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zmey [24]
3 years ago
10

Complete the equation of the line whose y-intercept is (0,5) and slope is -9.

Mathematics
2 answers:
pshichka [43]3 years ago
7 0

Answer:

-9x + 5  

Step-by-step explanation:

Slope Intercept Form = y = mx + b

where x = slope and b = y intercept

We are told that the slope is -9 and the y intercept is at (0,5)

So x = -9 and b = 5

that being said we plug in the values into the equation

Therefore y = -9x + 5  is your answer

Lana71 [14]3 years ago
4 0

Answer:

-9x + 5  

Step-by-step explanation:

Complete the equation of the line whose y-intercept is (0,5) and slope is -9.

-9x + 5  

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Read 2 more answers
A given binomial experiment has n=100 trials and p=1/3. Is it more likely to get x=20 successes or x=45 successes. Why?
soldi70 [24.7K]

Answer:

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

Step-by-step explanation:

Given information: n=100 and p=1/3.

According to the binomial distribution, the probability of getting r success in n trials is

P(x=r)=^nC_rp^rq^{n-r}

where, n is total trials, p is probability of success and q is probability of failure.

Total trials, n = 100

Probability of success, p = \frac{1}{3}

Probability of failure, q = 1-\frac{1}{3}=\frac{2}{3}

The probability of 20 successes is

P(x=20)=^{100}C_{20}\times (\frac{1}{3})^{20}\times (\frac{2}{3})^{100-20}

P(x=20)=\frac{100!}{20!(100-20)!}\times (\frac{1}{3})^{20}\times (\frac{2}{3})^{80}\approx 0.001257

The probability of 45 successes is

P(x=45)=^{100}C_{45}\times (\frac{1}{3})^{45}\times (\frac{2}{3})^{100-45}

P(x=45)=\frac{100!}{45!(100-45)!}\times (\frac{1}{3})^{45}\times (\frac{2}{3})^{55}\approx 0.004296

The P(x=45) is more that the P(x=20). Therefore x=45 successes is more likely to get.

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Step-by-step explanation:

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