Consider the given density curve.
A density curve is at y = one-third and goes from 3 to 6.
What is the value of the median?
a. 3
b. 4
c. 4.5
d. 6

ANSWER

The cost of a box of envelopes is $1.15

The cost of a box of paper is $2.45

EXPLANATION

Define Variables:

Let 'e' represent a box of envelopes

Let 'p' represent a box of papers.

System of Equations:

3e + 4p = 13.25 ...........................(equ 1)

2e + 6p = 17 ...........................(equ 2)

Answer as a sentence

Hence, the cost of a box of envelopes is $1.15 and the cost of a box of paper is $2.45.

Percentage error is given by the formula, (estimated number - actual number)/actual number × 100.

How closely a measured number corresponds to a true value is calculated using the percent error formula.

Percent error (percentage error) is defined as the difference between an experimental and theoretical value divided by the theoretical value and multiplied by 100.

The formula of percent error is,

"Percentage Error = ((Estimated Number - Actual Number)/ Actual number) × 100."

The percentage error tells us how much a small number of unavoidable errors affect our experimental results. By deducting the real value from the observed value, it is calculated. Small percentage errors show that you are close to the real or accepted value.

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Answer:

455 miles driven in 7hrs

Step-by-step explanation:

715miles divided by 11 hrs= 65 miles per hr

65 miles multiplied by 7 hrs= 455 miles driven in 7hrs

Answer:

r=3.25

Step-by-step explanation:

Answer:

r = 3.25

Step-by-step explanation:

Solve for r:

0.5 (r + 2.75) = 3

Multiply both sides of 0.5 (r + 2.75) = 3 by 2:

2×0.5 (r + 2.75) = 2×3

2×0.5 = 1:

1 (r + 2.75) = 2×3

2×3 = 6:

1 (r + 2.75) = 6

Multiply both sides of 1 (r + 2.75) = 6 by 1:

1×1 (r + 2.75) = 1×6

1×1 = 1^2:

1^2 (r + 2.75) = 1×6

1^2 = 1:

1 (r + 2.75) = 1×6

1×6 = 6:

r + 2.75 = 6

Subtract 2.75` from both sides:

r + (2.75 - 2.75) = 6 - 2.75

2.75 - 2.75 = 0:

r = 6 - 2.75

6 - 2.75 = 3.25:

Answer: r = 3.25

The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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Answer:

hope you can see the pictures! couldn't do the first one because I can't read the numbers, sorry.

Answer:

c

Step-by-step explanation:

Answer:

-5+6k

Step-by-step explanation:

19-6(-k+4)=16+6k-24=6k-5

Answer:

6k-5

Step-by-step explanation:

19-6(-k+4)=

19+6k-24=

6k-5

Answer:

20 degrees.

Step-by-step explanation:

We can assign variables for this problem. We can see that the overall angle adds up to 100 degrees, with Angle 1 being four times Angle 2, where Angle 2 being a random variable we can call x.

Using this information, we can conclude that Angle 1 is 4x and Angle 2 is x.

We can add those variables together, equal it to 100 degrees since ABD is known to be 100 degrees, to find variable x, and input it to find angle 2.

4x+x=100          (make equation)

5x=100              (add like terms)

x=20                  (isolate x)

We know that x stands for 20, and since angle 2 is just x, the answer is just 20 degrees.

The value of m∠2 is 20°

m∠ABD = 100°

m∠1 and m∠2 are adjacent angles.

Adjacent angles are angles that have common vertex

m∠1 is four times m∠2. Therefore,

m∠1 =  4(m∠2)

100° = m∠1  + m∠2

Therefore,

100 = 4(m∠2) + m∠2

100 = 5(m∠2)

divide both sides by 5

100 / 5 = m∠2

m∠2 = 20°

Therefore,

m∠1 = 100 - 20 = 80°

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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The money spent to fill up the tank with gas was $32.90

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

Lou's car had 4.6 gallons of gas in the 14-gallon tank. To fill the tank:

Amount of gas needed = 14 gallon - 4.6 gallon = 9.4 gallons

Lou filled the tank costing 3.50 per gallon, hence:

Total cost = $3.50 * 9.4 gallons = $32.90

The money spent was $32.90

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The equation to find the surface area of a pyramid is:

\(SA= \frac{ph}{2} +b\)

You have been given the length of the slant height (H=9 inch) and the length of one side of the base (6 inch)

First, let's find the area of the base. The base of a pyramid will always be a square and the area of a square is simply s², or side length².

6² = 36, so B=36

To find the perimeter of any shape, add all the side lengths together. Because the base is a square, all the sides have the same length.

6+6+6+6 = 24, so P= 24

Now, plug in the information you found and the information you were given into the Surface Area equation:

\(SA= \frac{(24)(9)}{2} +36\)

Solve:

24 × 9= 216

216 ÷ 2 = 108

108 + 36 = 144

The surface are of the pyramid is 144 in²

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

The solution for the system of equations:

2x + 3y = 0

-4x - y = 30

is y = 7 and x = -10.5

Here we want to solve the following system of equations:

2x + 3y = 0

-4x - y = 30

By combining the equations.

If we add two times the first equation and the second equation, we will get:

2*(2x + 3y) + (-4x - y) = 0 + 30

We can simplify that to get:

4x + 6y - 4x - y =  30

5y = 30

Now we can solve that for y.

y = 30/5

y = 7

Now to find the value of x, we can replace y by 7 in one of the equations of the system.

2x + 3*7 = 0

2x = -21

x = -21/2

x = -10.5

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Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the prism is,

Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]

                      = 232 in²

Hence, the surface area of the prism is 232 in².

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(a)

The expression are equivalent to each ohter if both expressions give same value for all assign values of x. From the table it can be observed that both expression do not give same value for all values of x. Thus expression

and 3x + 4 are not eqivalent to each other.

(b)

From the table, it can be observed that values of the expression are equal for x = 4. So equation

holds true for x = 4.

At 2:20 pm they finish the paint of wall.

Given, Al took 6 hours to paint a wall.

Bob took 4 hours and Chuck took 3 hours for same.

Let the work of painting wall is = LCM(6,4,3) = 12 Units

So in 1 hour Al works = 12/6 = 2 units

In 1 hour Bob works = 12/4 = 3 units

In 1 hour Chuck works = 12/3 = 4 units

In 1 hour, Al and Bob together do = 2+3 = 5 units

In 1 hour, all three together do = 2+3+4 = 9 units

Now from noon i.e. 12 to 1.00 pm Al works alone.

So 2 units of work is done.

From 1 pm to 1.30 pm, Al and Bob work together.

In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units

From 1.30 pm they all three work together.

Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units

So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes

Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.

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Answer:

D

Step-by-step explanation:

Because 20000 is the power of ten and i wrote it down on paper

Answer:

C .0001

Step-by-step explanation:

if u put the numbers .0001 into the calculator then u will get the number

1 x 10^-4.

seventeen dollarsStep-by-step explanation:

Answer: 17 i think

brainliest????

Step-by-step explanation:

8/9 = 0.888888....

7/18 = 0.388888888889

10/16 = 0.625

Ascending order - means going up, smallest to largest. (Imagine climbing a ladder, where you start of low, then, go higher up the ladder.)

Thus, answer is 7/18, 10/16, 8/9

Hope this helps!

For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

Given,

The conditions

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at \(\frac{x+1}{2}\)

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

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\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15+1}{2},\dfrac{9-9}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{16}{2},\dfrac{0}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=(8,0)\)

Answer:

\(mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{15 + 1}{2} = \frac{16}{2} = 8 \\ mid \: point \: for \: y = \frac{y1 + y2}{2} \\ = \frac{ - 9 + 9}{2} \\ = \frac{0}{2} \\ = 0then \: (x \: y) = (8 \: 0) \\ thank \: you\)

Answer:

Third option is the right choice.

Step-by-step explanation:

\(y=a(b)^x\)   where "b", is the common ratio.

The common ratio for third table is constant for all the terms.

Best Regards!

Answer:

Most simplified fraction from = 1/12

Decimal form = 0.08(3 repeating)

Answer:

The first three terms of the sequence are 19, 25 and 31.

Step-by-step explanation:

Let \(f(x) = 6\cdot x +13\), which defines a sequence for \(x \geq 1\). This is a case of an arithmetic progression. We obtain the first three terms of the sequence by evaluating the given function at \(x = 1\), \(x = 2\) and \(x = 3\), respectively. That is:

x = 1

\(f(1) = 6\cdot (1)+13\)

\(f(1) = 19\)

x = 2

\(f(2) = 6\cdot (2) +13\)

\(f(2) = 25\)

x = 3

\(f(3) = 6\cdot (3) +13\)

\(f(3) = 31\)

The first three terms of the sequence are 19, 25 and 31.

The answer to the first question is a. Nominal. The answer to the second and third questions are option a  -1.31 cm and  option a 87.5%, respectively

To compute the sum of squares, we need the mean of the data.

x: 2, 4, 6, 8, 10, 12, 18, 21

y: 3, 5, 8, 6, 8, 15, 10, 12

Mean of x = (2+4+6+8+10+12+18+21)/8 = 9.375

Mean of y = (3+5+8+6+8+15+10+12)/8 = 8.5

SSE = Σ(yi - ŷi)²

= (3 - 8.525)² + (5 - 9.002)² + (8 - 11.48)² + (6 - 10.336)²

+ (8 - 11.48)² + (15 - 19.556)² + (10 - 12.962)² + (12 - 15.898)²

= 127.98

The residual is given by:

residual = observed y value - predicted y value

= 29 - (10.9 + 0.23*73)

= -1.31 cm

The proportion of variation explained by x is:

R² = 1 - (SSE/SSTO) = 1 - (10.7/85.2) = 0.875 or 87.5% (approx.)

The answer to the first question is a, the second and third questions are option a and option a respectively.

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