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deff fn
2 months ago
15

answer to three friends each create 4 bags of starter bread dough. after ten days, each of those four bags is then divided into

four more bags of dough. how many days pass before 192 bags of dough are created
Mathematics
1 answer:
tester [12.3K]2 months ago
7 0
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.
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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if
Zina [12379]

Answer: The mean and variance of Y are $0.25 and $6.19 respectively.

Step-by-step explanation:

The scenario is as follows: You and a friend participate in a game involving tossing a fair coin.

The sample space for tossing two coins is {TT, HT, TH, HH}

Let Y represent the earnings from one round of the game.

If both faces are heads, you win $1; therefore, P(Y=1)=P(TT)=\dfrac{1}{4}=0.25

You win $6 if both faces are heads, so P(Y=6)=P(HH)=\dfrac{1}{4}=0.25

If the faces do not match, you lose $3 which means P(Y=1)=P(TH, HT)=\dfrac{2}{4}=0.50

To find the expected value to win: E(Y)=\sum_{i=1}^{i=3} y_ip(y_1)

=1\times0.25+6\times0.25+(-3)\times0.50=0.25

Thus, the mean of Y: E(Y)= $0.25

E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25

Variance = E[Y^2]-E(Y)^2

=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19

Therefore, variance of Y = $ 6.19

6 0
29 days ago
Round off 17.2 to one significant figure
Leona [12618]
Rounding 17.2 to one significant figure gives you 17. This is because when the digit after the decimal point is below 5, you simply keep the number as is, but if it's 5 or above, you round up.
5 0
1 month ago
Which statement best describes the parties in this lease? Candace Pickles is the renter, Capital Rabbit Properties is the agent,
zzz [12365]

Answer:

As I understand it, Candace Pickles is the renter, Capital Rabbit Properties serves as the owner, while Robin Russo acts as the agent, though I'm not completely certain.

Step-by-step explanation:

4 0
1 month ago
Two ferries travel across a lake 50 miles wide. One ferry goes 5 miles per hour slower than the other. If the slower ferry leave
Svet_ta [12734]

Answer:

Step-by-step explanation:

Let x represent the speed of the first ferry.

Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.

The time taken by the first ferry is calculated as distance divided by speed = \frac{50}{x}

The time taken by the second ferry equals \frac{50}{x-5}.

Since the second ferry departs one hour earlier, the times differ by 1 hour.

\frac{50}{x-5}-\frac{50}{x}=1\\50x-50(x-5)=x(x-5)\\250 = x^2-5x\\x^2-5x-250 =0\\(x-10)(x+5) =0\\x=18.5, -13.5

The speed cannot be negative.

Thus, the speed of the first ferry is determined to be 18.5 mph,

and for the second, slower ferry, it equals 13.5 mph.

5 0
1 month ago
2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 d
tester [12383]

Answer:

95^\circ

Step-by-step explanation:

Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:

\angle TRV=95^\circ

m\angle TRV=m\angle SRW$ (Vertically Opposite Angles)\\Therefore:\\m\angle SRW=95^\circ

6 0
1 month ago
Read 2 more answers
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