The solution is 20 days, found as follows:
Each of the three friends initially makes 4 bags of dough. After 10 days, each of these bags is split into 4 new bags:
3 friends × 4 bags = 12 bags, and 12 bags × 4 = 48 bags
Then in the following 10 days, 48 bags are again divided into 4 bags each:
48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.
Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
5q + 2d = 270
To determine the intercepts, start by setting d to 0, then to find q. The conditions yield:
5q = 270
q = 54; (0, 54)
2d = 270
d = 135; (135, 0)
This equation illustrates the total number of coins in the piggy bank. For (0, 54), this indicates the quantity of quarters when dimes are absent, while (0, 135) displays the number of dimes when there are no quarters.
Answer with explanation:
Total number of children = x
Total chocolates shared = y
In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.
Chocolates received by adults equal 20.
Let the number of adults be z.
Expressing this situation as an equation:
y = 5 x + 20 z
⇒Number of adults = z
Answer: Indeed, because the input value ranges from 0 to 12.
Step-by-step explanation:
To address this query, we first need to formulate a function that reflects the situation.
Every student engaging in community service earns the club $5
E(s) = 5 s
Where:
- E= total earnings
- n = number of students participating in community services (input value)
Indeed, since the input value n indicates how many students from the club engage in community service, and with the total number of students being 12, the input can indeed vary between 0 and 12.
