What is the probability of rolling a 6-sided die and getting a 2 or an odd number?

A line contains the points (82, −96) and (87, −86). what is the slope of the line in simplified form?

True [87]

-96-(-86) -10 -2
------------= ------= -----= -2
82-87 -5 1

3 0

3 years ago

Barbara is making candy bags with her birthday party she has 24 lollipops, 12 candy bars, and 42 pieces of gum she wants each ba

Arisa [49]

She can make about 5 bags and there will be 4 lollipops, 2 candy bars, and 7 pieces of gum in each bag.

So this is how to solve it:
Basically what you’re doing here is called finding the gcf, or greatest common factor. What you have to do is find what number can divide by 24, 12, and 42; so I chose 2.
After dividing all these numbers by two you get 12, 6, and 21.
3 can divide by all these numbers
After dividing by three you get 4(lollipops), 2(candy bars) and 7(pieces of gum)
Since you can not divide by one number for all of these numbers, 4, 2 and 7 are your final answers.

To find how many’s bags you can make, the answer is 5 since you divided by 2 and 3 and you add them together.

I hope I explained this well! Good luck :D

3 0

3 years ago

For online courses, like those in eCore, there is a positive correlation between the amount of time spent in the course and the

Troyanec [42]

Answer:

Regression Line is given by,

y = 22.909 + 0.209 x

The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Step-by-step explanation:

The equation of Regression equation is of the form of:

y = a + bx

where, a is intercept and b is slope

The formula for a and b is given by,

$a=\frac{\sum Y \sum X^2-\sum X \sum XY}{n\sum X^2-(\sum X)^2}\\ and, b = \frac{n\sum XY -\sum X \sum Y}{n\sum X^2-(\sum X)^2}$

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72

Thus, a = 22.909

and b = 0.209

Thus, Regression Line is given by,

y = 22.909 + 0.209 x

Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Now plotting these line:

6 0

3 years ago

I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I

Romashka [77]

Strategy:

You will need to make use of the formulas for volume and area of the shapes you have chosen.

... volume of a sphere = (4/3)πr³

... area of a sphere = 4πr²

You will have to use the volume equation to find the radius of the sphere with the desired volume. Then use the area formula to verify the area is smaller than for your rectangular prism. (A sphere has the smallest surface area for a given volume of any figure.)

___

For your pyramid, it's a bit more complicated. You can use the formula for volume to find a relationship between the side length and the height. Then you can solve for height and put that expression into the equation for surface area. Now, you have an equation for surface area as a function of side length, which you can use to choose side lengths that give surface area in the range you want. You may find a graphing utility to be helpful for this.

... volume of a pyramid = (1/3)b^2h . . . . . b is the edge length of the base; h is the verical height.

... area of a pyramid = b^2 + 2bs, where s is the slant height: s=√((b/2)^ +h^2)

___

The cylinder is solved essentially the same way the pyramid is solved, except the formulas are slightly different.

... volume of a cylinder = πr²h

... area of a cylinder = 2πr² + 2πrh

Numbers:

If I did it right, a pyramid with a base edge length of 4 or 5 inches (or somewhere between) should give a smaller surface area for the volume you want.

For the cylinder, the radius may be around 2 or 2.1 inches.

5 0

3 years ago

A right triangle is shown below.<br> Which measurement is the closest to the value of x?

REY [17]

Answer:

35°

Step-by-step explanation:

First you find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

You can look it up if you want, but sin35 = 0.574

so the answer is 35°

6 0

3 years ago