Alex has been studying for the certified management exam. Results from the last exam indicate that the mean was 62 with a standard deviation of 6. He needs to be in the top 20% (80th percentile) to pass. Use z value with two decimal places, 1.28, in your calculations. What score will place Alex in the top 20% of the distribution

[tex]\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}[/tex]

[tex]\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill[/tex]

Answer:

920cm^2

Step-by-step explanation:

look at the attachment below hope it helps pls mark brainliest :)

Answer:

5. (x,y) = (2.3)

Step-by-step explanation:

1/2x + 2 = x+1

x = 2

y = 2+1

y = 3

(x,y) + (2,3)

{3 = 1/2 x 2 + 2

{3 = 2 + 1

{3 = 3

{3 = 3

Answer:

  3. no solution

  5. (x, y) = (2, 3)

Step-by-step explanation:

  -5x +y = 1

  -10x +2y = -2

Multiply the first equation by -2 and add the second equation:

  -2(-5x +y) +(-10x +2y) = -2(1) +(-2)

  10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses

  0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION

(The lines graph as parallel lines.)

__

  y = 1/2x +2

  y = x +1

Subtract the first equation from the second:

  (y) -(y) = (x +1) -(1/2x +2)

  0 = 1/2x -1

  0 = x -2

  2 = x

  y = x +1 = 2 +1 = 3 . . . . use the second equation to find y

The solution is (x, y) = (2, 3).

Answer:

The answer is B -4

Step-by-step explanation:

Answer:

y=

Step-by-step explanation:

y = 3x - 1

y = 3(12) - 1

y = 36 - 1

y = 35

Answer: 80

Step-by-step explanation:

Angle FGB = 80 degrees b/c supplementary angles.

By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.

x is supplementary with this angle and is this 180 - 100 = 80.

Answer:

Hello how are you

n equals -14

Answer:

1 mole of Oxygen and two moles of Hydrogen

Step-by-step explanation:

The mass of oxygen equal to one mole of oxygen is 15.998 grams and the mass of one mole of hydrogen is 1.008 g.

Answer:

Table price  is Rs 2544

Step-by-step explanation:

Table sold =  Rs 2400

Losses = 6%

Now find  6% of 2400

     ( 2400 × 6 ) ÷ 100 =  144

Add this answer to table price sold

     2400+ 144 = 2544

Mark brainliest if you understand

Answer:

-4, -10, -2

Step-by-step explanation:

[tex]y-6\leq 15+8y\\-21\leq 7y\\y\geq -3\\[/tex]

so the answer is -4, -10, -2

Answer:

99.9% sure it's -4, -10, -2

Step-by-step explanation:

y−6≤15+8y

−21≤7y

y≥−3

so that be providing that you're gonna get

-4, -10, -2

Answer:

Step-by-step explanation:

7(-4x - 1) = 49

-28x - 7 =49

-28x = 49 + 7 = 56

x = 56/(-28) = -2

Answer:

7 x - 4x = - 28x

7 x - 1 = - 7

-28x - 7 = 49

+7 both sides

-28x = 56

÷ - 28

x = 56/-28

x = - 2

I substitute to double check my answer:

- 4x

-4x-2 =8

7(8- 1)

7x 8 = 56

7 x - 1 = - 7

56-7= 49

Hope this helps!

Answer:

[tex]\frac{20}{9}[/tex] as an improper fraction or [tex]1\frac{2}{9}[/tex] as a mixed number

Step-by-step explanation:

[tex]5*\frac{4}{9}\\ \\\frac{5}{1}*\frac{4}{9}\\ \\\frac{5*4}{1*9}\\\\\frac{20}{9}\\ \\1\frac{2}{9}[/tex]

Answer:

Slope = -5/8

Step-by-step explanation:

Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).

We are going to use the formula for finding the slope of a line now.

y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8

Slope = -5/8

Answer:

A

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}\frac{7}{19} &\frac{3}{19}\\\frac{10}{19} &\frac{7}{19} \end{array}\right][/tex]

Answer:

The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.

Answer:

Step-by-step explanation:

If Δ JKL ~ Δ JHG , then

[tex]\frac{LJ}{GJ}[/tex] = [tex]\frac{KJ}{HJ}[/tex]

[tex]\frac{95}{68}[/tex] ≠ [tex]\frac{87}{72}[/tex] ⇒ triangles are not similar

Answer:

I believe the new price is 203.

Step-by-step explanation:

Answer:

244

Step-by-step explanation:

Answer:

Y= 9/10x - 1.2 (or 1.3)

Or - 1. 2 is 6/5

Thus, Y= 9/10x - 6/5

Hope this helps!

Answer:

1/2

Step-by-step explanation:

Yes, I agree.

Make a graph [tex]y=-\frac{4}{5}x+\frac{2}{5}[/tex]

The point of intersection of the line with x-axis is the solution of [tex]-\frac{4}{5}x+\frac{2}{5}=0[/tex]

Multiply by 5 on both sides, get -4x + 2 = 0, x = 2/4 = 1/2

The solution is 1/2.

Answer:

  $56.02

Step-by-step explanation:

The account balance after 10 years is given by the future value formula:

  FV = P(1 +r)^t . . . . . principal P invested at rate r compounded annually for t years

  FV = $200(1 +0.025)^10 ≈ $256.02

The amount in excess of the original investment is the interest earned:

  $256.02 -200.00 = $56.02 . . . . interest earned in 10 years

Answer:

$256.02

Step-by-step explanation:

Here is the formula: 200(1.025)^10.

The .025 is the percentage of the interest, and the 1 is the money you already have (which is 200). The ^10 is the 10 years.

If you take the (1.025)^10, you'll get an incredibly large number, 1.2800....

Take that large number and multiply it by the amount of money you originally have, $200. Then you'll get something like 256.0169... Round to the near hundredth, and you'll have 256.02

Answer:

Step-by-step explanation:

Answer: 80 cm^3

Step-by-step explanation:

I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.

Surface area of a rectangular prism: 2(wl+hl+hw)

 2((2*2)+(9*2)+(9*2))

=2(4+18+18)

=2(40)

=80cm^3

Hope this helped.

Answer:

write the question properly-_-

Answer:

The answer is A&C

Step-by-step explana

Answer:

5/2

Step-by-step explanation:

I used coordinate (-4, -2) and (-2, 3)

Slope=change in y/change in x

-2-3=-5

-4-(-2)=-2

-5/-2=5/2

Answer:

[tex]\frac{-5}{-2}[/tex] or 2.5

Step-by-step explanation:

(-2,3) and (-4,-2)

[tex]\frac{-2-3}{-4-(-2)}[/tex] ==> [tex]\frac{-5}{-2}[/tex] ==> 2.5

Hope that helps!

Answer:

80 squared units.

Step-by-step explanation:

7 × 8 = 56 u squared for the triangles

you don't need to divide by two because there are two triangles.

3 × 8 = 24 u squared for the rectangle

56 + 24 = 80 squared u

Brainliest Appreciated!

Answer:

i would say the answer is true but I'm not completely sure this is the answer.

Answer:

TRUE

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is given

2x−3y=5

we can write it as

3y=2x−5

So we get

y=32x−5​

Substituting x=4 in the given equation

y=32(4)−5​

So we get

Y=38−5​

y=33​

By division we get

y=1

Substituting x=−2 in the given equation

y=32(−2)−5​

So we get

y=3−4−5​

y=3−9​

By division we get

y=−3

x 4       -2

y      1        -3

Now draw a graph using the points (4,1) and (−2,3)

Join the point through a line and find the value of y

(i) Based on the graph

consider x=4 on X-axis

Now the line joining the two points and a point on the Y-axis gives the value of y

Therefore,when x=4 the value of y=1

(ii) Based on the graph,

Consider y=3 on Y-axis

Now the line joining the two points and a point on the X-axis the value of x

Therefore, when y=3 the value of x=7

Answer:

A)  reflection over the x-axis and a vertical translation down by 5 units

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78