Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:
z = (x - µ)/σ
Where
x = lifespan of the tire in miles.
µ = mean
σ = standard deviation
The given figures include,
µ = 40000 miles
σ = 5000 miles
The probability that a tire will last precisely 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500) / 5000 = -1.5
According to the standard normal distribution table, the probability associated with this z score is 0.067
Answer:
The range of cheerleaders' heights lies within the interval [58, 74)
It includes all real numbers from 58 inches and above, but below 74 inches.
Step-by-step explanation:
we have
Separate the combined inequality into two distinct inequalities
-----> inequality A
-----> inequality B
Solve inequality A
Subtract 28 from both sides
Split by 4 on both sides
Reformulate
Address inequality B
Subtract 28 from both sides
Split by 4 on both sides
consequently
The height range of the cheerleaders is the interval [58, 74)
It consists of every real number starting from 58 inches and less than 74 inches
5(11 squared + 1) plus 16
5(121 + 1) plus 16
5(122) plus 16
605 plus 16
p(11) equals 626
The third option is correct. Step-by-step explanation: Various transformations apply to a function f(x). If a transformation is applied downward by 'k' units, the function shifts down; if upward, it rises 'k' units. Additionally, if scaled vertically by a factor of 'b', it will stretch; if reflected over the x-axis, the operation is indicated. Thus, since the parent function has undergone reflection over the x-axis, a vertical stretch by a factor of 2, and a downward shift of three units, we can derive that the transformed function is presented.
