Find, explain, and correct the error in the student work below.

Pizza is available with three kinds of cheese and four toppings. how many different ways can you order your pizza with one type

e-lub [12.9K]

You will choose 1 cheese 3 different ways because there are three types of cheeses.

You will choose your topings 6 different ways. 4!/(2!2!) = 4*3/2 = 6

Therefore you will be able to get 6 * 3 different pizzas = 18 pizza combinations.

To confirm the toppings, suppose they are (M)ushrooms (P)epperoni (O)nions and (B)acon

M P
M O
M B
P O
P B
O B

Total 6.The order doesn't matter here. M O is the same thing as OM

8 0

3 years ago

Find the area of an equilateral triangle with a side of 6 inches.

sweet-ann [11.9K]

Answer:

9 $\sqrt{3}$ in²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = $\frac{s^2\sqrt{3} }{4}$ ( s is the length of a side )

Here s = 6, thus

A = $\frac{6^2\sqrt{3} }{4}$ = $\frac{36\sqrt{3} }{4}$ = 9 $\sqrt{3}$ in²

6 0

3 years ago

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25

3 0

3 years ago

Use the Pythagorean theorem to find the distance form Emma’s house to the pool

laiz [17]

What are the measurements?

6 0

3 years ago

A disease has a constant force of mortality, µ. Historically 10% of all people with the disease die within 20 years. A more viru

kolbaska11 [484]

Answer:

Step-by-step explanation:

For the disease having force of mortality µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = $1-e^{-\mu}$ = .1

$e^{-\mu}$ = .9

For the disease having force of mortality 2µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1 - $e^{-2\mu}$

= 1 - ( .9)²

= 1 - .81

= .19

or 19%

5 0

3 years ago