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3 years ago

What is the slope of the line passing through the points (0,0),(1/3,7/3)?

Mathematics

1 answer:

umka21 [38]3 years ago

8 0

(0,0)(1/3,7/3)

slope = (7/3 - 0) / (1/3 - 0) = (7/3) / (1/3) = 7/3 * 3 = 21/3 = 7 <==

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Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

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3 years ago

The number of students who enroll in a psychology course is a Poisson random variable with mean 105. The professor in charge of

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Answer:

The answer is "0.096".

Step-by-step explanation:

In this question, the X is a number of the students who enroll in a psycholog y course, follows a Poisson distribution with mean $= \lambda= 105$

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1.09 because all percents are divided by 100 to find the decimal

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SSSSS [86.1K]

A word to the wise: It's <span> f(x)=125(0.9)^x, where ^ represents exponentiation.

In this case the ave. value over the interval [11, 15] is

125(0.9)^15 - 125(0.9)^11
------------------------------------- = (125/4) [ 0.9^15 - 0.9^11)
15 - 11 = (31.25) [ 0.2059 - 0.3138 ] = a negative result
= (31.25)(-0.1079) = -3.372 (av. r. of c.
over the interval [11,15] )

Do the same thing for the time interval [1,5]. Then compare the two rates of change.</span>

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Answer:

mean

Step-by-step explanation:

mean .

mean is regarded as the average value calculated from a data set .

mean = total sum of values / total number of values.

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