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Mathematics

1 answer:

Tasya [4]2 years ago

5 0

Answer:

cone1,cone3,cone2 or no f

Step-by-step explanation:

Calculate Volume of the cones:

Cone 1:Formula=pir^2h/3

=Approximately 452.39

Cone2:Approximately,904.78

Cone 3:Approximately,733.04

We can see Cone 2 has highest and 1 has lowest

So the order is 1,Cone3,Cone2

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natulia [17]

Answer:

16.7%.

Step-by-step explanation:

There are initially $24 + 15 + 8 = 47$ pencils in the bag.

Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let $A$ represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:

$\displaystyle P(A) = \frac{15}{47}$ .

There are now $47 - 1 = 46$ pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let $B$ represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:

$\displaystyle P(B|A) = \frac{24}{46}$ .

The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:

$\displaystyle P(A\cap B) = P(A) \cdot P(B|A) = \frac{15}{47}\times \frac{24}{46} = 0.166512 \approx 16.7\%$ .

5 0

3 years ago

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = $\frac{x-mean}{standard deviation}$