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Keith_Richards [23]
3 years ago
11

A fair coin is flipped 50 times

Mathematics
1 answer:
inna [77]3 years ago
8 0
1/2 so that would be about 25 times heads show.
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Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
4 years ago
Urelia made a deposit to her checking account. She had $104.00 in currency; $7.64 in coins; and checks for $83.29, $257.77, $1,3
pogonyaev
The correct answer is 5769.43
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3 years ago
Billy joined Franco's today. His membership cost him $50. He has to pay $2 each time he goes.
Darina [25.2K]

Answer:

Step-by-step explanation:

M is the membership and b is billy

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3 years ago
Please answer it now in two minutes
FrozenT [24]

Answer:

4.5

Step-by-step explanation:

Use sin64=x/5 and simplify to

5sin64 and plug it into a calculator to get 4.49 which is 4.5

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3 years ago
A school psychologist wants to test the effectiveness of a new method of teaching Art. She recruits 600 second-grade students an
yuradex [85]

Answer:

c. The score on the achievement test of both groups.

Step-by-step explanation:

A school psychologist recruits 600 second-grade students and randomly divides them into two groups.

Group 1 is taught by means of the new method, while Group 2 is taught via traditional methods.

We have to find the response variable. A response variable is the outcome variable or dependent variable in the experiment.

Here this is - The scores on the achievement tests of both group 1 and group 2.

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