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Fed [463]
2 years ago
12

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5

more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Mathematics
1 answer:
antoniya [11.8K]2 years ago
5 0

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is \frac{x}{15}. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

\frac{x+5}{15+5} = \frac{3}{4}

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

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What is the value of the function at x = 3?<br><br> Enter your answer in the box.
butalik [34]

Answer:

4

Step-by-step explanation:

Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?

To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.

Here it is 4.

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3 years ago
A cone has a height 25 ft and a radius of 7 ft. Is a reasonable that the volume of this cone is 100 ft3? Why or why not?​
Nostrana [21]

Answer:

No

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

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3 years ago
Function p(x), shown below, is translated 10 units up to create function q(x).
natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

<u>Step-by-step explanation:</u>

f(x) = a(x - h)² + k   <em>where a is the vertical stretch and (h, k) is the vertex.</em>

Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>

       = 0.005(x - 40)² + 70

3 0
3 years ago
If x-2y=10 and x≠0, what is the value of 2x/y+5
VladimirAG [237]

Answer: 4

Step-by-step explanation:

x - 2y =10

x = 10 + 2y

\frac{2x)}{y + 5}

\frac{2(10+2y)}{y+5}

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\frac{4(5+y)}{y+5} ... cancel like terms (y + 5)

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2 years ago
What is the y-intercept for the graph of this line?<br> 3x - 5y= 6
Korvikt [17]

Answer:

y-intercept: (0, -1.2)

Step-by-step explanation:

3 0
3 years ago
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