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n200080 [17]
3 years ago
9

There are 12 paintings at an art show three of them are chosen randomly to display in the gallery window

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0

Answer:

It should be 220 opinion

In my step-by-step explanation:

nCr =  (r + n -1)! divided by r! x (n - 1) !

             

dusya [7]3 years ago
5 0

Answer:

220 Should be your answer!

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A shipment of sugar fills 4
Strike441 [17]

Answer:

4 containers * 2 tons = 8 tons total

Step-by-step explanation:

7 0
3 years ago
Carlos jogged 5 laps around the school track in 8 minutes. What was his average speed in laps per minute? lap(s) per minute PLEA
aleksklad [387]

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

5 0
3 years ago
F(x) = x^2 + 4x. G(x) = 1 + e^2x. As a single logarithm find fg(x) = 21
vfiekz [6]

Answer:

1/2 log2

Step-by-step explanation:

I hope you understand

8 0
2 years ago
In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo
larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine z_{\frac{\alpha}{2}}=z_{0.005}

Now by using z score table we find that  z_{\frac{\alpha}{2}}=2.58

The boundaries of the confidence interval are:

\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0
4 years ago
P-3=-4 solve the equation and check the solution
marishachu [46]

To solve the equation, you need to isolate/get the variable "P" by itself in the equation:

P - 3 = -4      Add 3 on both sides to get "P" by itself

P - 3 + 3 = -4 + 3

P = -1

PROOF

P - 3 = -4      Plug in -1 for P

-1 - 3 = -4

-4 = -4

7 0
3 years ago
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