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seropon [69]
3 years ago
11

What is the volume of the pyramid 8ft 4ft 6ft 20 POINTS

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

V= 64 ft^3

Step-by-step explanation:

The volume of a pyramide is given by the formula

V = 1/3 l*w*h

Given the l = 8  w = 4  and h = 6

V = 1/3 ( 8*4*6)

V = 1/3 ( 192)

V= 64 ft^3

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Suppose you and your 4 friends (5 people) are dressing up as the 6 main characters of the first Avengers movie: Iron Man, Hulk,
Dennis_Churaev [7]

Answer:

720

Step-by-step explanation:

If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:

n=6*5*4*3*2\\n=720

There are 720 ways.

5 0
3 years ago
Item 5 A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat.
valina [46]

Answer:


Step-by-step explanation:

180/4 is 45 so you could say the farmer plants 135 Acers of corn and only 45 of wheat

3x+y=180  

Hope this helped.

8 0
3 years ago
5/6+2i<br><br><br>Aka<br><br><br> 5<br><br>___<br><br>6+2y<br>Ignore my answer its probably wrong
liberstina [14]

Answer:

   (3/4) -(1/4)i

Step-by-step explanation:

Your answer is correct.

\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i

8 0
3 years ago
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn
Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that p = 0.07

A day care program has capacity for 8 children in that age range.

This means that n = 8

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0
3 years ago
Five times the sum of a number and 3 is the same as 3 times the difference of twice the number and 1.
allochka39001 [22]

Answer:

12

Step-by-step explanation:

5(x+3) = 3(2x-1)

5x+15 = 6x-3

15-3 = 6x-5x

12 = x

x = 12

6 0
3 years ago
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