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1 answer:
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Answer:
The quantity of dried fruit of $ 3 per pound is 30 pounds
The quantity of dried fruit of $ 3.80 per pound is 50 pounds .
Step-by-step explanation:
Given as :
The price of one dried fruit = $ 3.00 per pound
The price of other dried fruit = $ 3.80 per pound
The total quantity of mix dried fruit = 80 pounds
The price of sell for mix dried fruit = $ 3.50 per pound
Let The quantity of dried fruit of $ 3 per pound = x pounds
And The quantity of dried fruit of $ 3.80 per pound = y pounds
Now , According to question
x + y = 80 pounds
And 3 × x + 3.8 × y = 3.5 × ( x + y )
Or, 3 x + 3.8 y = 3.5 x + 3.5 y
Or, 3.8 y - 3.5 y = 3.5 x - 3 x
or, 0.3 y = 0.5 x
Or, y = x
I.e y = x
Put the value of y in x + y = 80 pounds
I.e x = 80 - y
Or, x = 80 - x
Or, x + x = 80
or, x = 80
Or, x = 80
∴ x =
I.e x = 30
So,The quantity of dried fruit of $ 3 per pound = x = 30 pounds
Now, y = 80 - x
∴ y = 80 - 30
I.e y = 50
So,The quantity of dried fruit of $ 3.80 per pound = y = 50 pounds
Hence The quantity of dried fruit of $ 3 per pound is 30 pounds
And The quantity of dried fruit of $ 3.80 per pound is 50 pounds . Answer
Answer:
a) Attachment
b) 6 to 14.8 in
c) 2.5%
Step-by-step explanation:
Given:
- The mean is u = 10.4 in
- The standard deviation s.d = 4.4
- Sample size n = 28
Find:
- Choose the correct Normal model for tree diameters. A. B. C.
- What size would you expect the central 68% of all tree diameters to be?Using the 68-95-99.7 rule, the central 68% of the tree diameters are between ____ inches and _____ inches.
- About what percent of the trees should have diameters below 1.6 inches?
Solution:
- The central 68% lies within two s.d from mean.
10.4 + 1*4.4 = 14.8
10.4 - 1*4.4 = 6
Hence, the central 68% are between 6 and 14.8 inches.
- The central 95% lies within two s.d from mean.
10.4 + 2*4.4 = 19.2
10.4 - 2*4.4 = 1.6
- The central 95% are between 1.6 and 19.2 inches.
- Hence, P ( X < 1.6) = (1 - 0.95)/2 = 0.025 or 2.5%
