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german
2 years ago
5

Add and Subtract the fractions below: 1/3 and 1/4

Mathematics
1 answer:
Alex2 years ago
6 0

Addition Answer: 1/3 + 1/4 = 4/12 + 3/12 = 7/12

Subtraction Answer: 1/3 - 1/4 = 4/12 - 3/12 = 1/12

Step-by-step explanation:

Basically, find the greatest common multiple of 3 and 4.  Once you do this, then you can multiply across and solve any fraction problem!

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In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval
Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

p_{hat} ± z.\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }

p_{hat} is the proportion:

p_{hat} = \frac{1455}{2957}

p_{hat} = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.\sqrt{\frac{0.49(1-0.49)}{2957} }

0.49 ± 2.576.\sqrt{\frac{0.49*0.51}{2957} }

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0
3 years ago
The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wid
exis [7]

Answer:

i dont understand

Step-by-step explanation:

oh wait... (0,0) (16,28) (0,33)

6 0
3 years ago
400000 + 60000+5,000+100 in words
prisoha [69]

Four hundred-thousand plus sixty-thousand plus five-thousand plus one-hundred.

4 0
3 years ago
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What is the radius of a circle whose equation is x² + y² + 8x – 6y + 21 = 0? <br><br> __?__ units
BlackZzzverrR [31]
(x+4)^2 + (y-3)^2 = 4

Which means, radius is 2, center is (-4,3)
5 0
3 years ago
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Find the equation of a line passing through points (-7, -10) , (-5, -20)
LuckyWell [14K]

You want to find the equation for a line that passes through the two points:

                          (-7,-10) and (-5,-20).

First of all, remember what the equation of a line is:

                                y = mx+b

here, m is the slope, b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through.

Consider (-7,-10) as point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-7 and y1=-10.

Consider (-5,-20), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=-20.

Now, just plug the numbers into the formula for m above, like this:

                       m= (-20 - -10)/(-5 - -7)

                                m= -10/2

                                   m=-5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

                                     y=-5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-7,-10). When x of the line is -7, y of the line must be -10.

(-5,-20). When x of the line is -5, y of the line must be -20.

Because  line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-7,-10) and (-5,-20).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.


You can use either (x,y) point you want.The answer will be the same:

(-7,-10). y=mx+b or -10=-5 × -7+b, or solving for b: b=-10-(-5)(-7). b=-45.

(-5,-20). y=mx+b or -20=-5 × -5+b, or solving for b: b=-20-(-5)(-5). b=-45.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points (-7,-10) and (-5,-20) is y=-5x-45.

                                 


8 0
3 years ago
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