A line has a slope of -3 and a y-intercept of 3 what is the x-intercept of the line a-9 b-1 c1 d9

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Hello :)

In order to find the x-intercept of a line substitute 0 into the y & solve for x

Since the line has a slope of -3 and a y intercept of 3 the equation would look like this:

y= -3x+3

Now we substitute 0 into the y & solve for x

0 = - 3x + 3

+3x +3x

$\frac{3x}{3}=\frac{3}{3}$

x=1

The answer here would be c) 1

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You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

Nat2105 [25]

The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of observing more than 8 heads and more than 8 tails is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$