mrs. blue wants her students to be able to write two column geometric proofs. which is the most appropriate way to determine their mastery?

Answer:

25% is spent on food and 9,2% is spent on utilities

Step-by-step explanation:

One full circle is 360deg

Other + Housing + food + Utilities + Clothing + Car + Food =260 + 800 + 600 + 300 + 220 + 220 = 2400

Bcause 2400 : 360 = 20/3

=>  $ 1 is equal to 20/3 deg

=> 600 : 20/3deg = 90deg => 25% is spent on food

220 : 20/3 deg = 33 deg => 9,2% is spent on utilities

Answer:

Hence candy = $0.55 and soda= $0.48

Step-by-step explanation:

Given data

Travis bought 6 candy bars and 2 sodas for $4.88

6x+2y= 4.88------------1

Beth bought 2 candy bars and 3 sodas for $3.47

2x+3y= 3.47----------2

solve 1 and 2

6x+2y= 4.88------------1x 3

2x+3y= 3.47----------2 X 2

 18x+6y=14.64

- 4x+6y= 6.94

14x=7.7

divide both sides by 14

x= 7.7/14

x=$0.55

put x= 0.55 in 1

6(0.55)+2y= 4.88------------1

3.3+2y= 4.88

3.3y= 4.88-3.3

3.3y=1.58

y=1.58/3.3

y=$0.48

\(\displaystyle \frac{7a}{9bc} \div\frac{21a}{12b} =\frac{\backslash\!\!\!\!7a}{9 \backslash \!\!\!b \ c} \cdot \frac{4\backslash\!\!\!b}{\backslash\!\!\!\!7a} =\boxed{\frac{4}{9c} }\)

Answer:

8

Step-by-step explanation:

Answer. -8

Step-by-step explanation:

Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

\(\boxed{21}\)

When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.

Hi there! Hopefully this helps!

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

When you multiply two negatives (-, -,), you are gonna get a positive(+)

[Like making a cross out of two lines].

\(-3(-7) = +3(+7)\)

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

The biased sample is option (h) where every fifth shopper at the mall is asked if they voted.

A biased sample is one that does not accurately represent the entire population due to a systematic bias in the sampling method. In this case, option (h) is biased because it only selects every fifth shopper at the mall and asks if they voted. This method may introduce a bias because it assumes that the opinions of every fifth shopper are representative of the entire population of mall shoppers. However, this may not be the case as there could be certain factors or characteristics that distinguish the fifth shoppers from the rest. To obtain a more representative sample, a random sampling method should be used where each individual has an equal chance of being selected, as in option (j) where a random sample of people is asked to name their favourite vehicle.

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The number of buttons that will be in each container is 9 buttons.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Mrs. Bowlin has 72 buttons and she separated the buttons evenly into 8 containers.

The number of buttons in the container will be:

= Number of button / Number of container

= 72/8

= 9

There'll be 9 buttons.

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Complete question

Mrs. Bowlin has 72 buttons. Mrs. Bowlin separated the buttons evenly into 8 containers, how many buttons would be in each container? Show your work.

Step-by-step explanation:

D.

subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set

The lower quartile of a set of data is calculated by subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.

"A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.

Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurements are less than the lower quartile, 50% are less than the median, and 75% are less than the upper quartile."

From the definition it is clear that,

lower quartile of a set of data is calculated by :

subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.

Hence, D is the correct option.

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Answer:

12+ (-6) + (-2)

Step-by-step explanation:

Take the amount of money she started with and subtract the purchases

12 - 6 -2

If we want to use addition, add the opposite

12+ (-6) + (-2)

Answer: 2/6

Step-by-step explanation:

A dice has 6 possible outcomes, 1, 2, 3, 4, 5, and 6! There are only 2 numbers less than 3 which are 1 and 2 so the possiblity of getting less than 3 every roll is 1/3 or 2/6

Answer:

$1,317.50

Step-by-step explanation:

25% discount means the new price is 75% of the original price.

75% of $1,750 = .75 × $1,750 = $1,312.50

The answer to your problem is -49.

Answer:

\(k \approx 5$ units\)

Step-by-step explanation:

In Triangle JKL

\(\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k\)

We want to determine the approximate value of k using the law of sines.

\(\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ\)

Using Law of Sines

\(\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units\)

Answer:

5.1

Step-by-step explanation:

Right on EDU

Answer:

the median is $1.60 greater than the mean

Answer:

a

Step-by-step explanation:

The trade discount when the supplier offers trade discount rates of 20/10/5 is $1580.

Subtract the trade discount from 100% and change to decimals. This will be:

= 100% - 20% = 0.8

= 100% - 10% = 0.9

= 100% - 5% = 0.95

The net price factor will be:

= (0.8 × 0.9 × 0.95)

= 0.684

The single equivalent discount will be:

= 1 - Net price factor

= 1 - 0.684

= 0.316

The trade discount will be:

= Price × Discount

= $5000 × 0.316

= $1580

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Answer:

i good

Step-by-step explanation:

Answer:

A=42 degrees a=13.5 c=20.2

Step-by-step explanation:

Knowing that all the angles in a triangle add up to 180, we simply subtract 90 and 48 from 180 to figure out angle A.

For side a and c we can us trig to figure them out. Sin is equal to opposite over hypotenuse so the sin(48)=15/c, rearranging this equation we can do 15/sin(48)=c to figure out the length of side c

For a we use tan, which is opposite over adjacent. So we can make the formula tan(48)=15/a then rearrange this to 15/tan(48)=a to figure out the length of a

Answer:

BGC and FGE are cmplimentary so FGE = 45 degrees

Step-by-step explanation:

Answer:

option no.D

6y+15x

Step-by-step explanation:

hope it helps

Answer:

x = 8/k

Step-by-step explanation:

kx - 3 = 5

Add 3 to each side

kx -3+3= 5+3

kx = 8

Divide by k

kx/k = 8/k

x = 8/k

Answer:

x = 8 / k

Step-by-step explanation:

Let's solve for x.

kx − 3 = 5

Step 1: Add 3 to both sides.

kx −3 +3 = 5 + 3

kx = 8

Step 2: Divide both sides by k.

kx / k = 8k

x = 8 / k

Answer:

Step-by-step explanation:

A. 32/100 x 650 = 208

B.650-208=442

1. The graph of Lin mistake is shown below.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Lin started with reading 30 pages.

Then, after 1sr day she will read the 40 pages per day.

So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get

On first day (0. 30)

On second day (1, 30+40)= 91. 70)

On third day (2, 70+40)= (2, 110)

On fourth day (3, 110+40) = (3, 150)

and, On fifth day (4, 150+40)= (4, 190)

Hence, Line made mistake as after 4 days he completed 190 pages.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

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To determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y.

This plot is also known as the plot of residuals versus fitted values. In this plot, if the residuals are randomly scattered around the horizontal line of zero, then the assumption of constant error variance is satisfied. However, if there is a pattern in the residuals, such as a funnel shape or a curve, then the assumption of constant error variance may not be met. It is important to ensure that the assumption of constant error variance is met, as violation of this assumption can lead to biased and inefficient estimates of the model parameters. Additionally, it can affect the reliability of statistical inferences and lead to incorrect conclusions.
In summary, to determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y. It is important to check this assumption to ensure the validity of the model and the accuracy of the results.This plot allows you to assess the variance of the residuals and identify any patterns, which could indicate that the assumption of constant error variance may not be met. If the plot shows no discernible pattern and the spread of residuals appears to be uniform across the range of predicted values, the assumption of constant error variance is likely satisfied.

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There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

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Answer:

Step-by-step explanation:

the test ha 65 questions worth points and 5 questions worth 4 points

2 tenths of $1.20 is $1.20. The model shows the following number sentence: $1.00 + 1 dime + 0 pennies = $1.20

To use dimes and pennies to find 2 tenths of $1.20 is quite simple. To get to $1.20, there are several steps that one needs to follow. Please follow the steps below;Step 1 - Find out how much 1 dime is worth. One dime is equivalent to 10 cents. Ten cents is equal to 1/10 of a dollar.

Therefore 1 dime = 1/10 dollar.Step 2 - Find out how much 1 penny is worth. One penny is equal to 1 cent. 100 cents = 1 dollar. Therefore, 1 penny = 1/100 of a dollar. Or better still, 100 pennies make up 1 dollar.Step 3 - Since we want to find 2 tenths of $1.20, let us first find 2 tenths of $1.00. 2/10 of $1.00 is equal to 20 cents ( 1 dime and 0 pennies). To find 2 tenths of $1.20, we add the 20 cents (1 dime and 0 pennies) to $1.00, which is equal to $1.20.

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