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3 years ago

Two nickels are flipped and a number cube is rolled. How many total outcomes are there?

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Coin # 1 - 2 outcomes

Coin # 2 - 2 outcomes

Number cube - 6 outcomes

Total outcomes: 2 x 2 x 6 = 24

However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):

Coins outcomes: 3

Cube outcomes: still 6

Total outcomes: 18

Taya2010 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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The total cost in dollars for Larry to have his birthday party at a local

luda_lava [24]

Answer:

$0 \leq p < 6$

Step-by-step explanation:

Given

$t = 6.95p + 29.95$

$Amount = 70$

Required

Determine the domain

First, we need to solve for p

Substitute 70 for t in $t = 6.95p + 29.95$

$70 = 6.95p + 29.95$

Collect Like Terms

$6.95p = 70 - 29.95$

$6.95p = 40.05$

Solve for p

$p = 40.05/6.95$

$p = 5.76$

This implies that Larry can not invite up to 6 people.

Hence, the domain can be represented as: $0 \leq p < 6$

7 0

3 years ago

Find the exact value of x in the triangle below

Juli2301 [7.4K]

So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.

In this case, the short leg is 5√3 since that times √3 makes 15.

Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.

3 0

3 years ago

You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices