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PilotLPTM [1.2K]
3 years ago
9

A box is filled with 11 blue cards, 2 green cards, and 7 brown cards. A card is chosen at random from the box. What is the proba

bility that it is a blue or a brown card? Write your answer as a fraction in simplest form
Mathematics
1 answer:
wel3 years ago
7 0
11 blue
2 green
7 brown
total is 20 card
7 out of that 20 are brown
so x out of 100% are brown
7/20=x/100 - cross multiply
700=20x
x=700/20
x=70/2
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H (x) =4x-2 complete the function table
Helen [10]

<em>Note: </em>

<em>You did not mention the table of the points. But, I would try to clear your concept by taking 6 sample points.</em>

Answer:

The table and the graph of the function h(x) = 4x-2 is also attached below.

Step-by-step explanation:

Given the function

h(x) = 4x-2

substituting x = 0 in the function

h(0) = 4(0) -2 = 0 -2 = -2

Therefore, the point (0, -2) satisfies on the function.

substituting y = 1 in the function

h(1) = 4(1) -2 = 4 -2 = 2

Therefore, the point (1, 2) satisfies on the function.

substituting y = 2 in the function

h(2) = 4(2) -2 = 8 -2 = 6

Therefore, the point (2, 6) satisfies on the function.

substituting y = 3 in the function

h(3) = 4(3) -2 = 12 -2 = 10

Therefore, the point (3, 10) satisfies on the function.

substituting y = 4 in the function

h(4) = 4(4) -2 = 16 -2 = 14

Therefore, the point (4, 14) satisfies on the function.

substituting y = 5 in the function

h(5) = 4(5) -2 = 20 -2 = 18

Therefore, the point (5, 18) satisfies on the function.

Therefore, we conclude that table:

x                  h(x) = 4x-2

0                  -2

1                    2

2                   6

3                   10

4                   14

5                   18

The graph of the function h(x) = 4x-2 is also attached below.

5 0
3 years ago
Need help with this logarithm question
alex41 [277]

Answer:

First one - the root is in the bottom of the fraction (just like it is with trees) and she wrote it backwards. 2 to the four over three is the third root of two the power of four and not the other way around. Just change that and it's good.

Second one - he said that ln(2) = 2 and that's just not true. No way of fixing that one, he shouldn't get high as often as he does I guess.

Step-by-step explanation:

3 0
3 years ago
The cost see for manufacturing X units of a certain product is given by C equals X squared -10 X +35 find the number of units ma
Marianna [84]

9514 1404 393

Answer:

  110 units

Step-by-step explanation:

Fill in the given value and solve for x.

  c = x^2 -10x +35

  11035 = x^2 -10x +35

  11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square

  x = 5 +√11025 = 5 +105 . . . . find the positive solution

  x = 110

The number of units manufactured at a cost of 11,035 is 110 units.

6 0
3 years ago
(HELP MEH) Why is √​5​​ irrational?
xxTIMURxx [149]

Answer:

  D.)  because it cannot be expressed as a ratio of integers

Step-by-step explanation:

The root of any integer that is not a perfect square is irrational. 5 is not a perfect square, so is irrational—it cannot be expressed as the ratio of integers.

__

<em>Proof</em>

Suppose √5 = p/q, where p and q are mutually prime. Then p² = 5q².

If p is even, then q² must be even. We know that √2 is irrational, so the only way for q² to be even is for q to be even—contradicting our requirement on p and q.

If p is odd, then both p² and q² will be odd. We can say p = 2n+1, and q = 2m+1, so we have ...

  p² = 5q²

  (2n+1)² = 5(2m+1)²

  4n² +4n +1 = 20m² +20m +5

  4n² +4n = 4(4m² +4m +1)

  n(n+1) = (2m+1)²

The expression on the left will be even for any integer n; the expression on the right will be odd for any integer m. This equation cannot be satisfied for any integers m and n, so contradicting our assumption √5 = p/q.

We have shown using "proof by contradiction" that √5 cannot be the ratio of integers.

4 0
3 years ago
5x (4x+8) = 4x (6x-10)
LUCKY_DIMON [66]
Distribute
remember a(b+c)=ab+ac

we can actually divide both sides by x
5(4x+8)=4(6x-10)
distribute
20x+40=24x-40
minus 20x both sides
40=4x-40
add 40 both sides
80=4x
divide by 4
20=x
8 0
3 years ago
Read 2 more answers
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