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Archy [21]
3 years ago
13

Sheldon needs to buy 7 gallons of ice cream for a family reunion. the table shows the prices for different sizes of two brands o

f ice cream. (PHOTO IS ATTACHED) Which size container of Cold Farm ice cream is the better deal for Sheldon? complete the explanation to justify your answer.
56 pints of Cold Farm ice cream cost $___, and 28 quarts of Cold Far, ice cream cost $___? the ___ (select answer, large or small) size container is the better deal for Sheldon.

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Since 56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

From the table, we are told that <u>1 pint of Cold farm costs $2.50</u>, this can be written as:

  • 1pint = $2.50

56pints of the cold farm will cost (56 * 2.50) = $140

Similarly, <u>1 quartz of Cold farm costs $4.75</u>, this can be written as:

  • 1quartz = $4.75

28pints of the cold farm will cost (28 * 4.75) = $133

56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

Learn more on proportions here: brainly.com/question/19994681

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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=the%20%5C%3A%20angle%20%5C%3A%20of%20%5C%3A%20measure%20%5C%3A%20%20%5Cfrac%7B31%5Cpi%7D%7B6%7
Yakvenalex [24]

Answer:

3rd quadrant

Step-by-step explanation:

  • First we just convert the angle from radians to degrees
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  • Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
  • 930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees  
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  • 90 degrees to 180 degrees is 2nd quadrant
  • 180 degrees to 270 degrees is 3rd quadrant
  • 270 degrees to 360 degrees is 4th quadrant
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