What to the fourth power equals 0.0625?
1 answer:
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Answer:
The slope is
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵
∴ m =
∴ The slope is
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
<u>Answer:</u>
2. The correct answer option is 25%.
3. The experimental probability is 3% greater than the theoretical probability.
<u>Step-by-step explanation:</u>
2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.
We are to find the experimental probability of getting the number 2.
P (2) = = 25%
3. The theoretical Outcomes are: HH HT TH TT
So theoretical probability of getting HH = = 25%
Total number of outcomes = = 100
So experimental probability of getting HH = = 28%
Therefore, the experimental probability is 3% greater than the theoretical probability.
Good luck to you! Any questions, ask away.
