique image in co-domain.

It does not define a function......(option First)

(2) As we know mod function  always returns with positive sign

Therefore domain and co domain are already given to be integers.

Range set will set of non-negative integers.

(3) Here we have from the graph

f(-2)  and f(0)=1

The only map satisfies these two conditions is:

f(x) = x+1

(4) The second function f:R→R such that f(x)=2x+7 is the ony one-one function.

Because f(x)=f(y)

2x+7=2y+7

2x=2y

x=y

Hence f(x) is one one.

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The question is the picture. Algebra II level math.

Answers

Using the perimeter and area formular for a rectangle and semicircle, the dimension of the window should have a length of 1.68 ft and the width should also be 1.68 ft.

What is dimension?

Dimension is measurement of width or something.

Side lengths of the window = L

Radius of semicircle = r

width = 2r

Perimeter of semicircle = πr + 2r

Hence, perimeter of window can be expressed thus :

2L + 2r + πr = 12 - - - - (1)

Area of window :

2rL + 0.5πr^2 - - - - - (2)

A = r(12 - 2r - πr) + 0.5πr^2

A = 12r - 2r^2 - πr^2 + 0.5πr^2

A = 12r - 2r^2 - 0.5πr^2

Take the derivative of A to obtain maximum value of r

dA/dr = 12 - 4r - πr = 0

4r + πr = 12

2L = 12 - 2r - πr

12 - 2*1.68 - 1.68(3.14)

2L = 3.3648

L = 3.3648 / 2

L = 1.68.

Hence, the dimension of the window should be : 1.68 by 1.68.

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change .350 to hundredths

Answers

Answer:

.35

Step-by-step explanation:

Just drop the zero     .350 is    350 thousandths  = 35 hundredths

What is the slope of a line parallel to the line whose equation is 2x y =- 7?; What is the slope of a line parallel to the line whose equation is Y =- 1 2x 3?; How do you find the slope of a parallel line?; Which is the equation of a line parallel to the line with the equation y 3x 5?

Answers

The slope of the line parallel to the given lines are as follow:

a. Slope of the line parallel to 2x + y =  -7 is -2.

b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.

c. Slope of the parallel lines are always equal.

d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value.

As given in the question,

Slope of two or more parallel lines are always same.

Equation in the form y = mx + c ,

here 'm' is the slope.

a.  Slope of the line parallel to 2x + y =  -7

y = -2x -7

Slope of the line is -2.

Slope of the line parallel to the given line is -2.

b.  y = (- 1 + 2x) 3

⇒ y = 6x -3

Slope of the line is 6 .

Slope of the line parallel to the given line is also 6.

c. Slope of the parallel lines are always equal.

d. Equation of the line parallel to the given line y = 3x -5 is given by:

y = 3x + c , here slope remain same only c value get change.

Therefore, slope of the given lines are:

a. Slope of the line parallel to 2x + y =  -7 is -2.

b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.

c. Slope of the parallel lines are always equal.

d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value

The complete question is:

a. What is the slope of a line parallel to the line whose equation is

2x + y =- 7?

b. What is the slope of a line parallel to the line whose equation is

Y = (- 1 + 2x) 3 ?

c.  How do you find the slope of a parallel line?

d. Which is the equation of a line parallel to the line with equation y=3x- 5?

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find the least integer n such that n! is divisible by[tex]10^{6}[/tex]

Answers

Answer:

25!

in this type of questions you need to find 10 makers ( it's means you need to find numbers which has 2 or 5 in their prime factors) obviously there is a bunch of numbers which has 2 in their prime factors.

so we need to find multiples of 5. But you should be aware that some numbers have more than one prime factors of 5 e.g. 25 .

ok let's go back to the question.

starting from 1 , we've got 5, 10 , 15 ,20 &25(5²)

so the answer is 25!

Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²

please help me and can you explain how you got your answer ​

Answers

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

Simplifying an algebraic expression

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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[ - 25.6] +[ - 11.4 ] the number of the value is always positive

Answers

The absolute value of the expression |-25.6| + |-11.4| gives a resultant modulus of 37

Absolute Value of Expression

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

Whenever a value is in an absolute value, the result must always be positive no matter what it is. I.e the modulus of any number is always positive.

In the given expression;

|-25.6| + |-11.4| = 37

The modulus of the expression is 37

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You purchased a share of stock for $29. One year later you received $2.25 as dividend and sold the share for $28. Your holding-period return was _________.(SHOW CALCULATION)

Answers

The worth of your solution is 25 and 20 - 10

what is the solution to 5x=6

Answers

The value of x after simplification is 6/5.

What is an equation?

A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in those other languages can vary slightly. For instance, in French, an equation is defined as having one or even more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values for the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables that the equation must be solved, and the unknown variable values that satisfy this same equality are known as the equation's solutions.

Main Body:

according to the given equation,

5x = 6

to solve it , divide by 5 on both sides,

5x *1/5  = 6*1/5

x = 6/5

Hence the value of x after simplification is 6/5.

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T/F a calculus for computing filippov's differential inclusion with application to the variable structure control of robot manipulators

Answers

It is proved that T/F a calculus is used  for computing filippov's differential inclusion with application to the variable structure control of robot manipulators.

In this we also get to know more about the calculus concepts and it also helps in paper to develops a calculus for computing Filippov's differential inclusion which simplifies the analysis of dynamical systems described by differential equations with discontinuous right-hand-side. In particular, when a slightly generalized Lyapunov theory is used, the rigorous stability analysis of variable structure systems is routine. As an example, a variable structure control law for rigid-link robot manipulators is described and its stability is proved.

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Each board is 3 ¾ feet and Max makes four shelves. What is the length of the piece remaining after four shelves have been cut from the 16 foot board?

Answers

The length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that each board is 3 ¾ feet and Max makes four shelves. The length of the remaining board will be calculated as,

Length =  16 - ( 4 x 3 ¾ )

Length = 16 - ( 4 x15/4 )

Length = 16 - 15

Length = 1 foot

Therefore, the length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

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Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integral ∫C7y2xdx+8x2ydy.

Answers

The value of line integral is 1/2 .

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

[tex]\int\limits^1_0 {L(x,y)} \, dx + M(x,y)dy =\int\limits^1_0 \int\limits^0_1 {(Mx- Ly)} \, dx\, dy[/tex]

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy

Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line integral is equal to the double integral

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy[/tex]

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy = \int\limits^1_0 {x^{2}y \left \{ {{1} \atop {0}} \right. } \, dy =\frac{y^{2} }{2} \left \{ {{1} \atop {0}} \right. } = \frac{1}{2}[/tex]

We conclude that the line integral is 1/2

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Consider a square and a regular octagon (an 8
8
-sided figure with sides of equal length). One side of the square is 8
8
feet longer than a side of the octagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure? (Round to two decimal places if necessary.)

Answers

Answer:

Sides are 16 ft for the square and 8 ft for the octagon.

--------------------------------------------------

Let the side of the square is x and side of the octagon is y.

Set equation for sides:

x = y + 8

The perimeter of square is same as the perimeter of the octagon:

4x = 8y

Simplify and then substitute:

4x = 8y ⇒ x = 2yy + 8 = 2yy = 8

Find x:

x = 8 + 8 x = 16

William recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 9
Bass 11
Drums 9
Keyboard 11
Eighth Grade Students
Instrument # of Students
Guitar 3
Bass 3
Drums 8
Keyboard 6

Based on these results, express the probability that a seventh grader chosen at random will play the keyboard as a fraction in simplest form.

Answers

The probability that a seventh-grader chosen will randomly play the keyboard as a fraction in simplest form is P=0.68.

What is probability?

Probability is considering a numerical description of how likely an event is to occur or how likely it is true. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur. In general, probability has many excellent applications in gaming, commerce, and this newly growing area of artificial intelligence.

Seventh-grade students guitar= 8

All total students' guitar = 8+8+7+2

= 25

A instruments other than guitar = 25-8

= 17

So, p = 17/25

= 0.68

Here we use simple random sampling n/n. Thus, the answer is 0.68.

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PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet 80 Points PLEASE HELP I WILL FAIL COLLEGE PLEASE PLEASE PLEASE HELP quadratics.. i will fail please help lots of points help me with my math asap please … answer!!! Worksheet 80 POINTS 90 POINTS

Answers

Answer:

A.

Step-by-step explanation:

x^2+11x+28

first get the product and sum by using

a=1

b=11

c=28

and then

p=a multiplied by c

b=11

p=28

s=11

find any number that can be multiplied by

7&4 are the numbers

(x^2+7x)+(4x+28)

x(x+7)+4(x+4)

(x+7)(x+4)

There are 200 seats on a train. Forty-two percent of the seats are taken. About how many seats are empty? Show and explain your work.

Answers

Answer:

116

Step-by-step explanation:

42/100 (that's the percent) = 84/200

200-84=116

Between 11 p.m. and midnight on Thursday night, Mystery Pizza gets an average of 4.2 telephone orders per hour. (a) Find the median waiting time until the next telephone order. (b) Find the upper quartile of waiting time before the next telephone order. (c) What is the upper 10 percent of waiting time until the next telephone order? Show all calculations clearly.

Answers

a) The median waiting time until the next telephone order is of: 2.91 minutes.

b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.

c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.

What is the exponential distribution?

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The mean for this problem is of:

m = 4.2.

Hence the decay parameter is of:

[tex]\mu = \frac{1}{4.2} = 0.2381[/tex]

The mass function is then given as follows:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

Hence:

[tex]P(X \leq x) = 1 - e^{-0.2381x}[/tex]

The median time is the value of x for which P(X < x) = 0.5, hence:

[tex]0.5 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.5[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.5}[/tex]

-0.2381x = ln(0.5)

x = -ln(0.5)/0.2381

x = 2.91 minutes.

The upper quartile is the value of x for which P(X < x) = 0.75, hence:

[tex]0.75 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.25[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.25}[/tex]

-0.2381x = ln(0.25)

x = -ln(0.25)/0.2381

x = 5.82 minutes.

The upper 10% is the value of x for which P(X < x) = 0.9, hence:

[tex]0.9 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.1[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.1}[/tex]

-0.2381x = ln(0.1)

x = -ln(0.1)/0.2381

x = 9.67 minutes.

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Could someone please help me?

Answers

Answer:

Option B

Step-by-step explanation:

Use the formula

[tex]x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}[/tex]

now input the values. In equation [tex]x^{2} - 5x + 7 = 0[/tex], a = 1, b = -5 & c = 7

By taking positive sign we get,

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

⇒[tex]x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}[/tex]

⇒[tex]x = \frac{5+\sqrt{25-28 } }{2}[/tex]

⇒[tex]x = \frac{5+\sqrt{-3 } }{2}[/tex]

In the same way, by taking minus sign, we get [tex]x = \frac{5-\sqrt{-3 } }{2}[/tex]

21. Which relation is a function?

A. (,0), (0, 1), (2, 2)}
B. {(-2,2), (-1, 1), (-2,4)}
C. {(-1,4), (0, 5), (0,4)}
D. {(2, 1), (4,3), (6,5)}

Answers

Answer:

The correct answer is D

Step-by-step explanation:

In order for a relation to be a function, every input for x can only have one output. Therefore, D is the correct answer.

Answer:

D

Step-by-step explanation:

A function is a relation where every input has only 1 output.

Inputs are the x's and outputs are the y's.

Answer a is missing an input.  You have (,0)  The first number is missing.

B is not a function because the input -2 has to outputs 2 and 4.

C is not a function because the input 0 has two outputs 5 and 4

A quadrilateral is shown in the diagram.
Which expression represents the perimeter of the figure in the diagram?
(A) 10 a+2
(B) 20 a-2
(c) 16 a+12
(D) 15 a-7

Answers

Step-by-step explanation:

F males + weua yvy did / How does Landman’s new eclectic phase differ from Blondel’s behaviouralist phase?

algebra 2: cc 2015 > chapter 7: solving rational equations > section exercises 7.5 > exercise 16 previous 16 answer sheet

Answers

A linear equation is an algebraic equation with two or more variables in which the highest degree of the variables is one. Linear equations can be written in the form ax + b = c, where a, b, and c are all constants.16. x = 32

To solve the equation 8x - 5 = 257, we need to isolate the variable x. We can do this by adding 5 to both sides.

8x - 5 + 5 = 257 + 5

8x = 262

Then, we can divide both sides by 8 to isolate x.

8x/8 = 262/8

x = 32

To solve the equation 8x - 5 = 257, we can add 5 to both sides to isolate the variable x. This gives us 8x = 262. Dividing both sides by 8 then gives us x = 32. This is the solution to the equation.

The complete question is :

algebra 2: cc 2015 > chapter 7: solving rational equations > section exercises 7.5 > exercise 16 previous 16 answer sheet .What is the solution to the equation 8x - 5 = 257?

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Solve the following absolute value inequality.
4x+7
3
< 8

Answers

Answer:

To solve the absolute value inequality 4x+7

3

< 8, we need to first isolate the absolute value expression on one side of the inequality. We can do this by dividing both sides of the inequality by 3, which gives us 4x+7<24.

Next, we need to consider two cases, depending on whether the quantity inside the absolute value is positive or negative. If the quantity inside the absolute value is positive, then the inequality will remain unchanged. In this case, we have 4x+7<24, which we can solve by subtracting 7 from both sides to get 4x<17, and then dividing both sides by 4 to get x<4.25.

If the quantity inside the absolute value is negative, then the inequality will be reversed. In this case, we have 4x+7>24, which we can solve by subtracting 7 from both sides to get 4x>17, and then dividing both sides by 4 to get x>4.25.

Therefore, the solution to the inequality 4x+7

3

< 8 is the set of all values of x that are less than 4.25 or greater than 4.25. We can write this solution in interval notation as (-∞,4.25)∪(4.25,∞), or as a union of two disjoint intervals: (-∞,4.25) and (4.25,∞).

Step-by-step explanation:

what is the value of the estimated standard error for the following set of d-scores? scores: 2, 2, 10, 2. a) 3 b) square root 3 c) 4 D) 2

Answers

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

The standard error of a statistic is the standard deviation of the sample distribution, or a close approximation of that standard deviation. A statistic that is the sample mean is referred to as having a "standard error of the mean."

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean.

Consider the following set of D scores,

2, 2, 10, 2

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 2 + 2 + 10 + 2

We can sum or difference of the coefficients,

∑D = 4 + 10 + 2

∑D = 14 + 2

∑D = 16

Then,

∑D² = 2² + 2² + 10² + 2²

∑D² = 4 + 4 + 100 + 4

∑D² = 8 + 100 + 4

∑D² = 100 + 12

∑D² = 112

So,

The formula for the standard score is given as:

SS = ∑[tex]D^{2}[/tex] - (∑D*∑D) / n

SS = 112 - [ (16)² /4 ]

SS = 112 - [ 256 /4 ]

SS = 112 - 64

SS = 48

Then,

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{SS}{n-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{4-1} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{\frac{48}{3} }[/tex]

[tex]S_{D}[/tex] = [tex]\sqrt{16}[/tex]

[tex]S_{D}[/tex] = 4

Therefore,

The value of the estimated standard error for the following set of D scores 2, 2, 10, 2 is 4 .

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