Geraldo recently saw a newspaper ad for a new version of his laptop. The projected price is $400.00, and the laptop will be out on the market in about one year. Geraldo wants to purchase a new laptop but is wondering if he should wait a year. With 2.5% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw in the ad?

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

find the cost of the painting of a rectangular box of length 6m breadth 4m and height 3m at the rate of rs.25 per meter square

According to the question, first we need to get the T.S.A. or Total Surface Area of the cuboid then dividing it by ₹ 0.25 we can get the cost. After solving the concept will be more clear.

Let's start :

Here,

l represents length

b represents breadth

h represents height

Now, putting the values of all these we get

Now, we are given that cost of every square metre costs ₹ 0.25

So, for 108 m² it will cost = ₹ 108 × 0.25 = ₹ 27

Hence, cost of painting the rectangular box is ₹ 27

Answer:Rs.2700

Step-by-step explanation:step1is 2[6*3]+2[6*4]=84

step2is 2[3*4]=24

24+84=108*25=2700

Options :

A. Each roll has a 0.117 probability of being divisible by 3.

B. Each roll has a 0.333 probability of being divisible by 3.

C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.

Answer: B. Each roll has a 0.333 probability of being divisible by 3.

Step-by-step explanation:

Sample space for a six-sided number cube :

1, 2, 3, 4, 5, 6

Number of outcomes divisible by 3:

(3, 6) = 2

Probability of an event = Number of required outcomes / total number of possible items

Probability (getting a number divisible by 3):

(Number of outcomes divisible by 3 / total outcomes in sample space)

Probability (getting a number divisible by 3):

2 / 6 = 1/3

= 0.333

Answer:

Hey there!

A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.

3/-1=-3, so  the slope is -3.

Let me know if this helps :)

Answer: g(x) f(x) h(x)

Step-by-step explanation:

The order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is is g(x) >f(x) > h(x)

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

It is a measure of how much the function changed per unit, on average, over that interval.

Given,

[tex]f(x) = 16(\frac{1}{2})^{x}[/tex]

interval = [0,3]

[tex]f(0)= 16(\frac{1}{2})^{0} =16 \\f(3)= 16(\frac{1}{2})^{3} =2[/tex]

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change= [tex]\frac{2-16}{3-0}=-4.67[/tex]

Consider the function g(x)

g(0)=21

g(3)=1

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{1-27}{3-0}=-8.67[/tex]

Consider the exponential function

at x=0 the exponential function h =4

at x=0 the exponential function h =-3

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{-3-4}{3-0}=-2.33[/tex]

Hence, the order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is g(x) >f(x) > h(x)

Learn more about Function, Exponential function and Average rate of change here

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Answer:

100, 101, 102, 103, 104

Step-by-step explanation:

Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.

Answer:

l=30

or

22 it is the coret anser

The measure of angle Q in the triangle QMN is 52.83°

An equation is an expression that shows the relationship between two or more variables and numbers.

For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:

a² = b² + c² - 2bc * cos(A)

In triangle QMN, QM = 18, MN = 17, QN = 20, hence:

17² = 18² + 20² - 2(18)(20) * cos(Q)

Q = 52.83°

The measure of angle Q in the triangle QMN is 52.83°

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

53

Step-by-step explanation:

its rounded

Answer:

y = -2/5x - 4

Step-by-step explanation:

Answer:

4[tex]\sqrt{2}[/tex] cm

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.

Using Pythagoras' identity in the right triangle , then

s² + s² = 8²

2s² = 64 ( divide both sides by 2 )

s² = 32 ( take the square root of both sides )

s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]

Answer:

Given :

To Find :

Using Formula :

Here is the formula to find the side of square if diagonal is given :

[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]

Where :

Solution :

Substituting the given value in the required formula :

[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]

Hence, the length of the side of square is 5.6 cm.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

X=13

Step-by-step explanation:

Answer: 11136 grams

≈ 11.14 kilograms  

Step-by-step explanation:

Given, Each package has 126 grams of granola, 245 grams of chocolate chip cookies , and 325 grams of nuts in it.

Total weight of each package =  126 grams + 245 grams +  325 grams

= 696 grams

If they have 16 care packages, then total weight of packages = 16 x (Total weight of each package)

= 16 x 696 grams

=  11136 grams

≈ 11.14 kilograms   [ 1 kilogram = 1000 grams]

Answer:

The answer is

[tex] \sqrt{65} \: \: \: units[/tex]

Step-by-step explanation:

To find the distance between two points we use the formula

[tex] \sqrt{ ({x1 - x2})^{2} + ( {y1 - y2})^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

From the question the points were

(-8,5), (-1.1)

Substitute the values into the above formula

That's

[tex] \sqrt{ ({ - 8 + 1})^{2} + ({5 - 1})^{2} } [/tex]

[tex] \sqrt{ ({ - 7})^{2} + {4}^{2} } [/tex]

[tex] \sqrt{49 + 16} [/tex]

We have the final answer as

[tex] \sqrt{65} \: \: units[/tex]

Hope this helps you

Answer:

This is marked evenly from 0 to 100

This means that the total number of possible outcomes is:

D = 101

and the set of possible outcomes is:

O = {0, 1, 2, 3, ..., 100}

Now, the probability to geting between 42 and 72 seconds is equal to the quotient between the number of outcomes between 42 and 72, and the total possible outcomes.

The number of outcomes between 42 and 72 is:

72 - 42 = 30

Then the probability is:

P = 30/101 = 0.297

Then, out of the 100 players, we can expect that:

0.297*100 = 29.7 ≈ 30

(we rounded to the next whole number)

30 of them get between 42 and 72 seconds.

Answer:

All positive Real numbers

Answer:

111

Step-by-step explanation:

Reducing the given expression:

74(6)       37(6)           111

--------- =  ----------  =  ---------- = 111

   4              2                1

Answer:

Step-by-step explanation:

[tex] \mathsf{(74) \times ( \frac{6}{4} )}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

⇒[tex] \mathsf{ \frac{74 \times 6}{4 \times 1} }[/tex]

⇒[tex] \mathsf{ \frac{444}{4} }[/tex]

⇒[tex] \mathsf{111}[/tex]

[tex] \mathrm{Hope \: I \: helped !} [/tex]

[tex] \mathrm{Best \: regards !}[/tex]

[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]

Creating equations

[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]

[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5[/tex]

[tex]\\ \sf\longmapsto 4y=5+3[/tex]

[tex]\\ \sf\longmapsto 4y=8[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto y=2[/tex]

[tex]\\ \sf\longmapsto x-2y=-3[/tex]

[tex]\\ \sf\longmapsto x=-3+2y[/tex]

[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]

[tex]\\ \sf\longmapsto x=-3+4[/tex]

[tex]\\ \bf\longmapsto x=1[/tex]

[tex]\\ \sf\longmapsto 2y-z=3[/tex]

[tex]\\ \sf\longmapsto z=2y-3[/tex]

[tex]\\ \sf\longmapsto z=2(2)-3[/tex]

[tex]\\ \sf\longmapsto z=4-3[/tex]

[tex]\\ \bf\longmapsto z=1[/tex]

Answer:

63

Step-by-step explanation:

pie multiply 2 sq. 2 multiply with 5

Answer:

The correct option is;

A. The total points Shelly earned

Step-by-step explanation:

The given details are;

The number of tasks completed by Shelly and Terrence in the game = x

The total points scored by Terrence = 20 less than the total point scored by Shelly

The expression for Terrence's total point is 90·x - 20

Let the total points Shelly earned = Y

Therefore since the total points scored by Terrence = 20 less than the total point scored by Shelly, we have;

The total points scored by Terrence = Y - 20

Comparing the two expressions for the total points scored by Terrence which are;

90·x - 20 and Y - 20 we have;

90·x - 20 = Y - 20

Adding 20 to both sides of the equation gives;

90·x - 20 + 20= Y - 20 + 20

Which gives;

90·x = Y

Therefore, the first term of the expression 90·x - 20, which is 90·x is equal to Y, which is the total points Shelly earned

The correct option is therefore the total points Shelly earned.

Answer:

A. The total points Shelly earned

Step-by-step explanation:

Hope this helps!

Have a great day! :)

Answer:

3 chocolate bars, and 2 graham crackers

Someone forgot the marshmallows...... :P

Step-by-step explanation:

Chocolate bars = 8 pack

Graham Crackers = 12pack

To have no crackers or chocolate left over, we need to find LCM

Factors of 8:

8, 16, 24, 32, 40, 48, 56, 72....

Factors of 12:

12, 24, 36, 48, 60, 72

The smallest LCM is 24

Chocolate bars:

24/8 = 3

Graham Crackers:

24/12 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3 packs of chocolate and 2 packs of crackers

Step-by-step explanation:

the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:

Prime factors of 8: 2 x 2 x 2

Prime factors of 12: 2 x 2 x 3

multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.

If you need me to draw the factor tree, just ask.

The dilation rule (x,y) --> (1.5x, 1.5y) says to multiply each coordinate by the scale factor 1.5

Point A in blue is located at (5,5). After dilation, it will move to A ' (7.5, 7.5)

Point B is located at (0,2) and it moves to B ' (0,3)

Point C is located at (1,-1) and it moves to C ' (1.5, -1.5)

This all matches with what is shown below, so the answer is choice B

Answer:

8x^2-4x+5

Step-by-step explanation:

(3x^2+4)-(-5x^2+4x-1)

Let's start by removing the parentheses.

3x^2+4-(-5x^2)-4x+1

Now let's reorder the equation to make it easier to combine like terms.

3x^2+5x^2-4x+1+4

Combine like terms.

8x^2-4x+5

Answer:

[tex]slope=3[/tex]

Step-by-step explanation:

Use the following equation the find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]

Solve:

[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]

Simplify. Two negatives make a positive:

[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]

Simplify fraction by dividing top and bottom by 5:

[tex]\frac{15}{5}=\frac{3}{1} =3[/tex]

The slope is 3.

:Done

The slope of the line that passes through the points (-10, 8) and  (-15, -7) is 3 and thsi can be determined by using the point-slope formula.

Given :

The line that passes through the points (-10, 8) and  (-15, -7).

The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and  (-15, -7):

Step 1 - The slope formula when two points are given is:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Step 2 - Substitute the known terms in the above formula.

[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm m = \dfrac{15}{5}[/tex]

m = 3

For more information, refer to the link given below:

https://brainly.com/question/2514839

Answer:

  7/6

Step-by-step explanation:

You have correctly graphed the line, so you know that the rate of change is ...

  ∆d/∆t = 7/6

d changes by 7/6 units for each unit change in t.

Answer:

either 2 or 2 1/2

Step-by-step explanation:

Since the pre-image gets bigger, the scale factor is larger than 1.

Answer:

Step-by-step explanation:

1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]

  [tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]

 Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

2). -2.1b + 5.3 = b - 3.1b + 5.3

   -2.1b + 5.3 = -2.1b + 5.3

Since left side of the equation is exactly same as right side of the equation.

Equation will have infinitely many solutions.

3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]

  [tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]

Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c

   8.9c - 1.5 = 8.9c - 1.5

 Left side of the equation is same as right side of the equation.

Therefore, there will be infinitely many solutions of the equation.

Answer:

C and f

Step-by-step explanation:

Hope this helps