Answer:
x = 36
Step-by-step explanation:
2,200.413 is 2,165.413 to its nearest hundredth.
Answer:
3/2 is slope
m= slope
y=mx+b
Step-by-step explanation:
2y=3/2x+7/2
<h3>
Answer: t = 7</h3>
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Explanation:
If we replace every copy of x with t, then we go from this
F(x) = 3x+5
to this
F(t) = 3t + 5
All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.
So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26
Let's solve for t
3t+5 = 26
3t = 26-5 .... subtract 5 from both sides
3t = 21
t = 21/3 .... divide both sides by 3
t = 7 is the answer
Now note that...
F(t) = 3t + 5
F(7) = 3*7 + 5 .... replace t with 7
F(7) = 21 + 5
F(7) = 26
This means we got F(t) = 26 when t = 7
It's the same as saying x = 7 leads to F(x) = 26.
This helps confirm we have the correct answer.
Probability is represented as the number of ways for an event to happen over all possible outcomes. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.