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Shtirlitz [24]
4 years ago
13

A soda company produces about 500 cans of soda every day. Each can is supposed to contain 12 ounces. The actual volumes of 20 ca

ns are randomly checked for accuracy. Shown in the graph are the volumes of the cans checked during one day. Which statement is best supported by the information in the graph?

Mathematics
2 answers:
Irina-Kira [14]4 years ago
4 0

Answer:It is likely that 225 of the total cans produced that day had fewer than 12 ounces of soda.

Step-by-step explanation:

Drupady [299]4 years ago
3 0
The answer is "It is likely that 225 of the total cans produced that day had fewer than 12 ounces of soda."

Only 2 out of the 20 cans had exactly 12 ounces of soda. 2/20 = 0.1 = 10%. So you would only expect 10% of the 500 cans of soda to be exactly 12 ounces. This crosses out the first option.

9 out of 20 cans had more than 12 ounces of soda. 9/20 = 0.45 = 45%. This crosses out the second option, 45% of the cans produced that day had more than 12 ounces, not 50%. 45% of 500 is 225, so it is likely that 225 of the total cans produced that day had more than 12 ounces of soda. This crosses out the last option.

9 out of 20 cans had less than 12 ounces of soda. 9/20 = 0.45 = 45%. 45% of 500 is 225, so option C is correct, 225 of the total cans produced that day most likely had fewer than 12 ounces of soda in them.
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6. For what value of p, the binary number 110P/2 represents 25?​
lions [1.4K]

Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

25×2 = 50 = 11001 × 2 = 110010

multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

P = 010

FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.

so, the problem should have looked like

110P/10 = 11001

110P = 11001×10 = 110010

P = 010

3 0
1 year ago
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Please help 20 points
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Answer:

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A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% ch
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Is the sequence geometric? if so, identify the common ratio 1/5,2/15,4/45,8/135,16/405,...
Romashka-Z-Leto [24]
So have the sequence: \frac{1}{5} , \frac{2}{15} , \frac{4}{45} , \frac{8}{135} , \frac{16}{145} ,...
To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula: r= \frac{a_{n} }{a_{n-1}}
where 
r is the common ratio 
a_{n} is the current term in the sequence 
a_{n-1} is the previous term in the sequence
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:

For a_{n}= \frac{2}{15} and a_{n-1}= \frac{1}{5}:
r= \frac{ \frac{2}{15} }{ \frac{1}{5} }
r= \frac{2}{3}

For a_{n}= \frac{4}{45} and a_{n-1}= \frac{2}{15}:
r= \frac{ \frac{4}{45} }{ \frac{2}{15} }
r= \frac{2}{3}

For a_{n}= \frac{8}{135} and a_{n-1}= \frac{4}{45}:
r= \frac{ \frac{8}{135} }{ \frac{4}{45} }
r= \frac{2}{3}
As you can see, we have a common ratio!

We can conclude that our sequence is a geometric sequence and its common ratio is \frac{2}{3} 
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