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Scorpion4ik [409]
4 years ago
15

Lloyd used

Mathematics
2 answers:
Dimas [21]4 years ago
6 0

Answer:

1/8           Got it from USA Test Prep so i know its right

Step-by-step explanation:

multiply the numerator by the reciprocal of the denominator.

unit rate =  

1 /4

2 /3

=  

1 /4

×  

3 /2

=  

3 /8

pounds per gallon

Therefore,  

1

3

the recipe:  

3 /8

×  

1 /3

=  

1 /8

pounds of chocolate

s344n2d4d5 [400]4 years ago
5 0

Answer:

To make \frac{1}{3} gallons of pudding Lloyd will use \frac{1}{8} pounds of chocolate.

Step-by-step explanation:

Lloyd used  \frac{1}{4}   pounds of chocolate to make  \frac{2}{3}  gallons of chocolate pudding.

Now, Lloyd's recipe is for 1 gallon of pudding and to make \frac{1}{3} of the recipe means \frac{1}{3} gallons of pudding.

So, to make 1 gallon of chocolate pudding Lloyd will use (\frac{1}{4}\div \frac{2}{3}) = \frac{3}{8} pounds of chocolate.

Hence, to make \frac{1}{3} gallons of pudding Lloyd will use (\frac{3}{8} \times \frac{1}{3}) = \frac{1}{8} pounds of chocolate. (Answer)

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7 0
3 years ago
Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi
notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{68-74}{6}

z=\frac{-6}{6}=-1

Now let us find z-score for 86.

z=\frac{86-74}{6}    

z=\frac{12}{6}=2        

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,    

P(-1

P(2>Z)=.97725  

We will use formula P(a to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

P(-1

P(-1

Upon converting 0.81859 to percentage we will get

0.81859*100=81.859\approx 81.86

Therefore, 81.86% of final exam score will be between 68 and 86.  


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Angle Y equals Angle S

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