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inn [45]
2 years ago
8

What is the equation of the line whose y-intercept is 3 and slope is 1?

Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

Answer:

B. y = x + 3

Step-by-step explanation:

Let m represent the slope of the line.

Let c represent the y-intercept of the line.

Then the equation of the line with slope m and y-intercept c is given by \[y=mx+c\]


In this case, the value of m is 1 and the value of c is 3.

Substituting the given values in the equation:

\[y=x+3\]


Among the given options, option B represents the correct equation of the line.

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Vlada [557]

Answer:

A

Step-by-step explanation:

5-2 = 1/52 = 1/25 = 0.04

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3 years ago
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The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute
madam [21]

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So a = 3, b = 15

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

P(X \leq 11) + P(X > 11) = 1

We want P(X > 11). So

P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

4 0
3 years ago
What is 28 percent of 486
Dimas [21]
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3 years ago
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The weights of bags of ready-to-eat salad are normally distributed with a mean of 300 grams and a standard deviation of 9 grams.
mestny [16]

Answer: 2.5% of the bags weigh less than 282 grams.

Step-by-step explanation: Just took the test and this was the correct answer! :)

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2 years ago
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11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

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4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

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2 years ago
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