Use the graph below to enter a single translation rule. Complete the rule that describes the translation, 819 (x,y) - (Type an ordered pair.)

The dimension of the length of the classroom in the drawing is calculated to be 7 ft

The scale of a map represents by how much a map is reduced or increased. Most of the times the map is smaller than what is being represented hence the scale is usually a reduction.

Give that

1 in in drawing represent 7 ft in actual length

If the actual length of your classroom is 49 feet then we solve as follows to get the dimension in the drawing:

1 in = 7 ft

? in = 49 ft

cross multiplying gives

7 * ? = 49 * 1

? = 49 / 7

? = 7 in

Hence, the conclusion is that the unknown dimension in the drawing represented as ? is equal to 7 in.

This implies that 7 in in the drawing represents actual distance of 49 ft and this is a reduction

Learn more about scale drawing: https://brainly.com/question/810373

#SPJ1

a) 10 men are selected at random, the probability their average height is above 72 inches is 0.0122.

b) Exactly one man is selected at random, the probability his average height is above 72 inches is 0.0122.

c) The 80th percentile for the average height of 10 men is 0.0097%.

d) The probability the average height of 10 men is between 70 and 71 inches is 0.13607.

Mean = 69.7 inches

Standard Deviation = 2.8 inches

a) Using normal distribution,

P(Y > 72) = P(Y - mean > 72 - mean)

P(Y > 72) = P((Y - mean ÷ SD) > (72 - mean ÷ SD))

P(Y > 72) = P(Z > (72 - mean ÷ SD))

P(Y > 72) = P(Z > (72 - 69.7 ÷ 2.8))

P(Y > 72) = P(Z > 2.25)

P(Y > 72) = 1 - P(Z  ≤ 2.25)

P(Y > 72) = 0.0122

b) P(man's height is above 72 inches) = 0.0122

c) (80 × 0.0122) ÷ 100

= 0.0097%

d) P( 70 > Y > 71) = P(70 - mean > Y - mean > 71 - mean)

P( 70 > Y > 71) = P((70 - mean ÷ SD) > (Y - mean ÷ SD) > (71 - mean ÷ SD))

P( 70 > Y > 71) = P((70 - mean ÷ SD) > Z > (71 - mean ÷ SD))

P( 70 > Y > 71) = P((70 - 69.7 ÷ 2.8) > Z > (71 - 69.7 ÷ 2.8))

P( 70 > Y > 71) = P(0.107 > Z > 0.464)

P( 70 > Y > 71) = 0.13607

Learn more about normal distribution at

https://brainly.com/question/19087804?referrer=searchResults

#SPJ4

The value of x = -12.

Define Function.

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x equals x divided by 2")

The given expression is

H(x)=-5/6 x

also, H(x) = 10

so, put H(x) value in given expression,

10 = -5/6 x

Now, solve for 'x'

-5x = 60

x = 60/(-5)

x = -12

Therefore, the value of x = -12

To read more about the Function.

https://brainly.com/question/25870256

#SPJ13

Answer:

yes

Step-by-step explanation:

An inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Here, it is given that :

Time for setting up the game = 5 minutes

Time to play each level = 7 minutes

Let  l represent the number of levels played.

So, Time to play l levels = 7l

So, b = 5+7l

Now we are required to  Write an inequality to determine the number of levels you can play in 60 minutes.

So, the inequality becomes :

5 + 7l ≤60

Hence an inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60

check and know more about inequality here :

https://brainly.com/question/21209456

#SPJ1

Answer:

A

Step-by-step explanation:

once tearra started buying games her money decreased by $35.50

The coordinate of the midpoint AB is (1/2, 1/2)

From the question, the coordinates of the points are given as

A = (-2, 2)

B = (3, -1)

The midpoint of a line or points is then calculated using the following midpoint formula

Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)

Where x and y are the coordinates of A and B

Substitute the known values in the above equation

So, we have the following equation

AB = 1/2 * (-2 + 3, 2 - 1)

Evaluate the sum

AB = 1/2 * (1, 1)

Evaluate the products

AB = (1/2, 1/2)

Hence, the midpoint is (1/2, 1/2)

Read more about midpoint at

https://brainly.com/question/25886396

#SPJ1

Which property is demonstrated below?

a(b + c) = (a*b) + (a*c)

O Inverse property

O Distributive property

O Communitive property

O Identity property

The dimensions are Width = 7 feets ; length = 20 feets

As given,

Meadow area is 140 square feet.

Height = W (smaller dimension and 2 sides)

Height = L (longer dimension and 1 side)

Fence yards equal 34 feet;

Hence,

L + W = 34

L + 2W = 34

L = 34 - 2W - - - (1)

Recall:

Area = L * W = 140

Substitute value of L

140 = (34 - 2W) * W

140 = 34W - 2W²

2W² - 34W + 140 = 0

W² - 17W + 70 = 0

W² - 10W - 7W + 70 = 0

W(W - 10) - 7(W - 10) = 0

(W - 10) = 0 or (W - 7) =0

W = 10 or W = 7

We choose the shorter width because length should be as long as possible:

W = 7

L + 2W = 34

L = 30 - 14

L = 20 feets

Therefore, The measurements are 7 feet wide and 20 feet long.

To learn more about Area click here:

brainly.com/question/20693059

#SPJ4

Answer: B

Step-by-step explanation:

The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].

The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].

The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].

The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].

we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

it can also be written as a fraction :

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

The sequence is important.

We have that:

Paul biked 7 miles on Saturday.

Paul bike 15 miles on Sunday.

The total distance, in miles, the Paul biked during Saturday and Sunday is:

We are to determin if the following sequence are arithmetic and also fin their common difference if they are arithmetic.

(1) -3, -9, -27, -81, ................

This sequence is not an arithmetic sequence because theere is no common difference.

-9 - -3 = -27 - -9

-9 + 3 = -27 + 9

-6 ≠ -18

Therefore is not an arithmetic sequcence.

(2) 13, 17, 21, 25, ......................

This sequence is an arithmetic sequence.

It has a commdon difference of 4

17 - 13 = 21 - 17

4 = 4

Therefore, the sequence is an arithmetic sequence.

(3) -6, -2, 2, 6, .........................

This sequence is an arithmetic sequence.

It has a common difference of 4

-2 - -6 = 2 - -2

-2 + 6 = 2 + 2

4 = 4

Therefore, the sequence is an arithmetic sequence

Answer:

Regular Polygon:

D

Irregular Polygon:

A, B, F

Not a Polygon:

E, C

Step-by-step explanation:

Polygons are shapes with straight lines.

Regular polygons have uniform side lengths and angles.

Solution

Transform figure using the rule (x , y) = (-x , y - 8)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Lines f and g look to be parallel to each other.

Answer:

Lines G and F

Step-by-step explanation:

Parallel means never touching, and they usually run alongside eachother, that's why G and F look parallel.

Please mark brainliest!

The values of f(2), f(4) and f(-3) for the function, f(x) = [tex]x^{2} -3x-4[/tex], are -6, 0 and 14 respectively.

According to the question,

We have the following information:

f(x) = [tex]x^{2} -3x-4[/tex]

Now, to find the values of each function we will put the values in place of x.

We will find the value of f(2) by putting 2 in place of x.

f(2) = [tex](2)^{2} -3(2)-4[/tex]

f(2) = 4-6-4

f(2) = -2-4

f(2) = -6

(We know that the numbers with negative sign are added but the result always remains in negative.)

We will find the value of f(4) by putting 4 in place of x:

f(4) = [tex](4)^{2} -3(4)-4[/tex]

f(4) = 16-12-4

f(4) = 4-4

f(4) = 0

Now, we will find the value of f(-3) by putting -3 in place of x:

f(-3) = [tex](-3)^{2} -3(-3)-4[/tex]

f(-3) = 9+9-4

f(-3) = 18-4

f(-3) = 14

Hence, the values of f(2), f(4) and f(-3) are -6, 0 and 14 respectively.

To know more about function here

https://brainly.com/question/12431044

#SPJ1

∵ 1/3 of 9 means multiply it by 9

3 is 1/3 of 9 cookies and lollipops

Answer:

1/3 of 9 is 3.

Step-by-step explanation:

Think of it like this: what number can be added to itself 3 times to get 9? The answer is 3! 3 + 3 + 3 = 9. So, 1/3 of nine is 3 because 9 split into 3 sections would be 1/3 + 1/3 + 1/3 = 1 and 3 + 3 + 3 = 9. So, 1/9 simplified is 1/3!

Hope that helps! Have an amazing rest of your day! Please consider giving me the brainliest! :)

we gotta know the conversion between cups and gallons

We know

1 cup (US) = 0.0625 gallons

So, 2 gallon would be 2/0.0625 = 32 cups

So, the problem in cups is:

32 cups = $23.36

17 cups = $20.06

Definitely 32 cups for 23.36 is better buy

2 gallons for $23.36 is the better buy

Note:

23.36/32 = $0.73 per cup

20.06/17 = $1.18 per cup

Given:

The measure of angle of arrc SQ is 160°.

The measure of angle of arc PR is 102°.

The objective is to find the measure of angle x.

Since, the angle x is away from te center of the circle.

Then, the formula to find the value of angle x is,

Now, substitute the given values in the above formula.

Hence, the value of x is 131°.

To calculate hte possible values of y you have to apply the Pythagoras theorem:

Where

c will be the distance between the given points, and the hypothenuse of a right triangle

a will be the base of a theoretical triangle below the hypothenuse, you calculate it as (x2-x1)

b= will be the heigth of said triangle, you calculate it using the y-coordinates (y2-y1)

So:

Replace the expression with the given measurements to calculate the y-coordinate of the first point:

The possible values for y, since its

Horizontal line with the given function: y = 4

Explanation:

Since the midline of a sine function is the horizontal centerline about which the functions oscilliart above and below, the corresponding line here is y = 4 with x = 0.

NB:

The midline is parrallel to y = 0 ~ the x-axis.

The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is  0.26724 or 26.724%

Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85

The probability that the first productive well is found on the third attempt is when outcomes are independent

P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375

We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85

We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p

Then corresponding probabilities are added

p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276

Using the complement rule:

p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %

Problem on finding the probability of success on rolling a die:

brainly.com/question/13012531

#SPJ4

Answer:

39% of 80 = 39.2

74% of 240 = 177.6

91% of 82 = 74.62

66% of 160 = 105.6

9% of 71 = 63.9

126% of 80 = 100.8

234% of 145 = 339.3

97.9% of 39 = 38.181

52% of 57.9 = 30.108

33% of 15.3 = 5.049

Step-by-step explanation:

In order to find the percentage of each equation, we will use the first one as an example. We take the 39%, and convert it to 0.39 and get rid of the %. Then, "of" means multiplication.

So, we have:

0.39 x 80 = 39.2

Answer:

x=2

Step-by-step explanation:

-3x+1=-5

Subtract 1 from both sides.

-3x=-6

Divide -3 from both sides.

x=2

If f(x)=-5 and f(x)=-3x+1, x=2.

The remainder when  2 to the 100th power is divided by 5 is 8.

The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:

a^mn = a^m(n)

So, applying this here, we will have

2^10 (10)/5

Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.

Now, 2^10/5

204.8

The remainder as we can see from this result is 8. Thus we arrive at the answer 8.

Learn more about exponents here:

https://brainly.com/question/109611

#SPJ1

Considering the situation described, it is found that:

a) The numeric values of the piecewise function are as follows:

b) The new piece-wise function is:

c) The new piece-wise function is:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the rule is one for times up to 40 hours, and another for times greater than 40 hours, hence the numeric values are given as follows:

For item b, the new reference is of 38 hours, hence the function is:

For item c, the new hourly wage is of 12 hours, hence the rule is:

More can be learned about piecewise functions at brainly.com/question/19358926

#SPJ1

Answer:

a) Difference of squares:

[tex]10000 - {x}^{2} [/tex]

b) The area of the parking lot decreases because x^2 is subtracted from 10,000.

[tex]10000 - {1}^{2} = 10000 - 1 = 9999[/tex]

[tex]10000 - {2}^{2} = 10000 - 4 = 9996[/tex]

The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenths position if the number is five or above.

To what decimal place do you round?

Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. Remove all the numbers that are present after the tenth place if the value is less than 5, but keep the tenth place value in place otherwise. As an illustration, if you want to round up to the nearest.

Triangle Area Solver

A=hbb

2

b Base

Enter value

hb Height

Enter value

γ

T o learn more about Nearest tenth refer:

https://brainly.com/question/859948

#SPJ13