answer these questions and get 30 points

The proportion of the laptops is equal to 0.6 with the price range between 624 dollars to 768 dollars for the given mean and standard deviation.

As given in the question,

Given condition:

Price of of given laptops set are normally distributed:

Mean 'μ' is equal to 750 dollars

Standard deviation 'σ' is 60 dollars

let 'X' represents the price of laptops

Range of price is given by:

624 < X < 768

= (624 - μ)/σ < (X - μ)/σ < (768 - μ)/σ

= (624 - 750)/60 < (X - μ)/σ < (768 - 750)/60

= -126 /60 < (X - μ)/σ  <  18 /60

= -2.1 < Z < 0.3

From the table , value of z-score is equal to

z-score for -2.1 = 0.01786

z-score for 0.3 = 0.6179

Required proportion is equal to

0.6179 - 0.01786

= 0.6179 - 0.0179

= 0.6

Therefore, the proportion of laptops with the price between 624 and 768 is equal to 0.6.

The complete question is :

A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60dollars.

What proportion of laptop prices are between 624 dollars and 768 dollars?!

You may round your answer to four decimal places.

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Answer: 20/3

Step-by-step explanation:

When we multiply improper fractions, we multiply the numerator by numerator and denominator by denominator. So we do:

5/4 * 16/3

= 80/12

= 20/3

So the answer is 20/3.

Johnny will pay a least possible amount of $25 and for 10 miles, the cost for both services will be same.

Given are two taxi service companies.

For Yellow Taxi service, John will pay -

C(x) = 15 + 2.5x = 15 + 2.5 x 5 = 15 + 12.5 = 27.5

C(x) = $27.5

For white taxi service, we can write -

C(x) = 10 + {(16 - 10)/(2 - 0)}x

C(x) = 10 + 3x = 10 + 3 x 5 = $25

C(x) = $25

Johnny will pay $25 as the least possible amount.

For equal amount, we can write -

10 + 3x = 15 + 2.5x

3x - 2.5x = 15 - 10

0.5x = 5

x/2 = 5

x = 10

Therefore, we can write -

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The required rate of change for the given equation is 57.

What is the rate of change?

A measure of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

For the given equation,

Health club charges a one-time sign-up fee and a monthly membership fee

y = 57x +30

So, the rate of change, [tex]\frac{dy}{dx}[/tex] = 57

hence, the required rate of change for the given equation is 57.

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The ordered pair which does not satisfy the equation f ( x ) = ( 1/2 ) x - 7 is

A ( 2 , 8 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( 1/2 ) x - 7

The value of f ( x ) = y

So , the ordered pair will be of the point A ( x , y )

a)

( 1 , -6 1/2 )

The value of the point A ( x , y ) = A ( 1 , -6 1/2 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-6 1/2 = ( 1/2 ) 1 - 7

-6 1/2 = 1/2 - 7

-6 1/2 = -6 1/2

Therefore , the ordered pair A ( 1 , -6 1/2 ) satisfies the equation

b)

( 2 , 8 )

The value of the point A ( x , y ) = A ( 2 , 8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

8 = ( 1/2 ) 2 - 7

8 = 1 - 7

8 ≠ -6

Therefore , the ordered pair A ( 2 , 8 ) does not satisfy the equation

c)

( -2 , -8 )

The value of the point A ( x , y ) = A ( -2 , -8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-8 = ( 1/2 ) ( -2 ) - 7

-8 = -1 - 7

-8 = -8

Therefore , the ordered pair A ( -2 , -8 ) satisfies the equation

d)

( 0 , -7 )

The value of the point A ( x , y ) = A ( 0 , -7 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-7 = ( 1/2 ) ( 0 ) - 7

-7 = 0- 7

-7 = -7

Therefore , the ordered pair A ( 0 , -7 ) satisfies the given equation

Hence , the ordered pair A ( 2 , 8 ) does not satisfy the equation

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The percent of decrease in the number of tokens is 30%.

From the information illustrated, Reggie bought 40 tokens to use at a family fun center. He used some of the tokens to ride go-carts and use the batting cages. He now has 28 tokens left.

The number used will be:

= 40 - 28

= 12

Therefore, the percentage decrease will be:

= Number used / Total tokens × 100

= 12 / 40 × 100

= 30%

The percentage is 30%.

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There are 13340783196 ways to allocate marks to the questions.

It is given that the exam has 12 problems.

There are 11 questions that need to be assigned at least 5 marks while the last answer needs to be assigned at least 10 marks.

Hence the least marks to be assigned

= 11 X 5  + 10

= 65.

Hence are left with assigning 35 marks.

here,

n = 12

r = 35

In this type of problem, we need to use the formula

C(n + r -1 , r)

= ⁴⁶C₃₅

= 46! / (35! X 11!)

Hence no. of way to assign marks

= 13340783196 ways.

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After calculating the angles, we know that the value of x is (C) 99°.

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex.

The name "angel" comes from the Latin word "angulus," which means "corner."

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

So, according to the given figure of the diagram:

We can say that:

y + 116 = 180

y = 180 - 116

y = 64°

Now, calculate for x inside the given figure:

125 + 72 + 64 + x = 360

261 + x = 360

x = 360 - 261

x = 99°

Therefore, after calculating the angles, we know that the value of x is (C) 99°.

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Answer:

Step-by-step explanation:

-50 since an integer is the opposite of a whole number positive or negative.

Answer: -50

Step-by-step explanation:

The lower bound for given equation of  M is 25.45.

What is lower bound?

An element of K that is greater than or equal to each element of S is referred to as an upper bound or majorant in mathematics, particularly in order theory.

An element of K that is less than or equal to each element of S is referred to as a lower bound or minorant of S.

Let,

[tex]M = \frac{p-2b}{2} \\p = 68.3\\b = 8.7[/tex]

We have to find the lower bound for M.

Plug the values of p and b in the given equation.

[tex]M = \frac{68.3 - 2(8.7)}{2}\\ M = \frac{68.3 - 17.4}{2} \\M = \frac{50.9}{2}\\ M = 25.45[/tex]

Hence, the lower bound for M is 25.45.

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Answer:

0.5ft

Step-by-step explanation:

To enlarge a figure by scale factor of 1 , multiple the coordinates of pre-image by 1 though scale factor 1 won't affect anything .

Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is the ratio of the sizes of the original figure with the dilated figure.

The scale factor can either increase the size of an object or decrease the size of an object.

The basic formula:

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Enlarging a shape means to change its size. To enlarge a shape, multiply all lengths of the shape by the scale factor. The scale factor tells us how many times larger the shape will be.

When the scale factor is 1 , a copy of a pre-image form . No, change in the image will happen . You will produce you an original image.

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Answer: 1-squareroot of 11 (Nominator) over 2 (dominator), 1+ of 11 (Nominator) over 2 (dominator

Step-by-step explanation:

Answer: stars

Step-by-step explanation: if every 5th row has moons, then only the rows that are multiples of 5 have moons such as row 5, row 10, row 15 etc. since every other row has stars and 24 isn’t a multiple of 5, row 24 has stars :)

Answer:

Step-by-step explanation:

First row has moons, every fifth has moons. Therefore, 1, 6, 11, 16, 21, 26.

So the 24th row has stars.

The estimated length of each paper clip is  0.6785 inches.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, it takes exactly 26 paper clips laid end to end to make a length of  [tex]17\frac{7}{8}[/tex]  or (17×8 + 7)/8 = 143/8 inches.

∴ The length of each clip is (143/8)/26 inches.

= 0.6785 inches.

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The sampling distribution of the sample mean is a normal distribution with a mean of 2.3 crimes per day and a standard deviation of 0.2 crimes per day centered around population mean.

This distribution is centered around the population mean, and its standard deviation is much smaller than the population standard deviation, indicating that the sample mean is a more reliable measure of the population mean than individual observations.

1. The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviation of 2 crimes per day.

2. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated.

3. The sampling distribution of the sample mean is a normal distribution with a mean of 2.3 crimes per day and a standard deviation of 0.2 crimes per day.

4. This distribution is centered around the population mean, and its standard deviation is much smaller than the population standard deviation, indicating that the sample mean is a more reliable measure of the population mean than individual observations.

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AAA is not a congruence shortcut.

SSS, SAS, ASA, and AAS are the four shortcuts that let students know that two triangles must be congruent.

Two figures are considered to be "congruent" if they can be positioned precisely over one another.

Both of the bread slices are the same size and shape when stacked one on top of the other.

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the shapes, the shape and size should remain the same.

AAA is not a congruence shortcut we can easily proof.

Angle-Angle-Angle if we take 2 triangles all the angles are 60°.

but there may be a chance that both triangles side length are not same

one triangle has bigger length that the other.

AAA is not sufficient for  a congruence shortcut.

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For the given pair of equations, the given ordered pair does not represent the solution.

Given is the equation -

7a + 8b = 3

For [a] = 0 and [b] = 1, we can write -

7 x 0 + 8 x 1 = 3

8 ≠ 3

Therefore, the points does not represent the solution to the equation given.

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The student react:  Ask for a cost-of-living increase to her stipend.

"Information available from the question"

In the question:

An economics graduate student in the united states earns an $18,000 stipend per year. the u.s. sees significant inflation.

How might the student react?

Now, According to the question:

Inflation in the economy means that the price level will rise. This would lead to a decline in purchasing power. The real income of the student will decline because of the rise in price. In this situation, the student can ask for a raise in stipend proportionate to increase in the price level to counterbalance the inflationary pressures.

Hence, Ask for a cost-of-living increase to her stipend.

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Answer: 20/48=0.416 repeat

Step-by-step explanation: All I know for probability is you divide the chances of winning by total number of chances winning. Example if you by one panthers hockey ticket with 100 of other panthers hockey tickets being sold the probability is 1/100. I hope this helps

Answer:

66

Step-by-step explanation:

[tex]\binom{12}{2}=\frac{12!}{10!21}=\frac{12 \cdot 11}{2}=66[/tex]

Answer:

Step-by-step explanation: No f(x) is not an inverse of g(x)

Answer:30

Step-by-step explanation:

30%x100

Answer:

The correct values for points A, B, C, and D on a number line going from negative 2 to positive 2 in increments of 1 are:

A = negative 2

B = negative 3/4

C = negative 1/4

D = 1/4

This can be determined by noting that each mark on the number line represents a distance of 1/4, and by counting the number of marks to the right or left of the given points. For example, point B is 1 mark to the right of negative 2, which means it is located at negative 2 + 1/4 = negative 3/4. Similarly, point C is 1 mark to the left of negative 1, which means it is located at negative 1 - 1/4 = negative 1/4. The other points can be determined in the same way.

Step-by-step explanation:

Answer:

It is A the 1st one

Step-by-step explanation:

A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth

When the scale factor of the map is less than 1, then the location will be above the map projection plane

The scale factor is used in the UTM mapping systems.

UTM stands for Universal Transverse Mercator, it is the coordinate grid used for the map projection.

The scale factor is an important part in the UTM mapping. Because it is used to show the distortion from the mapping system. Distortion is because of the Earth is mapped into flat surface.

So we can divide the surface into two, the surface above the mapping projection and the surface below the mapping projection

If the scale factor is less than 1 the location will be above the map projection plane and if the scale factor is greater than 1 the location will be below the map projection plane

Therefore, the scale factor less than 1 shows the location above the projection

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The ratio of  a: b is = 5:7

Here the ratio is a:b

When the prices are both decreased by £10, the new ratio

= a-10 : b-10

When the prices are both increased by  £5, the new ratio

= a+5 : b+5

By the given conditions,

a-10 : b-10 = 3:5

or, [tex]\frac{a-10}{b-10\\}[/tex] =[tex]\frac{3}{5}[/tex]

or, 5(a-10) = 3(b-10)

or, 5a -50 = 3b-30

or, 5a -3b = 20 .... ...(1)

and a+5 : b+5 =3 : 4

or,[tex]\frac{a+5}{b+5}[/tex] = [tex]\frac{3}{4}[/tex]

or, 4(a+5) = 3(b+5)

or, 4a +20 = 3b+15

or, 4a-3b= -5 .... ...(2)

subtract the equation(2) from equation(1)

   5a -3b - (4a -3b) =20 - (-5)

or, 5a-3b-4a+3b = 20+5

or, 5a-4a = 25

Therefore,  a =25

Putting a=25 in equation (1), we get

 125-3b=20

or, 3b= 105

therefore, b=35

a :b =25:35

       = 5:7

Hence, the ratio of  a: b = 5:7

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Answer:

I am so sorry but I dont see attachment

The probability of the given event is 1/9.

The odds against the event are 8 to 1.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

When we roll 2 dice, then

Sample space i. e possible outcomes are

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(S) = 36

Let A be the event of getting a total of 5.

Therefore,

A = {(1, 4), (2, 3), (3, 2), (4, 1)}

⇒ n(A) = 4

⇒ P(A) = Probability of A = n(A) / n(S) = 1 / 36 = 1/9

(a) Probability of given event = 1/9

(b) Odds against the event = 1- P(A) / P(A)

                                             = (1 - 1/9) / (1/9)

                                             = (8/9) / (1/9)

                                             = 8/9 x 9/1

  Odds against the event    = 8/1

The reduced odds against the event are 8 to 1.

Hence, the probability of the given event is 1/9.

The odds against the event are 8 to 1.

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Answer: 120 copies

Step-by-step explanation:

Takes 480 divided by 4 = 120 copies per minute