Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
The events of rolling a 3 or a 5 are disjoint, so

.
Each face has a

probability of occurring, so the event of interest occurs with probability

. The number of times a 3 or 5 is rolled across 288 trials has a binomial distribution,

.
Recall that the expected value of a binomial distribution

is

. So in this experiment, we should expect to witness approximately

instances of rolling a 3 or a 5.
Answer:
The answer is below
Step-by-step explanation:
The question is not correct, a similar question is:
A specific shade of red nail polish requires 7 parts red to 2 parts yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. How can you fix the mixture to make the correct shade of red?
Solution:
A ratio is used in comparing amount of things, showing how the size of thing is compared to the other thing.
Given that:

Therefore to make the correct shade of red, an additional of 7 quarts of red is needed.
Hello!
When finding total possibilities, you have to multiply every type of thing together.
There are 5 drinks, 6 main dishes, and 4 desserts.
You have to multiply all 3 of them together.
4 × 5 × 6 = 120
<u>120 different meals</u> can be made from a drink, a main dish, and a dessert