How to solve 8x + 7= 31 step by step
2 answers:
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Solution:
We are given below frequency table:
Amusement-Park Museum Broadway-Show Total
Juniors 57 21 42 120
Seniors 64 44 58 166
Total 121 65 100 286
We have to find the percentage of surveyed students who chose the amusement park.
From the table, we see there are total 121 students who chose amusement park out of total 286 students.
Therefore, the percentage of surveyed students who chose the amusement park is given below:
Hence, the option A. 42.30% correct.
Answer:
The constant force exerted on the ball by the wall is 119.68 N.
Step-by-step explanation:
Consider the provided information.
It is given that the mass of the ball is m = 2.2 kg
The initial velocity of the ball towards left is 7.4 m/s
So the momentum of the ball when it strikes is =
The final velocity of the ball is -6.2 m/s
So the momentum of the ball when it strikes back is =
Thus change in moment is:
The duration of force exerted on the ball t = 0.25 s
Therefore, the constant force exerted on the ball by the wall is:
Hence, the constant force exerted on the ball by the wall is 119.68 N.
Answer:
0.1971 ( approx )
Step-by-step explanation:
Let X represents the event of weighing more than 20 pounds,
Since, the binomial distribution formula is,
Where,
Given,
The probability of weighing more than 20 pounds, p = 25% = 0.25,
⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75
Total number of samples, n = 16,
Hence, the probability that fewer than 3 weigh more than 20 pounds,