25 Patricia bought 5 apples and 7 bananas for $12.65. Jose bought 10 apples and 8 bananas for $18.10 at the same grocery store. What is the cost of one apple?​

Apple cost $0.85

Banana cost $1.2

Step-by-step explanation:

Given data

let the number of apples be x

and the number of bananas be y

Patricia bought 5 apples and 7 bananas for $12.65

5x+7y= 12.651

Jose bought 10 apples and 8 bananas for $18.10

10x+8y= 18.102

solve 1 and 2 above

5x+7y= 12.65 X 2

10x+8y= 18.10 X 1

 10x+14y= 25.3

- 10x+8y= 18.10

         6y= 7.2

y= 7.2/6

y= 1.2

put y= 1.2 in 1

5x+7(1.2)= 12.65

5x+ 8.4= 12.65

5x= 12.65- 8.4

5x= 4.25

x= 4.25/5

x= 0.85

Hence each apple cost $0.85

Banana cost $1.2

the answer to your question is b.

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.