Answer:
probability the student plays both instruments is [ 
]
<h2>
<u>
Explanation</u>
:</h2>
students who play both instruments = total students - flute players - piano players - students who play neither instruments
students who play both instruments
→ 31 - 4 - 14 - 7
→ 6 students play both instruments.
probability:
<h2>→
</h2><h2>→
</h2>
Answer:
b=23 degrees
Step-by-step explanation:
a was 66 degrees so b=23 degrees 180-90-66=23
Answer:
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Step-by-step explanation:
Given
- Initial velocity u = 10 m/s
To determine
Acceleration a = ?
Using the formula to determine the acceleration
a = (v - u) / t
substituting u = 10 m/s, v = 0 and t = 5
a = (0 - 10) / 5
a = -10 / 5
a = -2 m/s²
Thus,
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Answer:
C. 45 and 141 seconds
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 93 seconds
Standard deviation = 16 seconds
99.7% of running times are approximately between:
By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean
3 stnadard deviations below the mean
93 - 3*16 = 45 seconds
3 standard deviations above the mean
93 + 3*16 = 141 seconds
The correct answer is:
C. 45 and 141 seconds
