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myrzilka [38]
3 years ago
6

a baker makes cakes and sells them at county fairs his initial cost was $45 to reserve a booth and $25 traveling expenses. He fi

gures that it costs $1.75 to make each cake and he charges $6.50 per cake. Let x represent the number of cakes sold. Express the revenue R and Cost C as functions of x. Then find how many cakes will he need to sell before he will make a profit
Mathematics
1 answer:
swat323 years ago
6 0
Sorry but I don't know this question
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The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.
Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

4 0
3 years ago
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
Christopher can eat 8 bags of skittles in 5 minutes. What is his rate per minute? Round your answer to the nearest hundredth. At
Dennis_Churaev [7]
<span>8/5 = 1.6 bag per minute

8 bags of skittles in 5 minutes
?                              10 minutes

8 x 10 / 5 
= 80 /5
= 16

answer
</span>1.6 bag per minute
<span>and
16 bags in 10 minutes</span>
7 0
3 years ago
Translate the sentence into an equation<br>two more than the product of a number and 8 is 3.​
Bingel [31]

Answer: 8x + 2 = 3

Step-by-step explanation: "two more than" means "add 2" which is +2

The product of 8 and a (unknown) number is 8x

Use the = sign in place of "is"

3 0
3 years ago
Last year, the local animal shelter found homes for 12,308 dogs and 7,953 cats. What is the total number of dogs and cats the an
Murrr4er [49]
Shelters found for dogs = 12,308
Shelters found for cats  = 7,953

Total number of shelters found
= Shelters found for dogs + Shelters found for cats
= 12,308 + 7,953
= 20,261 shelters

Therefore, the total number of shelter found for both dogs and cats last year is 20,261 shelters
5 0
3 years ago
Read 2 more answers
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