3 years ago

Need help solving this problem down below.

Mathematics

1 answer:

Veronika [31]3 years ago

3 0

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

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A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati

eduard

Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%

6 0

3 years ago

There are 4 grams of fiber in 1/2 cup of oats how many grams of fiber are in 3 1/2

Anna71 [15]

Answer:

28 grams

Step-by-step explanation:

In cup of oats, amount of fiber is = 4 grams

In 1 cup of oats amount of fiber is = = 8 grams

So, in or cups of oats, amount of fiber is = 28 grams

3 0

3 years ago