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2 years ago

The height of

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

4 0

Hey there! I'm happy to help!

This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).

Our radius is 3cm.

We square it.

3²=9

Multiply by 3.14.

9×3.14=28.26

Now that we have our circle base area, we multiply it by the height (7 cm).

28.26×7= 197.82

This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.

197.82/2=98.91

We can also multiply our circle base by 3.5, which will give us half of the full height.

So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.

Have a wonderful day and keep on learning! :D

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The mean of 6 numbers is 8.

shutvik [7]

Answer: 8

Step-by-step explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are $x, x, 2x, 2x, 3x, 3x$

Write the mean of the numbers

$\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4$

So, the numbers are $4, 4, 8,8 ,12,12$

As the total numbers are even, median is the sum of the middle values

$\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8$

8 0

3 years ago

The function m(w) = –25w + 2500 models the amount of money in a safe, in dollars, w weeks after Lori learned the combination to

elena55 [62]

Answer:

B) There will be no money in the safe 100 weeks after Lori learned the combination.

I hope this answer is right.

5 0

3 years ago

At a raffle, 1500 tickets are sold at $2 each. There are four prizes given for $500, $250, $150, and $75. You buy one ticket. Us

wolverine [178]

Answer:

The expected value of every ticket is a loss of $ 1.35

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets sold at the raffle = 1,500

Price of each ticket = $ 2

Total prizes = 1 * $ 500 + 1 * $ 250 + 1 * $ 150 + 1 * $ 75

2. Use a probability distribution table to calculate the expected value of your gain. Your expected value is_____ ?

Let's answer the question using a probability distribution for the gains, this way:

Probability of 1st prize of $ 498 (500 - ticket) = 1/1,500
Probability of 2nd prize of $ 248 (250 - ticket) = 1/1,500
Probability of 3rd prize of $ 148 (150 - ticket) = 1/1,500
Probability of 4th prize of $ 73 (75 - ticket) = 1/1,500
Probability of losing $ 2 (ticket) = 1,496/1,500

Now, we calculate the mean for all the tickets (winners and non-winners), this way:

Expected value = [(1,496 * -2) + (1 * 498) + (1 * 248) + ( 1 * 148) + ( 1 * 73)]/1,500

Expected value = [- 2,992 +498 + 248 + 148 + 73)/1,500

Expected value = -2,025/1,500 = - 1,35

The expected value of every ticket is a loss of $ 1.35

8 0

3 years ago

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9

kicyunya [14]

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

$2^{n}$

where n is the number of elements in the set.

Therefore, subsets of the given set = $2^{5}$

= 32

Since original set itself is a subset of its own, is not a proper subset.

Therefore, proper subset of a set = $2^{n}-1$

= $2^{5}-1$

= 32 - 1

= 31

7 0

3 years ago

Is this a true statement? (-k) - 10k = -11k

marissa [1.9K]

Yes because if you solve it it will become -11k

8 0

3 years ago