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Murrr4er [49]
3 years ago
15

Is the simplified form of 2 square root of 3⋅square root of 12 rational?

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

2 sqrt(3) * sqrt(12)

Rewriting sqrt(12) as sqrt(4 *3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)

2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)

                              =4 * (sqrt(3) )^3

                              = 4 *3

                               =12

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
What is num 2?? I need this done by tonight!
timama [110]
Maybe absolute value
3 0
3 years ago
(08.06 MC)
Aleks04 [339]
A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.

B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20

Add equations
x=5

Plug x in
5+y=20
y=15

Final answer: 5 cheese wafers, 15 chocolate wafers
3 0
3 years ago
Question 3<br> Solve this system by using the elimination method.<br> 4x + 2y = 8<br> 5x + 3y = 9
umka21 [38]

Answer:

x=3, y=-2. (3, -2).

Step-by-step explanation:

4x+2y=8

5x+3y=9

---------------

simplify 4x+2y=8 into 2x+y=4

-----------------

2x+y=4

5x+3y=9

----------------

y=4-2x

5x+3(4-2x)=9

5x+12-6x=9

-x=9-12

-x=-3

x=3

2(3)+y=4

6+y=4

y=4-6

y=-2

7 0
3 years ago
Michael has $1,036.89 in his checking account. He is going to spend $495.05 on a new television, and he will spend the rest on s
san4es73 [151]

Answer:

$495.84

Step-by-step explanation:

1,036.89-495.05= 541.84- 46= 495.84


8 0
3 years ago
Read 2 more answers
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