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lakkis [162]
3 years ago
12

The following measurements were taken of a tree. Do the age and height show direct variation? If so, write the equation of varia

tion.
direct variation y = 0.28x

direct variation y = 0.28x + 3.6

direct variation x = 3.6y

no direct variation

Mathematics
2 answers:
KiRa [710]3 years ago
7 0
Replace the value of x and y into the equations and see if they solve:

x = -5, y = 24

24 = 0.28(-5),  24 = -1.4 False
24 = 0.28(-5) +3.6, 24 = 2.2 False

-5 = 3.6(24), -5 = 86.4 False
 none of the given equations work, so there is no direct variation

Dmitriy789 [7]3 years ago
4 0
Hello!
----------
There is no direct variation in the age and height.
----------
WORK: 0.28*-5= -1.4
             0.28*-5+3.6=2.2
             3.6*24=86.4
----------
Hope this helps and have a great day!
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The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard devi
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a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

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standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

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(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)

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(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

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(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)

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(iii) Find the position of "Greater than 0.075 kg (large size)":

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<u>Check:</u> <em>288 eggs + 1476 eggs + 36 eggs = 1,800 eggs</em>

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

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(i) The expected profit made from selling the standard size:

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Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

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Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: brainly.com/question/22520030

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