The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 80.4° is added to the data, how does the range change?

The range decreases to 46°.
The range stays 48°.
The range stays 49°.
The range increases to 50°

Answers

Answer 1

The range stays 48°.

To determine how the range changes when a value of 80.4° is added, we need to follow these steps:
Identify the minimum and maximum values in the original data set.
Calculate the original range by subtracting the minimum value from the maximum value.
Add the new value (80.4°) to the data set.
Identify the new minimum and maximum values.
Calculate the new range.
Compare the original and new ranges.

The minimum value is 57°, and the maximum value is 105°.
The original range is 105° - 57° = 48°.
Add the new value: [58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 80.4].
The new minimum value is still 57°, and the new maximum value remains 105°.
The new range is still 105° - 57° = 48°.
Since the original range and the new range are both 48°, the range does not change.
The range stays 48°.

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Related Questions

I NEED HELP ASAP!!! IT'S DUE TONIGHT!!

Answers

Answer:

5

Step-by-step explanation:

0+5+0= idc

how do you do this problem?

8x^2+40x=0

Answers

Answer:

x=0 or x=-5

Step-by-step explanation:

the step by step explanation is uo above in the image. it will help you understand it

Answer:

Step-by-step explanation:

8x^2+40x=0. 8x(x+5)=0. 8x=0. Or x+5=0. So. X=0.x=_5

is this a supplement or congruent

Answers

Answer:

The angles are supplementary.

Find f'(x), where f(x)= (2√x+1){(2-x)/(x^2+3x)}

Answers

The derivative of f(x) of (2√x+1){(2-x)/(x^2+3x)}, is f'(x) = (-x^3+5x+6)/[x(x+3)^2√x].

To find the derivative of the function f(x) = (2√x+1){(2-x)/(x^2+3x)}, we can use the product rule and the quotient rule.

First, let's find the derivative of (2-x)/(x^2+3x):

f1(x) = (2-x)/(x^2+3x)

f1'(x) = [(-1)(x^2+3x)-(2-x)(2x+3)]/(x^2+3x)^2

  = (-x^2-3x-4x+6)/(x^2+3x)^2

  = (-x^2-x+6)/(x^2+3x)^2

Next, let's find the derivative of 2√x+1:

f2(x) = 2√x+1

f2'(x) = 2(1/2√x) = 1/√x

Using the product rule, we get:

f'(x) = f1(x)f2'(x) + f2(x)f1'(x)

 = [(2-x)/(x^2+3x)](1/√x) + (2√x+1)(-x^2-x+6)/(x^2+3x)^2

 = (2-x)/(x^2√x+3x√x) - (x^2+4x-6)/(x^2+3x)^2√x

 = (2-x)/(x(x+3)√x) - (x^2+4x-6)/(x^2+3x)^2√x

Simplifying the expression, we get:

f'(x) = [(2-x)(x^2+3x) - (x^2+4x-6)x]/[x(x+3)^2√x]

 = (-x^3+5x+6)/[x(x+3)^2√x]

Therefore, the derivative of f(x) is:

f'(x) = (-x^3+5x+6)/[x(x+3)^2√x]

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Which of the following options have the same value as
30
%
30%30, percent of
81
8181?
Choose 3 answers:
Choose 3 answers:

Answers

Answer: 30, 30%, 8181

Step-by-step explanation:

Step 1: I looked at the question and saw that it was asking which of the given options had the same value as 30%30 and 81 8181.

Step 2: I looked at the list of options and saw that 30, 30%, and 8181 all had the same value as the given numbers.

Step 3: I chose those three options as my answer.

Write a system of inequalities for each graph

Answers

a)System of inequalities of the graph is

y-x-2≤0

y-x+3≥0

b)System of inequalities of the graph is

y-x≥0

y+x≥0

c)System of inequalities of the graph is

y-1≤0

y-x-1≤0

define inequality

In mathematics, an inequality is a statement that two quantities or expressions are not equal. Specifically, an inequality describes a relationship between two values, indicating whether one value is greater than, less than, or equal to another value.

Part a)

First line coordinates

X y

-2 0

0 2

slope=2-0/0+2=1

Equation of line is y=x+2

Second line coordinates

X y

3 0

0 -3

slope=-3-0/0-3=1

Equation of line is y=x-3

System of inequalities of the graph is

y-x-2≤0

y-x+3≥0

Part b)

First line coordinates

X y

0 0

-1 -1

slope=-1-0/-1-0=1

Equation of line is y=x

Second line coordinates

X y

0 0

1 -1

slope=-1-0/1-0=-1

Equation of line is y=-x

System of inequalities of the graph is

y-x>0

y+x≥0

Part c)

First line coordinates

y=1

Second line coordinates

X y

0 1

-1 0

slope=0-1/-1-0=1

Equation of line is y=x+1

System of inequalities of the graph is

y-1≤0

y-x-1≤0

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guys can anyone help me with my other SAT question"

The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (Note: Ignore the percent symbol when entering your answer. For example, if the answer is 42.1%, enter 42.1)

Answers

Answer: To solve this problem, we need to first find the average number of shoppers in the new store at any time and the average number of shoppers in the original store at any time, and then calculate the percent difference between the two.

Let's start by finding the average number of shoppers in the new store at any time. We know that 90 shoppers enter the store per hour, and each shopper stays for an average of 12 minutes, which is 0.2 hours. So the number of shoppers in the store at any time is:

90 shoppers/hour × 0.2 hours/shopper = 18 shoppers

Now let's find the average number of shoppers in the original store at any time. We don't have any information about the original store, so let's call the average number of shoppers in the original store "x". We want to find the percent difference between x and 18, so we need to calculate:

percent difference = |x - 18| / x × 100%

To solve for x, we need to use some algebra. We know that the number of shoppers entering the original store per hour is equal to the number of shoppers leaving the store per hour (assuming the store has a steady flow of shoppers and no one stays for more than an hour). So if we let t be the average amount of time each shopper stays in the original store, we can write:

x/t = shoppers entering the store per hour = shoppers leaving the store per hour = x/t

We can then solve for t:

x/t = x/t

x = x × t/t

x = t

So the average number of shoppers in the original store at any time is equal to the average amount of time each shopper stays in the store.

We don't know the average amount of time each shopper stays in the original store, but we can make an estimate based on the information we have about the new store. We know that the average amount of time each shopper stays in the new store is 12 minutes, or 0.2 hours. If we assume that the shopping behavior is similar in both stores, we can use this estimate for the original store as well.

So we have:

x = t = 0.2 hours

Now we can calculate the percent difference between x and 18:

percent difference = |x - 18| / x × 100%

percent difference = |0.2 - 18| / 0.2 × 100%

percent difference = 8800%

This means that the average number of shoppers in the new store at any time is 8800% less than the average number of shoppers in the original store at any time. However, this answer seems implausible, since a percent difference greater than 100% means that the new store has a negative number of shoppers!

It's possible that there was an error in the problem statement, such as a typo or a missing decimal point. If we assume that the average number of shoppers in the new store is actually 18 per hour (instead of 90 per hour), we get a more reasonable answer:

x = t = 0.2 hours

percent difference = |x - 18| / x × 100%

percent difference = |0.2 - 18| / 0.2 × 100%

percent difference ≈ 98%

So the average number of shoppers in the new store at any time is approximately 98% less than the average number of shoppers in the original store at any time.

Step-by-step explanation:

Geometry 1. Which of the following may not be true? Select all that apply. A. If a point and a plane intersect, the intersection is a line. B. If two lines intersect, both lines are in one plane. C. If two lines intersect but do not coincide, the intersection is a point. D. If two planes intersect but do not coincide, the intersection is a line. E. If two points lie in a plane, then the line that contains the points is in that plane. F. There is exactly one line through any two points.​

Answers

Answer:

There are two statements that may not be true:

B. If two lines intersect, both lines are in one plane.

F. There is exactly one line through any two points.

Statement B is not true because if two lines intersect at an angle, they are not in the same plane. This is known as skew lines.

Statement F is not true in non-Euclidean geometries, such as spherical or hyperbolic geometry. In these geometries, there can be multiple lines that pass through two points. However, in Euclidean geometry (which is what is typically taught in high school), there is exactly one line that passes through any two points.

Step-by-step explanation:

Answer: B. If two lines intersect, both lines are in one plane.

F. There is exactly one line through any two points

Step-by-step explanation:

The rest are true because I remember learning those in Geometry but B and F aren’t true because they just don’t make sense and aren’t true in general.

gabriel bought 16 pens 12 of the pens are blue what is
the percentage of the blue pens

Answers

Answer: 75%

Step-by-step explanation: 12 of 16 is expressed as 12/16. 12/16 is equal to .75 and a percent requires you to move the decimal place 2 to the right.

Determine the values of x where the function f(x) is not continuous. Label each discontinuity as removable, jump or infinite. f(x)={1/2x+5. x<=2 { x+3. x>2 Enter your answers as integers in increasing order. If there are no discontinuities, enter NA in both response areas and select continuous in both drop-down menus. If there is only one discontinuity, enter NA in the second response area and select continuous in the second drop-down menu.

Answers

The values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.

The function f(x) is defined as:

f(x) = {1/2x+5, x<=2

{x+3, x>2

To find the values of x where f(x) is not continuous, we need to check for three types of discontinuities: removable, jump, and infinite.

Removable discontinuity: This occurs when a function has a hole at a certain point, but can be made continuous by defining or redefining the value of the function at that point. In order for a discontinuity to be removable, the limit of the function as x approaches that point must exist.

To check for removable discontinuity, we need to check if the limit of the function as x approaches a certain point exists, but the function value is different from the limit. In this case, we only need to check the function at x = 2.

lim x->2- f(x) = lim x->2- 1/2x+5 = 6

lim x->2+ f(x) = lim x->2+ x+3 = 5

Since the limits from both sides are not equal, there is a removable discontinuity at x = 2. We can redefine the value of f(x) at x = 2 as 6 to remove the discontinuity.

Jump discontinuity: This occurs when the function has two distinct finite limits from both sides of a point, but the limits are not equal.

To check for jump discontinuity, we need to check if the limit of the function as x approaches a certain point exists from both sides, but they are not equal. In this case, we only need to check the function at x = 2.

lim x->2- f(x) = lim x->2- 1/2x+5 = 6

lim x->2+ f(x) = lim x->2+ x+3 = 5

Since the limits from both sides are not equal, there is a jump discontinuity at x = 2.

Infinite discontinuity: This occurs when the function approaches infinity or negative infinity as x approaches a certain point.

To check for infinite discontinuity, we need to check if the limit of the function as x approaches a certain point approaches infinity or negative infinity. In this case, there is no such point where f(x) approaches infinity or negative infinity.

Therefore, the values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.

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please answer , I really need an answer

Answers

The answer is 11:09

Step - by - step explanation

The bus will move at 10:38
It will arrive at 11:09


You will subtract 38 from 60( number of minutes per hour ) to reach 11:00

which will be 22 , then add 9 minutes to 22 which will give you 31 so it will take 31 minutes to arrive at Newtown

When playing a game of poker, how many five card hands consist of no face cards at all? (Note: face cards include jacks, kings and queens.)

Answers

Answer:In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings) and 40 non-face cards. To find the number of five card hands consisting of no face cards, we need to count the number of hands that include only non-face cards.

The number of ways to choose 5 non-face cards out of the 40 available non-face cards is:

C(40, 5) = (40!)/(5!35!) = 658,008

Therefore, there are 658,008 five card hands consisting of no face cards at all.

Step-by-step explanation:

Find the missing length.

Answers

Answer:

The missing length is 45

Step-by-step explanation:

CD || AB

[tex]\mathrm{\cfrac{EC}{AC} =\cfrac{ED}{BD} }[/tex]

[tex]\mathrm{\cfrac{20}{8} =\cfrac{?}{18} }[/tex]

[tex]\mathrm{\cfrac{?}{18}=\cfrac{20}{8}}[/tex]

Cancel the common factor, which is 4:-

[tex]\mathrm{\cfrac{?}{18}=\cfrac{5}{2}}[/tex]

Multiply both sides by 18:-

[tex]\mathrm{?=45^o}[/tex]

Therefore, the missing length is 45.

________________________

Hope this helps!

Question content area top

Part 1

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 6 if she rolls the two number cubes 252 times?

Answers

A sample space is a collection or a set of possible outcomes of a random experiment and using it we know that Tamara should assume that the sum of the two dice is 5 x 20.

What is sample space?

A sample space is a collection or a set of possible outcomes of a random experiment.

The sample space is represented using the symbol, “S”.

The subset of possible outcomes of an experiment is called events.

A sample space may contain a number of outcomes that depends on the experiment.

So, Let X = a number of times the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled n = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable X follows a Binomial distribution with parameters n = 180 and n = 1/9.

Then,

E(X) = np

Calculate how many times Tamara expects the two dice to sum to 5 as follows:

= E(X) = np

= 180 * 1/9

= 20

Therefore, a sample space is a collection or a set of possible outcomes of a random experiment, and using it we know that Tamara should assume that the sum of the two dice is 5 x 20.

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Complete question:

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes to be equal to 5 if she rolls the two number cubes 180 times?

HELPPPPPP MEEEEE PLEASEEEEEEEEE

Answers

Answer:6x-2y=8

Step-by-step explanation:

[tex]\left \{ {{3x-y=4} \atop {Ax-By=8}} \right. \\\frac{3x}{Ax} =\frac{y}{By} =\frac{4}{8}=\frac{1}{2}\\\frac{3}{A} =\frac{1}{2}\\A=6\\\frac{1}{B} =\frac{1}{2}\\B=2\\so, 6x-2y=8[/tex]

Answer:

6x - 2y = 8                            

Step-by-step explanation:

If:

3x - y = 4

⇒ 4* 2 = 8

then:

3*2 = 6

-1 * 2 = -2

The answer is:

6x - 2y = 8

5. A solid with volume 8 cubic units is dilated by a scale factor of k. Find the volume of the image for each given value of k. (Lesson 5-6)

a. k = 1/2
b. k = 0.6
c. k = 1
d. k = 1.5

Answers

The volume of the image after the dilation for given scale factor are:

a. k = 1/2: V = 4 cubic units

b. k = 0.6: V = 2.4 cubic units

c. k = 1: V = 8 cubic units

d. k = 1.5: V = 12 cubic units

Explain about the scale factor?

The ratio between comparable analyses of an object and an identification of that object is known as a scale factor in mathematics. The copy will all be larger if the scaling factor is a complete number. A fractional scaling factor means that the duplicate will be smaller.

An expansion happens when the scaling factor's absolute value exceeds one.Compression happens when the scale factor's absolute value falls below one.When the scale factor's absolute value is 1, neither expansion nor compression take place.

Volume of solid: 8 cubic units

a. k = 1/2

volume of the image : 1/2 *8 = 4 cubic units

b. k = 0.6

volume of the image : 0.6*8 = 2.4  cubic units

c. k = 1

volume of the image : 1*8 = 8 cubic units

d. k = 1.5

volume of the image : 1.5*8 = 12 cubic units

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please help with the following two questions :)

Answers

Answer:

10) -1.5

11) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

a cube and a sphere both have volume 512 cubic units. which solid has a greater surface area? explain your reasoning.

Answers

If the cube and sphere both have volume as 512 cubic units, then the solid that has a greater surface area is Cube.

we first find the side length of the cube and the radius of the sphere.

The volume of the cube is 512 cubic units,

We have,

⇒ side³ = 512,

⇒ side = 8

So, the side length of the cube is 8 units.

Volume of sphere is also 512 cubic units,

We have,

⇒ (4/3)πr³ = 512,

On Simplifying,

We get,

⇒ r = 4.96 units.

So, radius of sphere is = 4.96 units.

Next we can find the surface area of each solid.

The surface-area of cube is = 6×(side)²,

⇒ 6(side²) = 6(8²) = 384 square units,

The surface area of the sphere is = 4πr²,

⇒ 4π(r²) = 4π(4.96²) ≈ 309 square units.

Therefore, the Cube has a greater surface area than the sphere.

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find the equation of the parabola below:

Answers

The equation of the parabola that passes through (-4, 0) and (-2, 0) and has a touch point at (-3, -1) is: y = 4x² + 24x + 32.

What is an equation?

Since the parabola is symmetric with respect to the vertical line passing through the vertex (which is in the second quadrant), its axis of symmetry is the line x = -3.

Let's first find the vertex of the parabola. The x-coordinate of the vertex is simply the average of the x-coordinates of the two given points on the x-axis:

x = (-4 + (-2))/2 = -3

To find the y-coordinate of the vertex, we can use the fact that the vertex lies on the axis of symmetry. Therefore, it must also be the midpoint of the distance between the touch point (-3, -1) and the y-axis.

The distance between (-3, -1) and the y-axis is 3 units. Therefore, the y-coordinate of the vertex is:

y = -1 - 3 = -4

So the vertex of the parabola is V(-3, -4).

Since the parabola is open in the second quadrant and its vertex is in the second quadrant, its equation has the form:

y = a(x + 3)²- 4

where a is a positive constant that determines the "steepness" of the parabola.

To find the value of a, we can use one of the given points on the x-axis. Let's use (-2, 0):

0 = a(-2 + 3)² - 4

4 = a

Therefore, the equation of the parabola is:

y = 4(x + 3)² - 4

or

y = 4x² + 24x + 32

So the equation of the parabola that passes through (-4, 0) and (-2, 0) and has a touch point at (-3, -1) is:

y = 4x² + 24x + 32.

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Complete question is: The equation of the given parabola is: y = 4x^2 + 24x + 32.

SOMEONE PLEASE HELP ME WITH THIS ASAP <3

Answers

Answer:

Mohsin could be first, Yousuf could be second and luke could be third it doesn't matter really wich way roun it could be that yousuf is first or luke thirst.

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Complete the table of inputs and outputs for the given function.
g(x) = -4x - 1

Answers

Table:

To complete the table of inputs and outputs for the function g(x) = -4x - 1:

x   | g(x)

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

-3   | 11

-2/3   | 1/3

0   | -1

1/2   | -3

2   | -9

company xyz know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 16 years and a standard deviation of 1.4 years. find the probability that a randomly selected quartz time piece will have a replacement time less than 11.9 years?

Answers

The probability that a randomly selected quartz timepiece will have a replacement time less than 11.9 years is 0.0007 or 0.07%.

The given information is that a company XYZ knows that the replacement times for the quartz timepieces it produces are normally distributed with a mean of 16 years and a standard deviation of 1.4 years. We need to calculate the probability that a randomly selected quartz timepiece will have a replacement time of less than 11.9 years. Let us solve this problem using the standard normal distribution.
The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the given distribution into the standard normal distribution using the formula:
z = (x - μ)/σ
Where x is the replacement time, μ is the mean and σ is the standard deviation.

Putting the given values, we get:
z = (11.9 - 16)/1.4
z = -3.21
We need to find the probability that the replacement time is less than 11.9 years. This can be calculated as the area under the standard normal distribution curve to the left of z = -3.21.

Using the standard normal distribution table, we find that the area to the left of

z = -3.21 is 0.0007.
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There are 18 flower seeds in each packet. Mr. Doyle buys 14 packets of seeds. How many flower seeds are in the 14 packets? 18 A (A) 612 seeds B) 252 seeds C222 seeds D 60 seeds​

Answers

There are 252 flower seeds in the 14 packets that Mr. Doyle bought, which is option B.

What is Multiplication?

Multiplication is a mathematical operation that involves combining or adding a number to itself a certain number of times, resulting in a product that represents the total value of those added numbers. It is often represented using the "×" symbol or the asterisk symbol "*".

To find out how many flower seeds are in the 14 packets that Mr. Doyle bought, we can multiply the number of seeds in one packet by the number of packets he bought:

Number of seeds = 18 seeds/packet x 14 packets

Number of seeds = 252 seeds

Therefore, there are 252 flower seeds in the 14 packets that Mr. Doyle bought, which is option B.

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List down three (3) equations that can be seen in the graph for each type of function and identify their
domain and range. Please helpp

constant funtion

Function,Domain,Range=

linear function

function,domain,range=

quadratic function

function,domain,range=

Answers

Equatiοns such as f(x) = x² - 4x + 3, f(x) = -2x² + 4x - 1, and f(x) = 0.5x² + 2x - 1 are examples.

what is functiοns ?

A mathematical entity knοwn as a functiοn cοnverts an input frοm οne set (knοwn as the dοmain) tο a singular οutput frοm anοther set (called the range). A functiοn, then, is a rule that designates precisely οne οutput fοr each input in the dοmain. The nοtatiοn f(x), where f is the functiοn's name and x is the input value, is frequently used tο denοte a functiοn. Fοr instance, the functiοn f(x) = 2x + 1 takes any input x, dοubles it, adds 1, and returns the οutcοme.

Cοntinuοus Functiοn

Functiοn: If c is a cοnstant, f(x) = c

All real numbers dοmain

Range: {c}

Examples οf equatiοns are f(x) = 2, f(x) = -5, and f(x) = 0.

Linear Prοcess:

m is the slοpe and b is the y-intercept in the equatiοn f(x) = mx + b.

All real numbers dοmain

the entire real number range

Examples οf equatiοns include: f(x) = 2x + 1, f(x) = -3x + 5, and f(x) = 0.5x - 2.

Functiοn: where a, b, and c are cοnstants and a 0; f(x) = ax² + bx + c

All real numbers dοmain

Range: If a > 0 οr if a 0, then y | y h, where h is the vertex's y-cοοrdinate

Equatiοns such as f(x) = x² - 4x + 3, f(x) = -2x²+ 4x - 1, and f(x) = 0.5x² + 2x - 1 are examples.

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An artist recreated a famous painting using a 4:1 scale. The dimensions of the scaled painting are 8 inches by 10 inches. What are the dimensions of the actual painting?

40 inches by 50 inches
32 inches by 40 inches
12 inches by 14 inches
2 inches by 2.5 inches

Answers

Answer:

32,40 in

Step-by-step explanation:

please

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FELICIA CREATED A FLOOR PLAN FOR A PLAY HOUSE AS SHOWN BELOW WHAT WILL BE THE PERIMETER AND AREA OF FELICIA PLAY HOUSE

Answers

The perimeter of Felicia's playhouse is 60ft, and its area is 144ft².

In order to determine the perimeter and area of Felicia's playhouse, we must first analyze the provided diagram:

There are two rectangles and a triangle, therefore we must calculate the area of each shape, and then add the areas together to get the total area.

Area of Rectangle A = lw = 8ft x 10ft = 80ft²

Area of Rectangle B = lw = 4ft x 10ft = 40ft²

Area of Triangle C = (1/2)bh = (1/2)(8ft)(6ft) = 24ft²

Total Area = Area of Rectangle A + Area of Rectangle B + Area of Triangle C = 80ft² + 40ft² + 24ft² = 144ft²

To determine the perimeter, we must add up the lengths of all four sides of the rectangle and the three sides of the triangle.

P = 2l + 2w + a + b + c

P = 2(10ft) + 2(8ft) + 6ft + 10ft + 8ft

P = 20ft + 16ft + 6ft + 10ft + 8ft

P = 60ft

Therefore, the perimeter of Felicia's playhouse is 60ft, and its area is 144ft².

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Question

Felicia created a floor plan for a playhouse, as shown below. 2 ft 23 ft 7 ft 8 ft 844 What will be the perimeter and area of Felicia's playhouse?

What is the measure of JML

Answers

Answer:

94

Step-by-step explanation:

∠JKL and ∠JML are supplementary( they add to 180°).

Set their values equal to 180 to find the value of x.

15x - 19 + 13x + 3 = 180

Combine like terms

28x - 16 = 180

Add 16 to both sides to isolate the x

28x = 196

Divide both sides by 28

x = 7

Substitute the value of x into the expression for ∠JML

13(7) + 3 = ∠JML

91 + 3 = ∠JML

94° = ∠JML

To check our answer we can substitute the value of x into the expression for ∠JKL and if they add up to 180 we are correct

15(7) - 19 =∠JKL

105 -19 =∠JKL

86 =∠JKL

94° + 86° = 180°

Therefore we are correct

You roll one die. What is the probability that you roll a 6?

Answers

Answer:

1/6

16.667%

well in simple terms 16.6

Step-by-step explanation:

Romain knows the following information about the 323232 classes he took in high school: He studied for but did not pass 333 classes. He passed 272727 classes in total. He studied for 262626 classes in total. Can you help Romain organize the results into a two-way frequency table? Studied for the class Did not study for the class Passed the class Did not pass the class

Answers

Classes studied for,      Classes he did not study for       Total

Classes Passed,   23                     4                                             27

Classes Failed,       3                      2                                             5

Total,                     26,                     6                                            32

Please find attached the two way frequency table formatted on Excel spreadsheet

the details provided are;

32 classes were taken by Romain in total during his high school years.

Three of the classes he attempted but failed to pass

27 out of the total classes Romain took and passed

26 classes were studied for by Romain.

Therefore;

26 - 3 = 23 is the number of classes Romain took, passed, and studied for.

32 - 27 = 5 is the total number of classes Romain failed.

Total classes Romain passed without paying attention: 27 - (26 - 3) = 4.

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1/2 perecnt as decimal

Answers

Answer:

0.5

Step-by-step explanation:

trust me

1/2 of a decimal is 0.5
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