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4 years ago

Write the equation of a line with a slope of -2 and a y-intercept of 5:

Mathematics

2 answers:

Fiesta28 [93]4 years ago

7 0

The equation of a line with a slope of -2 and a y-intercept of 5 is y = -2x + 5

Solution:

Given that slope is -2 and y-intercept is 5

We need to find the equation of line

The equation of line when slope and y-intercept is given can be calculated using "slope-intercept form"

The slope intercept form is given as:

y = mx + b

where "m" is the slope of line and "b" is the y-intercept

Plugging the given values in slope intercept form, we get

y = -2x + 5

Thus the required equation of line is found

saveliy_v [14]4 years ago

6 0

Answer: y = -2x +5 , so C (you probably just forgot to put the x)

Explanation: y = mx+b m represents the slope, b represents the y intercept

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Read 2 more answers

A 4-digit PIN number is selected. What it the probability that there are no repeated digits?

geniusboy [140]

Answer:

$P(A)=0.504$ or 50.4%

Step-by-step explanation:

The probabilities constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

A permutation is an ordered arrangement of objects in a group, without repetitions.

A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are $10^{4} =10000$

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation $nP_{k} =\frac{n!}{(n-k)!}$

$10P_{4} =\frac{10!}{(10-4)!}=10.9.8.7.6= 5040$

So, the probability that there are no repeated digits is:

P(A)=favorable cases/possible cases

$P(A)=\frac{5040}{10000}=0.504$ or 50.4%

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4 years ago