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Morgarella [4.7K]
3 years ago
13

Cons A has a radius 6 units and height 4 units fond one possible radius

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

Step-by-step explanation:

The volume of a cone is given by

where

r is the radius

h is the height

Here we are told that both cones A and B have the same volume, which is:

And

(2)

We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.

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The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in
rodikova [14]
Part 1: <span>What is the periodic interest rate of jade investment?

Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%

Part 2: </span><span>How many compounding periods does Jade's investment offer in a year? how about in 8 years?

In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.</span>
5 0
3 years ago
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Two similar triangles have corresponding sides measuring 3 cm and 7 cm determine the ratio of their respective areas
Scrat [10]
If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3

Now, we have to work out the area scale factor !

This is simple, since area is given in cm² then all we have to do is square our original scale factor!

So,

7/3² = 49/9

So, we can say that the ratio of the area would be:

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Hope this helps! <3
8 0
3 years ago
Please need help fast. Look at the picture.<br><br> Please explain.
Zigmanuir [339]
The answer is 17

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mr.ross is building playroom.he is going to tile the flooring using 20cmx20cm tiles. the floor measures 2mx4m in area. how many
Valentin [98]

Answer:

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Step-by-step explanation:

area of the floor = 2m×4m

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the tiles needed to complete the job will be

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——–—–

20cm×20cm

change the meters to centimeters

200cm×400cm

————————

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therefore the answer is 200tiles.

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2 years ago
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