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laiz [17]
4 years ago
5

Anyone that can solve probability problems please help me.

Mathematics
1 answer:
Shalnov [3]4 years ago
3 0

10.

P(\text{ice skating}\mid\text{6th grade})=\dfrac{P(\text{ice skating AND 6th grade})}{P(\text{6th grade})}

155 of the total 545 students belong to the 6th grade. 46 of the total 545 students belong to the 6th grade and like ice skating. In terms of probability,

P(\text{6th grade})=\dfrac{155}{545}

P(\text{ice skating AND 6th grade})=\dfrac{46}{545}

So

P(\text{ice skating}\mid\text{6th grade})=\dfrac{\frac{46}{545}}{\frac{155}{545}}=\dfrac{46}{155}

11. Similar setup. We know 171 of 545 students like skiing, and there are 74 8th graders that like skiing. So

P(\text{8th grade}\mid\text{skiing})=\dfrac{\frac{74}{545}}{\frac{171}{545}}=\dfrac{74}{171}

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In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true
Kamila [148]

Answer:

See Explanation

Step-by-step explanation:

Given

0 \le a \le 1

8*a =b

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite 8*a =b

b = 8 * a

When a = 0

b = 8 * 0 = 0

When a = 1

b = 8 * 1 = 8

This means that:

For 0 \le a \le 1

Then 0 \le b \le 8

<em>This means that: b is a number between 0 and 8</em>

3 0
3 years ago
Two scientists are running experiments on the same type of bacteria in different control groups. The results are shown in the gr
kondaur [170]

Answer:

B,  "The graph of g(x) will eventually exceed the graph of f(x)."

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Convert 12 kilograms to pounds use 1 kg to 2.2 lb
alisha [4.7K]
2.2(12)=26.4 the answer is 26.4lbs.
5 0
3 years ago
The volume of a cone is 540pi. work out the height of the cone.
Bas_tet [7]

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

\pi \times r {}^{2}  \times  \frac{h}{3}

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

r {}^{2}  \times  \frac{h}{3}  = 540

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

r {}^{2} h = 1620

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

r \times h = 40.249

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

4 0
3 years ago
Alberto has four rectangular tiles. The dimensions of the tiles, in inches, are 2 x 3, 3 x 5, 1 x 4, and 4 x 6. He puts all four
nasty-shy [4]

Answer:

The side length of the square is 7 inches².

Step-by-step explanation:

Given:

The dimensions of the tiles are 2 x 3, 3 x 5, 1 x 4, and 4 x 6 to form a single square.

Now, to get the length of the square formed by the tiles. We need to get the area of the square.

Area of the square formed by the four tiles = 2\times 3+3\times 5+1\times 4+4\times 6

                                                                        = 6+15+4+24

                                                                        = 49

So, the area of the square is 49 inches².

Putting the formula of square for getting the side length:

Area of the square = side²

49=side^{2}

using square root on both sides:

7=side

Therefore, the side length of the square is 7 inches².

3 0
4 years ago
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