A set of pencils sells for $1.85 and costs $0.60 to make. Twenty percent of
the profit (the difference between the purchase price and the amount it
costs to make) from each set of pencils goes to a school.
If 600 sets are sold, what is the amount of money that will go to the school?

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

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Answer:

Option B: 4/3.28

Step-by-step explanation:

Answer:

  42 feet

Step-by-step explanation:

The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.

__

Clockwise from the upper left corner, the sum of edge lengths is ...

  2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet

  = 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise

  = 17 + 11 + 14

  = 28 + 14 = 42 . . . feet

42 feet of fence is needed to go around the garden

There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

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Answer:

y= -2x-9

x would move left or right, and up and down is y

left or down are negative and up or right are positive

Step-by-step explanation:

how this helps if do mark brainllest pls! :)

Answer:

it is 20

Step-by-step explanation:

because it rounds from the ten value which is to the left of the decimal which means it has to be either 10 or 20 and 8 is greater than 5 so the answer if 20

This question is asking you to round to the nearest ten, not the nearest tenth. To do this, all you have to do is round to the nearest product of ten - in this case, 20.

Name of the shape:

Surface Area of Right Triangular Prism:

⇒ Base x Height + Length(perimeter of the base)

There surface area of this shape is 144 cm²

#a

#b

If sides be L,B,H

Then

#c

Now

Answer:

Rational & integer

Step-by-step explanation:

Rational numbers are terminating. -7 is terminating.

All integers are rational numbers. Integers do not have decimals.

This is not whole because it is negative.

This is not irrational because... it's rational!

it is a rational and integer Hopefully you pass this assignment

The cost of each baseball is $3.50, option A is correct.

Given that the Number of baseballs are 7.

Cost of the bat = $42.00

Total cost before tax = $66.50

The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:

Total cost of baseballs = 7 × x

The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:

Total cost = Total cost of baseballs + Cost of the bat

$66.50 = 7x + $42.00

We need to solve this equation for x.

Subtracting $42.00 from both sides:

$66.50 - $42.00 = 7x

$24.50 = 7x

Dividing both sides by 7:

$24.50 / 7 = x

x = $3.50

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Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Answer:

70.

Step-by-step explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

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Answer:

34,526,712 + 10,098,756 = 44,625,468

Answer:

0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors

Step-by-step explanation:

Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.

Step-by-step explanation:

I use desmos . com so it's easier.

A) 1.29

B) 0.91

C) 0.97

D) 1.05

Good Luck!

Answer:

6 m/hr

Step-by-step explanation:

The first brother took   12/8 = 1.5 hr

the second brother took  1.5 + .5 = 2hours

  12 miles / 2 hrs =

Answer:

84 cookies

Step-by-step explanation:

28 x 3 = 84

Joseph baked 84 cookies.

I think you're question is incomplete or is missing an attachment.

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

Answer:  [tex]\bold{x=\frac{2 \sqrt{10}}{7}}[/tex]

Step-by-step explanation:

[tex]\text { Let } p=\left(x,-\frac{3}{7}\right) \text { as given } y \text {-coordinate is }=-\frac{3}{7}[/tex]

[tex]r=1 \ \ \text{(as $p$ is on unit circle)} \\$$\therefore x^{2}+y^{2}=1^{2}[/tex]

[tex]\begin{aligned}&\Rightarrow x^{2}+\left(-\frac{3}{7}\right)^{2}=1 \Rightarrow x^{2}=1-\frac{9}{49}=\frac{40}{49} \\&\Rightarrow x^{2}=\pm \sqrt{\frac{40}{49}} \Rightarrow x=\pm \frac{2 \sqrt{10}}{7}\end{aligned}[/tex]

[tex]$$Since the point is in quadrant $4$ $\therefore \text{the} \ x$-coordinate will be positive$$\therefore x=\frac{2 \sqrt{10}}{7} \text$$[/tex]

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]

Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:

[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]

[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]

[tex]x_A = 26068.4[/tex]

At point B, the angle is of 43º, hence:

[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]

[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]

[tex]x_B = 8016[/tex]

Hence, the distance in feet is given by:

[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

Based on the amount that Felix deposited in the account and the 5% compounded annual interest, the interest Felix will earn in 2 years is $10.25

First, find the amount the $100 would have accrued to in 2 years:

= Amount deposited x (1 + rate) ^ number of years

Solving gives:

= 100 x (1 + 5%)²

= $110.25

The interest earned is:

= Amount in 2 years - Amount deposited

= 110.25 - 100

= $10.25

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Answer:10.25

Step-by-step explanation:

Answer:

remainder: -400

Explanation:

[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]

divided by x + 3

insert x = -3 in the function

[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]

[tex]\sf f(-3) = -400[/tex]

Answer:

C

Step-by-step explanation:

The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.

Algebraically:

[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]

[tex]\frac{2n^4+6-7}{n^4+3}[/tex]

[tex]\frac{2n^4-1}{n^4+3}[/tex]

I hope this helps!

Mode is the number that is shown the most.

Answer: 1. Most