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2 years ago

Solve the system of equation using subtraction y= 2x-10 y=4x-8

Mathematics

1 answer:

Vlad [161]2 years ago

5 0

y= 2x-10

y=4x-8

------------subtract

0 = -2x - 2

-2x=2

x = -1

y= 2x-10

y= 2(-1)-10

y = -2 - 10

y = -12

answer: x = -1 and y = -12 or (-1,-12)

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2 years ago

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2 years ago

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Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

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

Here, n = number of trials which is 8 in our case

r = no. of success which is at least 5 in our case

p = probability of success which is probability of Roman Catholic of

0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= $\binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}$

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Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

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2 years ago