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diamong [38]
3 years ago
5

A bag contains 32 red​ blocks, 47 green​ blocks, 21 yellow​ blocks, and 25 purple blocks. You pick one block from the bag at ran

dom. Find the indicated theoretical probability.
​P(green or purple​)
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0

Answer:

P(green or purple​) = 0.576

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

32 + 47 + 21 + 25 = 125 blocks.

Of those, 47 + 25 = 72 are green of purple

​P(green or purple​) = 72/125 = 0.576

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The answer is red show step by step of the pro tem to get the answer
miskamm [114]

In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.

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\frac{5\sqrt{4}}{\sqrt{3}}(\cdot\sqrt{3})=\frac{5\sqrt{4}\sqrt{3}}{(\sqrt{3})^2}=\frac{5\cdot2\cdot\sqrt{3}}{3}=\frac{10\sqrt{3}}{3}

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\frac{2\sqrt{3}}{4\sqrt{5}}(\cdot\sqrt{5})=\frac{2\sqrt{3}\sqrt{5}}{4(\sqrt{5})^2}=\frac{2\sqrt{15}}{4\cdot5}=\frac{\sqrt{15}}{2\cdot5}=\frac{\sqrt{15}}{10}

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1 year ago
The dinner bill at the restaurant totaled $473.60. There were 37 guests. How much did dinner cost per guest?
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6 0
3 years ago
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Graph the points (-3,4) and (1,1). If you drew a line through the points, name three other points that would be on the line. How
Andrej [43]
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.

We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75

Then we will use one of these points to get the value of c as follows:
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The equation of this straight line is:
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Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
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point is (2,0.25)
3 0
3 years ago
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