A box contains 3 plains pencils and 7 pens . A second box contains 6 color pencils and 2 crayons one item from each box is chosen at random. What is the probability that a pen from the first box and crayon from the second box are selected

Answers

Answer 1

Answer:

Well to solve these type of question it is very easy to make a tree diagram and then solve them. How ever i have done it here for you.

So basically we have to get a pen from the first box so its probability is 7 / 10.

Similarly, we have to get a crayon from the second box so its probability is 2 / 8.

Now by counting principle we can multiply the two probabilities so 7/10 * 1/4 which becomes equal to 7/40.

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By rounding each number to 1 significant figure,estimate the answers to:a)8.2 x 6.7÷0.46
Which is greater 11/16 or 3/4
Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has...... Anish has...... Nick has......
20a + 158 + 6c = 20 (6) +15(4) + 6(8)??+?2+?

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?

Answers

The directrix will pass through the negative x-axis

The given parameters are:

Vertex = (0,0)

Focus = Positive x-axis

Given that the vertex is at the origin, the directrix would be on the opposite side of the focus

This means that:

The directrix will pass through the negative x-axis i.e. quadrant II and III

Answers

Answer:

Step-by-step explanation:

x^2-8x+k is a quadratic expression of the form ax^2 + bx + c. Here a = 1, b = -8 and c = k. Focus on x^2-8x and complete the square as follows: Take half of the coefficient of x (that is, take half of -8) and square the result:

(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4): (x -4)^2.

Thus, k = 16 turns x^2-8x+k into a perfect square.

Which represents a quadratic function?f(x) = −8x^3 − 16x^2 − 4x

f (x) = 3/4 x ^2 + 2x − 5

f(x) = 4/x^2 - 2/x + 1

f(x) = 0x^2 − 9x + 7

Answers

A quadratic equation is of the format:

ax² + bx + c = 0, where a ≠ 0.

The first option is not quadratic, it is a cubic, it has highest power of 3.

The second option f (x) = 3/4 x ^2 + 2x − 5, is quadratic, that is the answer.

The third f(x) = 4/x^2 - 2/x + 1, doesn't qualify because of the 2/x.

The last f(x) = 0x^2 − 9x + 7 , doesn't qualify because of the a = 0, and the rule is that a ≠ 0.

Therefore f (x) = 3/4 x ^2 + 2x − 5 represents a quadratic function.

I hope this helps.

Hello,

a quadratic function has y=ax²+bx+c with a!=0 for equation.
Thus the only answer is f(x)=3/4 x²+2x-5

Find the value of the variable if P is between J & K.

JP = 2x ; PK = 7x ; JK = 27

Answers

J ---- P --- K

JP = 2x
PK = 7x
JK = 27

2x + 7x = 27
9x = 27
x = 27/9
x = 3

The value of P is 3.

JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21

Write the equation of a line perpendicular to y=2x+8 and goes through the point (2, -2).

Answers

Hi,
y+2=-1/2(x-2) ==>y=-x/2-1.
The slope (if this is right) : 2*s=-1==>s=-1/2

Last month, Sunglass Kiosk had total sales of $9,720. Merchandise totaling $110 was returned. The goods that were sold cost Sunglass Kiosk $4,864. Operating expenses for the month were $1,180. What is the net income Sunglasss Kiosk will put on its income statement?

Answers

Given:
Total sales = 9,720
COGS = 4,864
returns = 110
Opex = 1180

(9720 - 4864)/4864 = 4,856/4864 = 0.9984
110 x 0.9984 = 109.82

Sales: 9,720 - 110 = 9,610
COGS: 4,864 - 109.82 = 4754.18

9,610 - 4754.18 - 1,180 = 3,675.82 net income.

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