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Nitella [24]
3 years ago
12

What is the volume? 3 yd 10 yd 5 yd

Mathematics
1 answer:
zmey [24]3 years ago
3 0
Volume is the product of the three dimensions...

V=xyz in this case:

V=3*10*5

V=150 yd^3
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the diffrence of two numbers,a and b,is 21,the diffrence of five times a and two times b is 18 what are the values of a and b
Triss [41]

Answer:

a=-8

b=-29

Step-by-step explanation:

Let's assume

first number is a

second number is b

the difference of two numbers,a and b,is 21

so, we get

a-b=21

we can solve for 'a'

a=b+21

the difference of five times a and two times b is 18

so, we get

5a-2b=18

now, we can plug 'a'

5(b+21)-2b=18

now, we can solve for b

5b+105-2b=18

3b+105=18

3b=-87

b=-29

now, we can find 'a'

a=-29+21

a=-8


8 0
3 years ago
Read 2 more answers
4 √12x please help if your good at math then message me... I will give brainliest
Lina20 [59]
4✔️12x

4✔️4 • 3x

4 • 2 ✔️3x

8✔️3x

This is the solution.
5 0
3 years ago
What is the probability that , in a group of 200 random people , at least two of them have the same triple of initials (such as
Len [333]

The probability is P(X >= 2).

200 random people, n = 200

Let us consider the Binomial expression

i.e.,

P(X = r) = nCr*p^r*q^(n-r)

Here we have to assume that the 3 initials are equally likely events.

i.e.,

p = 1/3

q = 1 - 1/3

= 2/3

Required probability = P(X >= 2)

= 1 - [P(X = 0) + P(X = 1)]

= 1 - [200C0*(1/3)^0*(2/3)^200 + 200C1*(1/3)^1*(2/3)^199]

= 1 - [1*1*(2/3)^200 + 200*(1/3)*(2/3)^199]

= 1 - [(2/3)^200 + 200*(1/3)*(2/3)^199]

= 1 - (2/3)^200 - 200*(1/3)*(2/3)^199

Probability is truly how possibly something is to happen. every time we're unsure about the final results of an event, we will talk about the possibilities of certain consequences and how probably they are. The evaluation of events ruled by means of possibility is called records.

3 styles of probability

  • Classical
  • Relative Frequency Definition.
  • Subjective possibility.

Learn more about probability here brainly.com/question/24756209

#SPJ4

3 0
2 years ago
I need to know this now
Anton [14]

Answer:

Option A) Inconsistent is correct

Step-by-step explanation:

Given equations are y=5x+2\hfill (1)

and 10x-2y=12\hfill (2)

Rewritting the equation y=5x+2 as below

5x-y=-2

Now multiplying the above equation into 2 we get

10x-2y=-4\hfill (3)

Now subtracting the equations (2) and (3)

10x-2y=12

10x-2y=-4

________

0\neq 16

Therefore the given system of equations has no solution

Therefore it is inconsistent

Therefore given two lines are parallel. Two parallel lines never intersect, so the given system has no solution and is inconsistent.

Option A) Inconsistent is correct

8 0
3 years ago
How do you rewrite p(x)=-5x2+120x-315 in vertex form
True [87]

Answer:

p(x)=-5(x-12)^2+405

Step-by-step explanation:

Hi there!

Vertex form: f(x)=a(x-h)^2+k

p(x)=-5x^2+120x-315

Factor out -5 from the first two terms

p(x)=-5(x^2-24x)-315

Complete the square by adding (\frac{24}{2} )^2 (the square of half of the x-coefficient)

p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2

We're subtracting (-5)(\frac{24}{2} )^2 because we need to keep the equation balanced and we can't just add new values.

Complete the square

p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2

Simplify

p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405

Summary:

  1. Complete the square
  2. Simplify

I hope this helps!

4 0
3 years ago
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