Jack draws a rainbow which is a parabola that has the equation

A cereal company is giving away 1 of 6 different prizes in each box of cereal. Describe a simulation you could use to estimate t

Nastasia [14]

Answer:

The appropriate simulation is a fair dice with each side representing one of the prizes

Step-by-step explanation:

Here we have a simulation with a fair dice

A fair dice is a cube with each of the six faces having a value of 1 to 6 and the probability of any face turning up is the same for all faces 1/6. That is all the chance that a 1 shows face up is 1/6 similarly, the probability that a 4 shows face up is 1/6.

Therefore, in the simulation, each face of the fair dice represent one of the prizes therefore the number of times the dice is thrown to get all six numbers is the number of boxes you need to get all the prize

At its simplest, a fair dice means that each of the faces has the same probability of landing facing up. A standard six-sided dice, for example, can be considered "fair" if each of the faces has a probability of 1/6.

Therefore to have all the prizes you need at least

$\frac{6}{6}\times \frac{5}{6}\times \frac{4}{6}\times \frac{3}{6}\times \frac{2}{6}\times \frac{1}{6} = \frac{5}{324}$

or the chance of getting all the prices is 0.01543 or once in 1620 trials

That is 1620 boxes are needed to be sure of getting all 6 prizes.

8 0

3 years ago

The cost of 2 baseball bats, one aluminum, one wooden, is $300. If the aluminum bat costs $40 more than the wooden bat, how much

svp [43]

A + w = 300
a = w + 40

(w + 40) + w = 300
2w + 40 = 300
2w = 300 - 40
2w = 260
w = 260/2
w = 130 <=== cost of wooden bat

a = w + 40
a = 130 + 40
a = 170 <=== cost of aluminum bat

8 0

3 years ago

Read 2 more answers

Find the product mentally.

yaroslaw [1]

(ab+3)(ab−3)

=(ab+3)(ab+−3)

=(ab)(ab)+(ab)(−3)+(3)(ab)+(3)(−3)

=a^2b^2−3ab+3ab−9

=a^2b^2−9

8 0

4 years ago

Read 2 more answers

All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Her

Tanya [424]

Answer:

a. Pr(They both have type O)

= Pr(They both have type O)

= 0.35 x 0.45

= 0.1575 = 15.75%

b. Pr( they both have the same blood type)

= Pr( they both have the same blood type)

= 2/8

= 0.25 = 25%

c. Pr( at least one person has type O)

= Pr (at least one person has type O)

= 1 - 0.3575

= 0.6425 = 64.25%

Step-by-step explanation:

a) Data:

O A B AB

Chinese 0.35 0.27 0.26 0.12

American 0.45 0.4 0.11 0.04

b) Calculations:

i. Pr(They both have type O)

= Probability of Chinese with O multiplied by Probability of American with O

= 0.35 * 0.45

= 0.1575 = 15.75%

ii. Pr( they both have the same blood type)

= Probability of two out of 8 outcomes

= 2/8

= 0.25 = 25%

iii. Pr( at least one person has type O)

= Probability of (1 – p(none) )

The probability of none = p(none O blood type)

= p(none)

for Chinese = (0.27 + 0.26 + 0.12) * for American ( 0.4 + 0.11 + 0.04)

= 0.65 * 0.55 = 0.3575

Pr (at least one person has type O) = 1 - 0.3575

= 0.6425

4 0

3 years ago

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years wi

OlgaM077 [116]

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

3 0

3 years ago