Answer:
(i) The surface(sheet) of a conical tent is circular so we must use the formula for the area of a circle to find out;
Given the diameter 14, we must find the radius.
To find the radius we must do 1/2 of the diameter to get the radius.
14 x 1/2 = <u>7</u>, is the radius
Formula for area of a circle;
a = πr^2
where pi is 3.14 or 22/7, r is the radius which is being squared
Plug in the actual values:
a = πr^2
a = 3.14 x 7^2
a = 3.14 x 49
a = 153.86 square meters, is the area of the conical tent's sheet.
(ii) Since there are 153.86 meters in one sheet, we should multiply that by $12(because $12 per meter) to get the total cost.
So,
153.86 meters x $12 = $1,846.32, it would cost 1,846.32 dollars.
The value of z if x = 36 and y = 6 is 42
<h3>Direct and inverse variation</h3>
Suppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
Learn more on variation here: brainly.com/question/6499629
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Answer:
probability of defective = 0.0545
Probability of a chip to be stolen = 0.0917
Step-by-step explanation:
given data
all computer chips produced are defective = 50%
legally marketed are defective = 5 %
stolen = 1%
solution
we get here probability of defective that is
probability of defective = P ( insepected and defective + stolen and defective) .........................1
put here value
probability of defective = (1 - 0.01) × 0.05 + 0.01*0.5
probability of defective = 0.0545
and
So, Probability of a chip to be stolen given defective =P (stolen and defective) ÷ P(defective) ......................2
put here value
Probability of a chip to be stolen = 0.01 × 0.5 ÷ 0.0545
Probability of a chip to be stolen = 0.0917
