Answer:
416 in²
Step-by-step explanation:
Given that:
Height. h = 4 in
Length = 12 in
Width = 10 in
The surface area of a rectangular prism is obtained using the relation :
Surface Area, S = 2(lw + lh + wh)
S = 2[(10*12) + (10*4) + (12*4))
S = 2(120 + 40 + 48)
S = 2(208)
S = 416 in²
Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes
Step 1: Simplify both sides of the equation.
Step 2: Subtract 18.25x from both sides.
Step 3: Subtract 22 from both sides.
Step 4: Divide both sides by 6.25
Therefore, the total cost for each health club will be the same after 4 months.