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3 years ago

What is the slope of a line (1,4) and (5,24) ?

1 answer:

6 0

The slope formula is (y2 - y1)/(x2 - x1). It doesn't matter which one you use as x1 or x2 and long as you use the same order for the y's.

After plugging these 2 points in the formula, you get (24-4)/(5-1) = 20/4 = 5. Therefore, the slope is 5.

Hope this helped! Let me know if you need further assistance! Message me or comment under this post.

You might be interested in

If g(x) is the inverse of f(x)=4x+12 and f(x)=, what is g(x)

Nitella [24]

Hello,
f(x)=y=4x+12

x=4y+12
==>4y=x-12
==>y=x/12- 3

g(x)=x/12 -3

6 0

3 years ago

Read 2 more answers

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red

mamaluj [8]

Let red marbles = X.

The probability is 1 out of 5, written as 1/5

1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.

1/5 = x/5x

Now you have 5x total marbles, x red and 4x blue.

Add 5 more red and the new probability is:

(x+5)/(5x+5) = 1/3

Simplify:

3x+15 = 5x+5

Now solve for x:

Subtract 3x from both sides:

15 = 2x +5

Subtract 5 from each side:

2x = 10

Divide both sides by 2:

x = 10/2

X = 5

There were originally 5 red marbles.

5 0

3 years ago

Can someone pleeeeease help me!!

charle [14.2K]

Answer:

I’m pretty sure it’s 73% but I’m not completely sure

6 0

3 years ago

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

s344n2d4d5 [400]

The contingency tables serve to record the frequencies with which an object appears according to the measured variables, in this case two variables, each with two scales, the scratch resistance and the shock resistance, both measured as high and low.

The information is organized in such a way that the value of each box represents the total number of objects that meet the characteristics measured for each variable, for example in this case we have 70 discs with high shock resistance and high scratch resistance, 9 with high scratch resistance and low shock resistance, 16 with high shock resistance and low scratch resistance and finally 5 discs with low scratch and shock resistance.

We complete the table like this to obtain other total values:

$\qquad\qquad\qquad\qquad\qquad\text{Shock resistance}\\\text{Scratch resistence}\left[\begin{array}{cccc}&\text{high}&\text{low}&\text{total}\\\text{high}&70&9&79\\\text{low}&16&5&21\\\text{total}&86&14&100\end{array}\right]$

With this information, and taking into account that the values presented are frequencies, to obtain the probability, each one must be divided into the total number of objects and multiply by 100, for this case as 100 objects, the frequency is the same percentage or probability .

Answer

a) The probability that, when selecting a random disk, its scratch resistance is high and its shock resistance is high is 70%, since this is the value that corresponds to the intersection of both variables in the table.

b) the probability that, when selecting a random disk, its resistance to scratches is high or that its resistance to impacts is high is 95% because the probability that its resistance to scratches is high is 79 % and the probability that its impact resistance is high is 86%, as one or the other requests, this is the sum of both minus the intersection, that is 79% + 86% -70% = 95%

c) the two events described are not mutually exclusive, that is, they cannot pass through, since the table informs us that of the analyzed discs 70, these two characteristics possessed, high shock resistance and high scratch resistance

8 0

3 years ago

Hey please I need help with this

saul85 [17]

Answer:

78.5

Step-by-step explanation:

This is because of the formula r^2pi since 5^2=25 and 25x3.14 it equal 78.5

8 0

3 years ago