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Arturiano [62]
3 years ago
15

Directions: Set up a system of equations based on the information in the word problem and plz show work 1: The local street cart

sells bacon egg and cheese sandwiches for $2.50, and soft drinks for $0.75. The street vendor made a total of $933 after selling a total of 747 sandwiches and soft drinks.
Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

2.5x+0.75y=933

x+y=747

Step-by-step explanation:

x= number of cheese sandwiches

y= number of soft drinks

first equation: 2.5x+0.75y=933

**this is representing the cost of the drinks and sandwiches

second equation: x+y=747

**because x and y are the NUMBER of soft drinks and sandwiches, they both have to toal up to 747.

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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.

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

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

Now let us find z-score for 86.

z=\frac{86-74}{6}    

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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,    

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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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