The first-serve percentage of a
tennis player in a match is normally distributed with a standard deviation of
4.3%. If a sample of 15 random matches of
the player is taken, the mean
first-serve percentage is found to be 26.4%. The margin of error of the sample
mean is 83.71%.
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
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Answer:
x=4
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Step-by-step explanation:
-Solving:
2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4
2x + 5 – 6x + 21 = 6x – 10 – 4
-4x + 26 = 6x - 14
10x= 26+14
10x=40
x=4
-Checking:
x=4
2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10
2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.
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