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3 years ago

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

Mathematics

1 answer:

Vinvika [58]3 years ago

6 0

Answer

See below

Step-by-step explanation:

The given line has equation

$5x - 2y = - 6$

The slope intercept form is

$y = \frac{5}{2} x + 3$

The slope of this line is

$m = \frac{5}{2}$

The line perpendicular to this line has slope

$- \frac{2}{5}$

If this line passes through (5,-4), the point-slope form is

$y + 4 = - \frac{2}{5} (x - 5)$

The slope-intercept form is

$y = - \frac{2}{5} x- 2$

The standard form is

2x+5y=-10

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Predict how many times you will roll a number less than 5 if you roll a standard number cube 250 times

Komok [63]

Answer:

150

Step-by-step explanation:

Rolling a 2, 3, or 4 should happen approx 60% of the time

250 x 60%= 150

3 0

4 years ago

Read 2 more answers

A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that $p = 0.75$ , and four games means that $n = 4$

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164$

0.3164 = 31.64% probability the team wins all its conference games

4 0

3 years ago

Add using the number line. −0.5 + (−1.7)

Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0

3 years ago

Round to the nearest whole number. 568.3

aalyn [17]

Answer:

568.3 into the nearest hundred

5.683

8 0

2 years ago