Answer:
1/8
Step-by-step explanation:
This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.
The probability of flipping tails is 1/2. We need three of these.
1/2 x 1/2 x 1/2 = 1/8
y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
Answer:
4 and 4 inches left
Step-by-step explanation:
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Using it's concept, the range of the function is given as follows:
0 ≤ m ≤ 1200.
<h3>What is the range of a function?</h3>
The range of a function is the set that contains all possible output values for the function.
For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.
- The smallest possible mass for the substance is of 0 grams, as after the substance decays to 0 grams, it will not assume a negative value, it will just disappear.
- The greatest possible mass for the substance is the initial mass of 1200 grams, as the substance does not adquire mass with time, it just loses it.
Considering these masses, the range of the function is given as follows:
0 ≤ m ≤ 1200.
More can be learned about the range of a function at brainly.com/question/10197594
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