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3 years ago

Can anyone help me with jest ions 3 and 4

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

Cylinder
volume=πr^2h

VashaNatasha [74]3 years ago

3 0

For the question # 3 the formula is πr2h and the answer for that is 7690.62 and for #4 the formula is πr2h/3 and the answer for that is 3735.56 i hope this helps:) for the formula's i am sorry that it is written weird

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Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

Estimate a 10% tip on a bill of $158.71 by first rounding the bill amount to the nearest ten dollars.

irga5000 [103]

158.71 rounded to the nearest ten dollars would be $160.00

then to estimate 10% since 10% starts with a 1, just remove the zero from both numbers

so 160 becomes 16

the tip would be $16

5 0

3 years ago

Emma needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5

nika2105 [10]

Answer:

115

Step-by-step explanation: trust me twin

6 0

2 years ago

EXAMPLE 4 Find the moments of inertia Ix, Iy, and I0 of a homogeneous disk D with density rho(x, y) = rho, center the origin, an

andreyandreev [35.5K]

Answer:

Check the explanation

Step-by-step explanation:

Moment of inertia refers to a specific rotation axis, when there’s is a moment of inertia of a point mass with respect to an axis it means the creation of the mass that is multiplied by the distance from the axis squared. The moment of inertia of whichever extended object is a build up from that fundamental definition.

Kindly check the attached image below for the step by step explanation to the question above.

6 0

3 years ago

Four equivalent expressions of 32+48

Sladkaya [172]

30 + 50
240/3
20*4
43 + 37

Essentially any equation that equals 80.

5 0

3 years ago