Which angle measure less than or equal to 360° is equivalent to an angle of 17π over 4
Answers
17/4π rad = (4π+π/4 )rad
17/4 π mod 2π = π/4 (rad) or 45°
Related Questions
Y=x+5 y=-2x-4solve by substitution
Last year a large trucking company delivered 9.0 x 105 tons of goods with an average value of $17,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation
Ashley works for 2.8 hours. For each hour that she works, she makes $7.75. How much money does she make in all
A car has a maximum speed of 341.7 feet/second. Convert this speed to miles/hours.
Answers
The slower cyclist's speed is 10 mph, and the faster cyclist's speed is 20 mph.
Let's denote the speed of the slower cyclist as "x" miles per hour (mph). Since the faster cyclist is going twice as fast, their speed would be "2x" mph.
When they start riding towards each other, their combined speed is the sum of their individual speeds:
Combinedspeed = x + 2x
= 3x mph.
We are given that they meet 3 hours later and travel a totaldistance of 90 miles.
The distance each cyclist travels can be calculated using the formula:
Distance = Speed × Time.
For the slower cyclist:
Distance = x × 3
Distance = 3x miles.
For the fastercyclist:
Distance = 2x × 3
Distance= 6x miles.
Since they are 90 miles apart and have traveled a total distance of 90 miles when they meet, we can set up an equation:
Distance of slower cyclist + Distance of faster cyclist = Total distance
3x + 6x = 90.
Simplify the equation:
9x = 90.
Divide both sides by 9:
x = 10.
So, the speed of the slower cyclist is 10 mph, and the speed of the faster cyclist is 2x which is 20 mph.
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Answers
Answers
Following are the calculation to the given points:
Using central limit theorem:
For point a)
Within population mean:
For point b)
Within population mean:
[tex]\to P(\mu-17<\bar{x}<\mu+17)=P\left ( \frac{\mu-17-\mu}{6.261}
Learn more:
Final answer:
To find the probability that the sample mean will be within a certain range, we need to calculate the z-scores and look them up in the z-table.
Explanation:
To find the probability that the sample mean will be within +/- 8 of the population mean, we need to convert this range to z-scores. The z-score formula is calculated by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.
For +/- 8, the z-score will be (8 - 0) / (70 / sqrt(125)) = 2.09.
Using the z-table, we can find the probability associated with a z-score of 2.09, which is approximately 0.9828. Therefore, the probability that the sample mean will be within +/- 8 of the population mean is 0.9828.
Similarly, for +/- 17, the z-score will be (17 - 0) / (70 / sqrt(125)) = 4.18. Using the z-table, the probability associated with a z-score of 4.18 is nearly 1.0000. Hence, the probability that the sample mean will be within +/- 17 of the population mean is 1.0000.
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g(x) = x − 8
−96
0
24
48
Answers
Answer: The correct option is (B) 0.
Step-by-step explanation: We are given the following two functions :
We are to find the value of f(g(6)).
To find the required value, first we need to find the value of f(g(x)).
We have
Therefore, we get
Thus, the required value of f(g(x)) is 0.
Option (B) is CORRECT.
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100
What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%
Answers
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100
Probability that a randomly selected person is 10-25 years old or prefers drinking rootbeer
Probability of 10-25 years old = 35/100 = 35%
Probability of drinking rootbeer = 25/100 = 25%
Probability of 10-25 years or perfers to drinking rootbeer
= 35% + 25% = 60% 1st option
Answers
=23(213738)(145678)
=23(213738)(145678)
=(23(170998))(145678)
=1709912(145678)
=12454740616
=20757901016