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andreev551 [17]
3 years ago
15

A number cube is rolled 3 times.

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0
6....................
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When a certain valve is open, 281 gallons go through it in one hour. The number of gallons that would go through in 94 hours is?
yarga [219]
281 gallons/ 60 min= 4.683 gallon per min
4.683 gallon per min * 94 hours= 440.23 gallons

Answer: 440.23 Gallons
8 0
2 years ago
A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?
skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

          S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

          E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

          P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

          P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

        P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0
2 years ago
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What does it mean to raise a power to another power?<br> PLS HELPPP
iris [78.8K]

Answer:

it means To raise a power to a power means to raise one exponent to another. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all you have to do is multiply the exponents together. Hope this helps

6 0
2 years ago
11. The Leonin family used 90 kWh for their electric consumption for the month of
almond37 [142]

Answer:

The electric bill of the Leonin family was of $ 877,626.

Step-by-step explanation:

Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:

9.7514 x 90 = X

877.626 = X

Thus, the electric bill of the Leonin family was of $ 877.626.

3 0
2 years ago
Estimate to 428,731 - 175,842
Luba_88 [7]
the answer to 300000 THAT'S THE ANSWER
6 0
3 years ago
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