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irga5000 [103]
2 years ago
7

Have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distribut

ed. what is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?
Mathematics
1 answer:
Oliga [24]2 years ago
6 0
Standardised z score = (16.075 - 16) / 0.2  =  0.375

which gives a probability of 0.1462  for  selecting a package of weight 16.075

the probability of weight being excess of 16.075 = 0.5 - 0.1462 =  03538

Probability of picking 16 in excess of 16-075 = 0.3538^16 =  6.0273 * 10^-8
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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
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Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

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