Afarm stand wants to sell fruit to local grocery stores in packages with baskets of strawberries, worth $7 apiece, and baskets of raspberries, worth $11 apiece. the owner wants each package to include 30 baskets total, and he wants to sell each package for $246. how many baskets of strawberries and how many baskets of raspberries should he put in each package ?

number of baskets of strawberries in each package = 21

number of baskets of raspberries in each package = 9

Step-by-step explanation:

Let x = number of baskets of strawberries in each package.

Let y = number of baskets of raspberries in each package.

Baskets of strawberries worth $7 apiece, and baskets of raspberries, worth $11 apiece. The cost of the each package is $246. This means

7x + 11y = 246 - - - - - - - - -1

The owner wants each package to include 30 baskets total. This means

x + y = 30

Put x = 30 - y in equation 1

7(30-y) + 11y = 246

210 - 7y + 11y = 246

-7y + 11y = 246 - 210

4y = 36

y = 36/4 = 9

x = 30-y = 30-9

= 21

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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