Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?

Select The Correct Answer From Each Dropdown Menu. Consider This Expression. The Simplest Form Of The

Answers

Answer 1

The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

What are numerator and denominator?

The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.

       We have the expression

     3/(x-2) + (x-2) / (x²-4x+4)

Simplifying   x²- 4x +4  gives (x-2)².

Therefore, we can write the expression as

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

          = 4/(x-2).

Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

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Related Questions

pls check and see if i'm wrong

Answers

Answer:

I think you are right.Because im sure

A model train goes 8 inches in 2 seconds.



1. Calculate two unit rates for the model train and enter them in the table.



2. Explain the meaning of each of the numbers you found.

Answers

Answer:

16

Step-by-step explanation:

8 x 2 = 16  16 - 8 =2

Answer:

16......................

HELP!!!!!PLEASE!! ASAPPP

Answers

By calculating the percentage of earnings, we find out that Gary earns more money in one week as compared to Tara. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

It is given to us that -

Gary and Tara work as tutors at two different test prep companies

In a week, Gary earns 45% of the $2000 collected from the pupils

In the same week, Tara earns 20% of the $3,525 collected from the pupils

We have to find out who earns more money in a week.

We know that, in a week, Gary earns 45% of the $2000 collected from the pupils. This implies earning of Gary in a week

= 45% of 2000

= $900

Similarly, we know that, in the same week, Tara earns 20% of the $3,525 collected from the pupils. This implies earning of Tara in  the same week

= 20% of 3,525

= $705

Thus, by calculating the percentage of earnings, we can see that Gary earns more money in one week. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

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Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
15x2

Answers

The given polynomial is a binomial and the degree is 2.

What are the various degrees of polynomial ?

In a given expression if we have to know the degree of the polynomial we must look at the HIGHEST degree of the polynomial. This along with the table given below will help us identify the degree of the polynomial.

Degree 0 Constant Polynomial

Degree 1          Linear Polynomial

Degree 2 Quadratic Polynomial

Degree 3 Cubic Polynomial

Degree 4 Quartic Polynomial

The above mentions the various degrees of the polynomial , you may refer to it for future references .

The given expression is [tex]15x^2[/tex]

since the degree of the given polynomial is 2

the given is a binomial polynomial .

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Points located on a function include: (3, 6), (-5, 7), (13, 1), and (7, 14). Which point cannot be included in the function?
A (14, 5)
B (5, 6)
C (7, 2)
D (8, 0)

Answers

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

The given coordinate points are (3, 6), (-5, 7), (13, 1), and (7, 14).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A) (14, 5)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (14, 5) is included in the function.

It is a function as every input has a unique output.

B) (5, 6)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (5, 6) is included in the function.

It is a function as every input has a unique output.

C) (7, 2)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (7, 2) is not included in the function.

Since the element 7 corresponds to two different images i.e., 14 and 2.

D) (8, 0)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (8, 0) is included in the function.

It is a function as every input has a unique output.

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

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What is the equation of the line that passes through the point (-1,5) and has a slope of -3

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-1)}) \implies y -5= -3 (x +1) \\\\\\ y-5=-3x-3\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}[/tex]

I need help ASAP!!!!!!!

Answers

Step-by-step explanation:

in that setup they will both explode after traveling the same distance.

A is just going faster and has to launch therefore a little bit later.

so, we need to make an equation based on distance traveled and find in that process the number of seconds needed to travel that distance.

speed is distance/time, so we need to multiply speed by time to get distance.

x = seconds for B

x - 0.25 = seconds for A

A is launched after B but explodes at the same time.

so, A's trip is of shorter time than B's trip.

(x - 0.25)×360 = x×320

360x - 90 = 320x

40x - 90 = 0

40x = 90

4x = 9

x = 9/4 = 2.25 seconds

both fireworks will explode 2.25 seconds after B launches (and 2.25 - 0.25 = 2 seconds after A launches).

the explosion will be at

320×2.25 = 360×2 = 720 feet height.

APProximate the following numbers to The nereast thousand.
1• 6203 ​

Answers

Answer:

the answer should be 6000

1. A revenue of $2000 is obtained from the sales of item A at $40 each and item B at $35 each. Write an
equation that shows the relationship between the numbers of items sold.
2. A revenue of $3000 is obtained from the sales of item A at $50 each and item B at $80 each. Write an equation that shows the relationship between the numbers of items sold.

Answers

Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

what is the slope of this line a) 1/4 b) 4 c) -1/4 the 1 is not negitive the / is negitive d) -4

Answers

to get the slope of any straight line, we simply need two points off of it, so let's use those two in the picture below.

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{-8}{1 +1} \implies \cfrac{ -8 }{ 2 } \implies - 4[/tex]

70% of the class has a pet.
There are 30 kids in the class.
How many kids have a pet?

Answers

Answer: 21

Step-by-step explanation:

70x30/100

= 21

Hope this helps! :)

Steven's birthday party will cost $168 if he invites 14 guests. If there are 59 guests, how much will Steven's birthday party cost? Solve using unit rates.

Answers

Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.

If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.

if 14 guests = $168,

1 guest = 168/14 = $12

so it will cost him $12 per guest he invites

Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:

59 × $12 = $708

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Noah is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Noah made a total of 11 shots altogether and scored a total of 29 points. Write a system of equations that could be used to determine the number of two point shots noah made and the number of three point shots he made. Define the variables that you use to write the system.

Answers

The system of equations is x + y = 11 and 2x + 3y = 29 and variables are x and y.

Let us assume the number of two point shots be x and the number of three point shots be y. Forming the equation now -

x + y = 11 : Equation 1

2x + 3y = 29 : Equation 2

Rewriting the equation 1 as per x.

x = 11 - y : Equation 3

Keep the value of x form equation 3 in equation 2

2(11 - y) + 3y = 29

Performing multiplication on Left Hand Side of the equation

22 - 2y + 3y = 29

y = 29 - 22

y = 7

Keep the value of y in equation 3.

x = 11 - 7

x = 4

So, the two point shots are 4 and three points shots are 7. The variables are x and y and system of equations are equation 1 and equation 2.

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Does the equation y+x=45 2y+2x=6 have No solutions or infinite solutions

Answers

The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

In the question ,

it is given that ,

the equations are y + x = 45 and 2y + 2x = 6 .

y = 45 - x

Substituting the value of y = 45 - x in the equation 2y + 2x = 6

we get ,

2(45 - x) + 2x = 6          ...by using associative property

Simplifying further ,

we get

90 - 2x + 2x = 6

90 = 6                   .....because   -2x+2x = 0

we know that 90 ≠ 6 ,

hence , the equations have No Solution .

Therefore , The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

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Given: (GH) is a midsegment of ∆DEF. Show all work.
a. Find the value of x and y.
b. What is the length of DF? ​

Answers

Applying the triangle midsegment theorem:

a. x = 17; y = 2

b. Length of DF = 20 units.

What is the Triangle Midsegment Theorem?

The triangle midsegment theorem states that the midsegment of a triangle is always parallel to the third side, and has a length that is half the length of the third side of the triangle.

GH is said to be the midsegment of triangle DEF, therefore:

a. GH = 1/2(EF) [triangle midsegment theorem]

Substitute

x - 3 = 1/2(28)

2(x - 3) = 28

2x - 6 = 28

2x = 28 + 6

2x = 34

2x/2 = 34/2

x = 17

HF = x - 7

Plug in the value of x

HF = 17 - 7

HF = 10

HF = DH = 10

y + 8 = DH

y + 8 = 10

y = 10 - 8

y = 2

b. Length of DF = HF + DH

Length of DF = 10 + 10 = 20 units.

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Can anybody solve this for me?

Answers

Answer:

y = x + 6

Step-by-step explanation:

y = mx + c

2 = -4m + c

-2 = -8m + c

2 + 4m = c

-2 = -8m + 2 + 4m

-2 - 2 = -4m

-4 = -4m

-4/-4 = m

m = 1

2 + 4(1) = c

c = 6

y = x + 6

Select the correct answer.
Which graph is the graph of f(x) = x³ - 10x² + 16x?
OA.
B.
-5
4
-3 -2
-3
-2
-3
-4
-5
2
-3
5

Answers

The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

Graph of Cubic equation

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

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Which of the following is true of prime numbers?
A.
A prime number may be an even number or an odd number.
B.
A prime number is always an even number.
C.
A prime number is always an odd number.
D.
A composite number may be an even number or an odd number.

Answers

Answer:

C

Step-by-step explanation:

Prime numbers are only divisible by themselves and 1  ....all even numbers are divisible by '2' ,  so all primes are odd numbers

These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 8 to x = 9?
OA. -82
OB. -17
C. -65
D. -2
x y
0
1
23456
125
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
-5
-7
-9
-11
3-2
1-2
3-2
1-2
3-2

Answers

Answer:

B

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from [tex]x=n[/tex] to [tex]x=n+1[/tex], where [tex]n \in \mathbb{Z}[/tex], is [tex]-2n-1[/tex].

So, the average rate of change from [tex]x=8[/tex] to [tex]x=9[/tex] is [tex]-2(8)-1=-17[/tex].

The rate of change for the interval from x = 8 to x = 9 is -17.

What is Rate of change?

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The relationship defining how one quantity changes in relation to the change in another quantity is given by the rate of change formula.

We know the standard form of quadratic function

y = a (x - b)² + c with vertex (b, c)

Since the vertex is (0, -1) then b= 0, c= -1.

Then, the quadratic equation is:

y= ax² - 1 passes through (1, 2), (2, -5),.....

So, the rate of change in interval (8, 9) is

= y(9)- y(8)/ (9-8)

= -9² -1 - 8² - 1/ 1

= -17.

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can anyone please help me? (pic attached)

Answers

Answer:

No, Eduardo made a mistake from Step 1 to Step 2. Eduardo should have subtracted 4 from 6 instead of evaluating the exponent. The order of operations says to perform all operations inside parentheses first.

emma estimated the
first digit in the quotient of 2,183 ÷ 42 as 4. She adjusted the quotient to 3. What did she do wrong? Explain how Emma can avoid her mistake.

Answers

Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.

How to divide a number ?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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The mistake she done is that the acutal quotient is 51.97.

How to divide a number ?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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i need help with b helpppppppppppppppp plssssssssssssssssssssssssssssssss

Answers

The order of in which the operation in the expression 9 + 3·2² - 1·4, indicates;

3. (a) The value of the expression, 9 + 3·2² - 1·4 is 17

(b) The left and right side of the grouping symbol (the left side) should be placed between the number 3 and 2 and then (the right side should be placed between 1 and 4, so that we get;

9 + 3 × (2² - 1) × 4 = 45

What is the order of operations in mathematics?

The order of operations is a rule or guide, that states the sequence in which the operations in an expression are to be performed.

3. The specified expression is; 9 + 3·2² - 1·4

(a) The value of the expression 9 + 3·2² - 1·4 can be found using the order of operation of PEMDAS, which stands for; operations from left to right, items in Parenthesis, then Exponents, followed by Multiplication, and Division first then Addition and Subtraction of the terms from left to right as follows;

Therefore;

9 + 3·2² - 1·4 = 9 + 3 × 4 - 1 × 4 = 9 + 12 - 4 = 17

The value of the expression, 9 + 3·2² - 1·4, is 17

(b) A grouping symbol is the parenthesis.

The location of the parenthesis in the specified expression so that the value is 45 can be found as follows;

Placing the grouping symbol between 3 and 2 and the right parenthesis between 1 and 4, we get;

9 + 3·2² - 1·4 = 9 + 3·(2² - 1)·4 = 9 + 3 × (2² - 1) × 4

9 + 3 × (2² - 1) × 4 = 9 + 3 × (3) × 4 = 9 + 36 = 45

The location to place the grouping symbol so that the value of the expression is 45 is between 3 and 2 and between 1 and 4.

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what’s the question mark?

Answers

Answer:

? ≈ 5.01

Step-by-step explanation:

using the sine ratio in the right triangle

sin24.3° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.06}{?}[/tex] ( multiply both sides by ? )

? × sin24.3° = 2.06 ( divide both sides by 24.3° )

? = [tex]\frac{2.06}{sin24.3}[/tex] ≈ 5.01 ( to 3 significant figures )

Describe the transformations that map the
function y = 8* onto each function.
b) y = 84x
d) y = 8-2x
a) y = ( 1⁄2 8×18x
c) y = -8x

Answers

In the first function have vertical compression by 1/2, in second function have horizontal compresion by 1/4, in third compression have Vertical reflection and in fourth function have Horizontal reflection and horizontal compression by 1/2.

In the given question we have to find the transformations that map the function y = [tex]8^x[/tex] onto each function.

Since we have to find the transformation, so we know that in a transformation;

The transformation from the first equation to the second one can be found by finding a, h and k for each equation.

[tex]y=ab^{x-h}+k[/tex]

The horizontal is define by the value of h. The horizontal shift is defined as:

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Horizontal Shift: None

The vertical shift define on the value of k. The vertical shift is defined as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Vertical Shift: None

The value of a describes the vertical stretch or compression of the graph.

a>1 is a vertical stretch

0<a<1 is a vertical compression.

(a) The given first function is [tex](\frac{1}{2})8^{x}[/tex].

y = [tex]8^x[/tex]

Combine [tex]8^x[/tex] and 1/2.

y = [tex]8^x[/tex]/2

Assume that

y = [tex]8^x[/tex]  is f(x)=[tex]8^x[/tex] and y= [tex](\frac{1}{2})8^{x}[/tex] is g(x)= [tex](\frac{1}{2})8^{x}[/tex].

On comparing the equation [tex]y=ab^{x-h}+k[/tex]

The value of a, h, and k for f(x)=[tex]8^x[/tex].

a=1, h=0, k=0

The value of a, h and k for g(x)=[tex](\frac{1}{2})8^{x}[/tex].

a=1/2, h=0, k=0

Since the value of h and k so tnere is no horizontal and vertical shift.

SInce the value of a changes from 1 to 1/2 and 1/2 is greater that 0 but less than 1 so there is vertical compression by 1/2.

(b) The given second function is [tex]8^{4x}[/tex].

y= [tex]8^{4x}[/tex] is g(x)= [tex]8^{4x}[/tex].

On comparing the equation [tex]y=ab^{x-h}+k[/tex]

The value of a, h and k for g(x)=[tex]8^{4x}[/tex].

a=1/4, h=0, k=0

Parent Function: f(x)=8^x

So, Horizontal Shift: None, Vertical Shift: None, Reflection about the x-axis: None, Vertical Compression or Stretch: None, horizontal compresion by 1/4.

(c) The given third function is [tex]-8^{x}[/tex].

y= [tex]-8^{x}[/tex] is g(x)= [tex]-8^{x}[/tex].

The value of a, h and k for g(x)=[tex]-8^{x}[/tex].

a=-1, h=0, k=0

Parent Function: f(x)=8^x

So, Horizontal Shift: None, Vertical Shift: None, Reflection about the x-axis: Reflected, Vertical Compression or Stretch: None.

Vertical reflection

(d) The given fourth function is [tex]8^{-2x}[/tex].

y= [tex]8^{-2x}[/tex] is g(x)= [tex]8^{-2x}[/tex].

The value of a, h and k for g(x)=[tex]8^{-2x}[/tex].

a=-1/2, h=0, k=0

Parent Function: f(x)=8^x

So, Horizontal Shift: None, Vertical Shift: None, Reflection about the x-axis: Reflected, Vertical Compression or Stretch: None.

Horizontal reflection and horizontal compression by 1/2.

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Need help!! Hurry!!!!!

Answers

it appears FG and EG are parallel, i may be wrong.

in september 2011, gallup surveyed 1,004 american adults and asked them whether they blamed barack obama a great deal, a moderate amount, not much, or not at all for u.s. economic problems. the results showed that 53% of respondents blamed barack obama a great deal or a moderate amount. using these data, we calculated a 99% confidence interval of (0.489, 0.571) for the proportion of all american adults who blame barack obama a great deal or a moderate amount. does the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems?

Answers

The 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

In the given question we have to find the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems.

Gallup surveyed 1,004 american adults.

So n=1004

The results showed that 53% of respondents blamed barack obama a great deal or a moderate amount.

So p=53% = 0.53

The 99% confidence  interval for the proportion of all american adults who blame barack obama a great deal or a moderate amount for u.s. economic problems is

CI=p±z× √{p(1−p)}/n

Now finding the value of z for 99% confidence interval.

The z critical value at 99% confidence interval is 2.575.

Now putting the value

CI=0.53±2.575× √{0.53(1−0.53)}/1004

CI=0.53±2.575× √(0.53*0.47)/1004

CI=0.53±2.575× √0.2491/1004

CI=0.53±2.575× √0.00025

CI=0.53±2.575× 0.0158

CI=0.53±0.0407

CI=(0.53+0.0407, 0.53−0.0407)

CI=(0.571, 0.489)

Hence, the 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

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7.34 the gpas of all students enrolled at a large university have an approximate normal distribution with a mean of 3.02 and a standard deviation of .29. find the probability that the mean gpa of a random sample of 20 students selected from this university is

Answers

The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem:

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

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Yesterday was the first playoff game for the Culver City Cyclones baseball team. The
stadium's manager predicted attendance at the game would be 5,600 fans. Unfortunately, the
threat of a storm caused many to stay home, and his prediction wound up being 28% higher
than the actual attendance. What was the actual attendance at the baseball game?

Answers

The actual attendance at the baseball game is 7168 fans

What is meant by percentage?

A figure or ratio that is stated as a fraction of 100 is referred to as a percentage in mathematics. The abbreviations "pct," "pct," and occasionally "pc" are also used to represent percentage in addition to the symbol "%". A% has neither a recognized unit of measurement nor any dimensions. Take this as an example: There will be 50 men in the class if there are 100 students total and there are 50 men in the class. There are 250 male students overall, or 250 out of 500.

Given,

The actual attendance at the game=5600 fans

Also given that, the threat of a storm caused many to stay home, and his prediction wound up being 28% higher than the actual attendance.

Then,

28% of 5600

=5600×(28/100)

=1568

Total=5600+1568

Total=7168

Therefore, the actual attendance at the baseball game is 7168 fans.

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Answer:

4,375 fans

Step-by-step explanation:

percent error= amount of error/correct amount

1.28x=5600

1.28x/1.28= 5000/1.28

x=4375

x varies inversely as the square of y. If x= 6 when y = 2, then the value of x when y = 8 will be​

Answers

Answer: 24

Step-by-step explanation:

You can use proportions to calculate this:

[tex]\frac{6}{2} =\frac{x}{8} \\\\2x=6*8\\\\2x=48\\\\x=\frac{48}{2} =24[/tex]

complete the recursive formula of the arithmetic sequence calculator -5,-25,-45,-65

Answers

The recursive formula of the arithmetic sequence calculator -5, -25, -45, and -65 is an = -20n + 15

The arithmetic sequence is

-5,-25,-45,-65

The initial term = -5

The common difference = The second term - The first term

= -25 - (-5)

= -25 + 5

= -20

The nth term of the arithmetic sequence is

an = a+(n- 1)d

When an is the nth term

a is the initial term

d is the common difference

Substitute the values in the equation

an = -5 +(n-1)( -20)

Apply the distributive property

an = -5 -20n + 20

an = -20n + 15

Hence, the recursive formula of the arithmetic sequence calculator -5,-25,-45,-65 is an = -20n + 15

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