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kogti [31]
3 years ago
9

It takes 1/3 cups of powered punch mix to make 2/3 gallons of punch. If the recipe is for 1 gallon of punch, how much punch is n

eed to make 1/4 the recipe ?
Mathematics
2 answers:
aliya0001 [1]3 years ago
6 0

Answer:

1/8

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate = 1/3/2/3 = \frac{1}{3} × \frac{3}{2} = \frac{3}{6} = \frac{1}{2} cups of punch mix per gallon

Therefore, 1/4 the recipe:  1/2 × 1/4 = 1/8 cups of punch mix

podryga [215]3 years ago
5 0

\dfrac{1}{8}

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of powered punch mix cups required to make \frac{2}{3} gallons of punch is \frac{1}{3}

Number of powered punch mix cups required to make \frac{2}{3} gallons of punch is \frac{3}{2}\times\frac{1}{3}=\frac{1}{2}

Since the recipe is for 1 gallon,

\frac{1}{2} powered punch mix cups are required to make the complete recipe.

\frac{1}{4} \times \frac{1}{2} powered punch mix cups are required to make \frac{1}{4} recipe.

So,\frac{1}{8} cups of powered punch mix cups are required to make \frac{1}{4} recipe.

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nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
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<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

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Hence, for the given values of the discriminant, we have that:

  • discriminant = 0: 1 Real number solution.
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More can be learned about quadratic functions at brainly.com/question/24737967

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1 year ago
Suppose a random sample of 50 college students are asked to measure the length of their right foot in centimeters. A 95% confide
hichkok12 [17]

Answer:

A  99% confidence interval  will be wider than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The  95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm

Generally the width of a confidence interval is dependent on the margin of error.

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

From the above equation we see that

          E \ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Here  Z_{\frac{\alpha }{2} }  is the critical value of the half of the level of significance and this value  increase as the confidence level increase

Now if a  99% confidence level is  used , it then means that the value of  

 Z_{\frac{\alpha }{2} }  will increase, this in turn will increase  the margin of error and in turn this will increase the width of the confidence interval

Hence a 99% confidence interval  will be wider than a 95% confidence interval

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