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3 years ago

A laundry bag contains 7 brown socks and 2 black socks. Find the probability of picking a brown sock first,

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

6 0

Answer

7/9 chance to pick a brown sock first and 1/4 chance to get a black sock after

Step-by-step explanation:

there are 9 total socks and 7 are brown so you will have a 7/9 chance to get a brown sock

then if you do get a brown the total number of socks will be 8 in the bag so then you have a 2/8 chance which can be simplified to 1/4

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Step-by-step explanation:

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3 years ago

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HELPPPPP Find the sum of the series 18 +12 +8+16/3...

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3 years ago

92.4 is 150% of what number?

Ad libitum [116K]

1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for. 
3. If 92.4 is 100%, so we can write it down as 92.4=100%. 
4. We know, that x is 150% of the output value, so we can write it down as x=150%. 
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
(92.4/x)*x=(100/150)*x - we multiply both sides of the equation by x
92.4=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x
92.4/0.666666666667=x 
138.6=x 
x=138.6

now we have: 
150% of 92.4=138.6

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3 years ago

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4. A boat sails east for 35 miles and then turns to sail 10 miles south. What is the distance of the boat from its ending point

Elden [556K]

Answer:

36.4mi

Step-by-step explanation:

The boat sailed two legs of a right-angled triangle.

The distance from the starting point is the hypotenuse of the triangle.

d = √(35² + 10²)

= √(1225 + 100)

= √1325

= 36.4 mi

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2 years ago

What interval notation represents the data graphed below?

Aliun [14]

Answer: Choice D

$(-\infty, -2) \cup [4, \infty)$

=====================================================

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying $-\infty < x < -2$

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to $4 \le x < \infty$

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be $(-\infty, -2) \cup [4, \infty)$

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

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2 years ago