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Blababa [14]
3 years ago
14

I NEED HELP ASAP! :)

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

<u>Given</u>:

The given figure is a square pyramid.

The side length of the base of the pyramid is 6.6 feet.

The height of the pyramid is 12.672 feet.

We need to determine the volume of the pyramid.

<u>Area of the base:</u>

The area of the base can be determined using the formula,

A=a^2

where a is the side length of the base.

Substituting a = 6.6, we get;

A=6.6^2

A=43.56 \ ft^2

Thus, the area of the base is 43.56 square feet.

<u>Volume of the pyramid:</u>

The volume of the pyramid can be determined using the formula,

V=\frac{1}{3}Ah

where A is the area of the base and h is the height of the pyramid.

Substituting A = 43.56 and h = 12.672, we get;

V=\frac{1}{3}(43.56)(12.672)

V=184 \ ft^3

Thus, the volume of the pyramid is 184 cubic feet.

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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w
givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

7 0
3 years ago
Pls give me the answer.
IgorC [24]

Answer:

Shrek

Step-by-step explanation:

Shrek is the answer to everything. Through every movie, different problems including magical and INTERDIMENSIONAL are thrown at him, and he still saves the day. Therefore, shrek is the answer.

3 0
3 years ago
I need help on these questions pls
Lady bird [3.3K]
3a. Megan's car has more gas
3b. 2/3=66.666% and 3/5= 60% so 6 2/3 gallons

5. 108.09-15.45= 92.64


3 0
3 years ago
Using the equation shown below calculate the q value of vertex?<br><br> y= 2x2square +4x -9
Ugo [173]

Answer:

The vertex is (-1,-11).

Step-by-step explanation:

I don't know what the q value of this is, but I found the vertex for you.

I hope that this helps!

6 0
3 years ago
How many even numbers are there between 1 to 540
Diano4ka-milaya [45]
To find the number of even factors, we can multiply the number of odd factors by the power of 2 (not the power of 2 + 1!!!). For 540, we have (3 + 1)(1 + 1)(2) = 16 even factors.
6 0
3 years ago
Read 2 more answers
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