dierdurst

We can make a chart for all the sums:

You can see that the \(9\) has \(4\) possible ways, and there are \(36\) total ways to get all the sums. Therefore, your probability would be \(\frac{4}{36} = \frac{1}{9}\).

- Daisy

\(4, 0\)

\(3,1\)

\(2,2\)

Since both are indistinguishable, the order of the balls does not matter.

- Daisy

If the same person can't hold both offices, we have \(20\) people availible for the first office, and \(19\) for the second. \(20*19=380\).

- Daisy

There are \(5\) letters to choose from and \(4\) letters make up a word. We can get the permutation ₅P₄ = \(120\).

- Daisy

I think you are missing some of your question!

- Daisy

Oh yeah that makes more sense! I was kind of confused on the question. I should of used permutations instead, haha. Thanks!

- Daisy

We can have the ball equal \(b\). With this, we can set up an equation that says \(2b + 1 = 1.1\). Therefore, \(b = 0.05\). This means that the ball is \(5\) cents. 

- Daisy

The formula for circumference is \(d\pi\).

a) \(d = 18\), so your circumference would be \(18\pi\) inches. Since it is asking to round your answer, we need to multiply \(18\) by \(\pi\), which rounds to \(56.55\) inches. 

b) If \(r = 7\), \(d = 14\). Your circumference would be \(14\pi\) which equals \(43.98\) m.

c) If \(10\) is the diameter, your circumference would be \(10\pi = 31.42\) cm. If \(10\) is the radius, your circumference would be \(20\pi = 62.83\) cm.

d) If \(4.5\) is your diameter, your circumference would be \(4.5\pi = 14.14\) feet. If \(4.5\) is your radius, your circumference would be \(9\pi = 28.27\) feet.

- Daisy

a) The volume formula for a rectangular prism is \(wlh\). To solve this, we can get \((14)(18)(24.5) = 6174\) in³.

b) In order to find how many hinches high the tank is with \(21\) gallons of gasoline, we have to find how much cubic inches of gasoline we have. We can get this from doing \(21*231 = 4851\). Now, we can get an equation to solve for \(x\), the height of the gasoline. We can write the equation as \((18)(24.5)(x)=4851\). By solving the equation, we can get \(x = 11\) inches.

- Daisy

The formula for perimeter/circumference is \(d\pi\), where \(d\) is the diameter. 

a) \(d = 12\), so the circumference is \(12\pi\). Since the question is asking for a semicircle, we divide \(12\pi\) by \(2\) to get \(6\pi\) mm. The question is asking to round your answer, so we can get \(18.85\) mm. 

b) If \(r = 4\), then \(d = 8\). We do the same thing for this problem as we did the last. The circumference for the semicircle would be \(4\pi\) ft. This multiplied by \(\pi\) rounds to \(12.57\) ft.

c) The question does not specify is \(d = 9\) or \(r = 9\). If \(d = 9\), the circumference would be \(4.5\pi\) m. If \(r = 9\), the circumference would be \(9\pi\) m. This will give us \(28.27\) m.

d) This question does not specify whether \(d = 11.5\) or \(r = 11.5\), as well. If \(d = 11.5\), the circumference for the semicircle would be \(5.75\pi\) in. If \(r = 11.5\), the circumference for the semicircle would be \(11.5\pi\) in. So our answer would be \(36.13\) in.

- Daisy