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3 years ago

There is a bag filled with 5 blue and 6 red marbles.

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

5/11*5/11=25/121

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Write the equation of the linear and exponential functions that pass through the points (0,12) and (1,3).

Triss [41]

to find the equation of a linear equation given two points:
1) find the slope y=mx+b
here's the equation: (y2-y1)/(x2-x1)
y2- y value of the 2nd point y1- y value of 1st point
x2- x value of 2nd point x1- x value of 1st point
1st point- (0, 12) 2nd point- (1,3)
so your slope equation is this: (3-12) / (1-0) or -9/1 or -9
m is -9
2) find the y intercept y=mx+b
b is whatever y is when x is 0. There's a long way to find it, but you already have it, because one of your points is (0,12). They told you what y was when x was 0.
b is 12.
your linear equation is y=-9x+12
to find the equation of an exponential equation given two points:
1) find a y=a(b)×
if one of your points has a 0 as the x value, the y value is a. you do have a point like this: (0,12) so...
a is 12
2) find b y=a(b)×
put what you know a is in the equation: y=12(b)×
then put the x and y values of the other point in for x and y in the equation
so (1,3) 1 is x and 3 is y
3=12(b)^1
when the exponent is 1, it disappears:
3=12b
simplify: b= 3/12 or b=1/4

then put all that in the equation:
y=12(3/4)×

7 0

3 years ago

Half of circle is called a semicircle.a semicircle has a diameter of 30 inches.what is the area of the window to the nearest squ

Anna007 [38]

Answer:

$A=353\ in^2$

Step-by-step explanation:

The question is

A window is shaped like a semicircle with a diameter of 30 inches. What is the area of the window? Round to the nearest square inch

we know that

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=30/2=15\ in$ ---> the radius is half the diameter

substitute

$A=\frac{1}{2}\pi (15)^{2}$

$A=112.5\pi\ in^2$

assume

$\pi =3.14$

$A=112.5(3.14)=353,25\ in^2$

Round to the nearest square inch

$A=353\ in^2$

3 0

3 years ago

What number should be added to both sides of the equation to complete the square? x^2 – 10x = 7

sveticcg [70]

I think it is (7)^2, yeeeeeeah

5 0

3 years ago

Read 2 more answers

Can someone help me and explain how they did it?

laiz [17]

The sum of the interior angles of this shape is 360 degrees. You would do 133 + 86+41 and then subtract the sum from 360. You get 100° as the answer

8 0

4 years ago

Read 2 more answers

How do you work out the Lowest Common Factor and Highest Common Factor between two numbers?

GrogVix [38]

For example if you're doing 10 and 20 the common factors are what numbers are 10 5 2 1 because every single one of those numbers are abled to going into 10 and 20. The Hughes one is 10 and the lowest is 1.
To woke this out you do
1x10=10 1x20=20
2x5=10 2x10=20
But as 3 doesn't go into 10 or 20 you don't count it and even though 4 goes into 20 it doesn't going into 10 and so it can't be a common factor and vice versa.
The next one is 5 and the next one is ten as 5 times 2 is ten and 5 time 4 is 20 then 10 x 1 equals 10 and 10 times 2 equals 20. Hope this helps.
Then you just write which one is the highest and the lowest.

6 0

3 years ago