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3241004551 [841]
3 years ago
11

How many solutions dose this system have ? X+4y=6 y=2x-3

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Replacing y by x in the first line we'll get x+8x-12=6, so 9x=18, x=2, y=1 being the only solution

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$120

Step-by-step explanation:


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3 years ago
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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}

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

4 0
3 years ago
Can someone help me please?? in Algblra2 - Variations, Progression, and Theorems
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Since f(1)=7, (y-1) is not a factor.
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YES IT IS

Step-by-step explanation:

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Answer:

3x = 51

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