Answer:
Step-by-step explanation:
= x - 5 ( x ≥ 3 )
( )² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
= 7
= 4
Check the answer:
1). x = 7
= 7 - 2
√4 = 2
2 = 2
2). x = 4
= 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
Answer:
The correct option is C) 21.1 and 0.68
Step-by-step explanation:
Consider the provided information.
The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.
Therefore μ = 21.1 and σ = 4.8
It is given that the sample of 50 students;
Thus, sample size ( n ) = 50
According to the central limit theorem,
Therefore
Hence, the correct option is C) 21.1 and 0.68
The average speed would be 600 km/hr.
Step-by-step explanation:
Let the original speed be 'x'
Let the decreased speed be 'x-200'
Distance = 600 km
Time increased by 30 minutes
According to question, it becomes,
So, The average speed would be 600 km/hr.