1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
11

A company sells confetti in boxes in the shape of a triangular

Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

who is William afton family?

You might be interested in
ACT mathematics score for a particular year are normally distributed with a mean of 27 and a standard deviation of 2 points.
mel-nik [20]

Answer:

A: 16%

B: 95%

C: 97.5%

Step-by-step explanation:

According to the empirical rule:

68% of a normal distribution is between -1 and +1 standard deviations.

95% of a normal distribution is between -2 and +2 standard deviations.

99.7% of a normal distribution is between -3 and +3 standard deviations.

Given μ = 27 and σ = 2.

Part A

29 is one standard deviation above the mean.  We can show this by calculating the z-score:

z = (x − μ) / σ

z = (29 − 27) / 2

z = 1

We know that 68% is between -1 and +1 standard deviations.  Since normal distributions are symmetrical, we can also say that 34% is between 0 and +1 standard deviations.

P(0 < Z < 1) = 68%/2 = 34%

We can also say that 50% is less than 0 standard deviations.

P(Z < 0) = 50%

Therefore, P(Z < 1) = 34% + 50% = 84%.

Which means P(Z > 1) = 100% − 84% = 16%.

Part B

Like before, calculate the z-scores:

z₁ = (23 − 27) / 2

z₁ = -2

z₂ = (31 − 27) / 2

z₂ = 2

From the empirical rule, we know this is 95% of the normal distribution.

Part C

We found in part B that the z-score is 2.

P(0 < Z < 2) = 95%/2 = 47.5%

P(Z < 2) = 50% + 47.5% = 97.5%

5 0
4 years ago
FILL IN THE BLANK
IgorLugansk [536]
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.

now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

\bf \begin{array}{ccccllll}&#10;\stackrel{increase}{x}&\stackrel{new}{price}&students&\stackrel{revenue}{y}\\&#10;------&------&------&------\\&#10;0&12&14&168\\&#10;1&14&13&182\\&#10;2&16&12&192\\&#10;3&18&11&198\\&#10;\boxed{4}&20&10&\boxed{200}\\&#10;5&22&9&198\\&#10;6&24&8&192\\&#10;7&26&7&182\\&#10;8&28&6&168\\&#10;..&..&..&..&#10;\end{array}

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.

thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200

\bf \qquad \textit{parabola vertex form}\\\\&#10;\begin{array}{llll}&#10;\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\&#10;x=a(y-{{ k}})^2+{{ h}}&#10;\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\&#10;-------------------------------\\\\&#10;\stackrel{c(x)}{y}=a(x-\stackrel{h}{4})\stackrel{k}{+200}&#10;\\\\\\&#10;\textit{now, we also know that }&#10;\begin{cases}&#10;x=2\\&#10;y=192&#10;\end{cases}\implies 192=a(2-4)^2+200&#10;\\\\\\&#10;-8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a&#10;\\\\\\&#10;

\bf therefore\qquad \stackrel{ c(x)}{y}=-2(x-4)^2+200\impliedby \textit{let's expand that}&#10;\\\\\\&#10;y=-2(x^2-8x+16)+200\implies y=-2x^2+16x-32+200&#10;\\\\\\&#10;\stackrel{y}{c(x)}=-2x^2+16x+168
3 0
3 years ago
Read 2 more answers
X+20+10x=20+9x<br><br> A) x=2<br><br> B) x=10<br><br> C) x=20 <br><br> D) x=0
Advocard [28]

It issssssss D) x = 0 I got ya

3 0
3 years ago
What’s the answer? Because am having a hard time with this math problem.
Studentka2010 [4]

9514 1404 393

Answer:

  34.5 square meters

Step-by-step explanation:

We assume you want to find the area of the shaded region. (The actual question is not visible here.)

The area of the triangle (including the rectangle) is given by the formula ...

  A = 1/2bh

The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...

  A = (1/2)(11 m)(9 m) = 49.5 m^2

The rectangle area is the product of its length and width:

  A = LW

The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...

  A = (5 m)(3 m) = 15 m^2

The shaded area is the difference between the triangle area and the rectangle area:

  shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2

The shaded region has an area of 34.5 square meters.

7 0
3 years ago
Em 1 Graph the system of equations. { x−y=6 ,4x+y=4
muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. x-y=6 ,4x+y=4

First we will find value of x and y

Let:

x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)

Add eq(1) and eq(2)

x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2

Putting value of x in eq(1) and finding y

x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

8 0
4 years ago
Other questions:
  • Arianna correctly simplified an expression. When she substituted x= 2 into the simplified expression, the value was –4. Which co
    9·1 answer
  • The rule (x, y)→(x−6, y−7) represents a translation 6 units _______ and 7 units________?
    14·2 answers
  • There 37 paperclips in a box. carmen places more paper clips in the box. which equation models the total number of paperclips p
    11·1 answer
  • Write an equation models the following statement:<br> 17 less than h equals 42
    15·1 answer
  • Which two relationships have a y-intercept and a constant rate of change?
    6·1 answer
  • Please help it's the second one
    5·2 answers
  • SOLVE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • A wise man once said, "300 reduced by 4 times my age is 40." What is his age?
    10·2 answers
  • Which expression is equivalent to (27.3-5.9)4?
    7·2 answers
  • Translate Triangle CAT according to the rule ( x, y ) -&gt; ( x - 4, y - 5 ).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!