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s2008m [1.1K]
3 years ago
10

In a probability experiment, Eric flipped a coin 33 times. The coin landed on heads 22 times. What is the ratio of heads to tail

s in this experiment
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

22:11 which would simplify to 2:1

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A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P
Hatshy [7]

Step-by-step explanation:

they are independent systems, so in case of an emergency both systems will activate.

this is like rolling 2 dice and asking for the probability that both will show 1.

the probability that both will fail is the product of the individual probabilities for failure :

0.01 × 0.03 = 0.0003

so, the third answer option is correct.

FYI - the probability for 2 dice to both roll 1 is

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3 0
2 years ago
Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
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Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

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4 years ago
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3 years ago
If two parallel planes are cut by a third plane, then the lines of intersection are _________.
maxonik [38]
<span>If two parallel planes are cut by a third plane, then the lines of intersection are parallel and cannot intersect one another.</span>
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Solve the system of equations.<br> 3x+4y=−23<br> x=3y+1<br> x=<br> y=<br> ​
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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