Answer:
The standard deviation is $26.67.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
Assuming a normal distribution, if 70 percent of the filings cost less than $171.00, what is the standard deviation?
This means that when X = 171, Z has a pvalue of 0.7. So when Z = 0.525.
The standard deviation is $26.67.
Answer:
a. 2x+2
b. 6x+24
c. 15x +18
Step-by-step explanation:
distribute the outer number
Answer:
w = 89
Step-by-step explanation:
The three angles shown are all exterior angles. In any polygon, the sum of its exterior angles is equal to 360°.
Set up the equation:
(2w-35)+(2w-47)+(w-3)=360
Combine like terms:
5w - 85 = 360
Add 85 to both sides:
5w = 445
Divide both sides by 5:
w = 89 (ans)
Answer:
a=2
b = -2
c= -7
d= 6
e= 6
f= 7
Step-by-step explanation:
Answer:
53, 55, 57, and 59
Step-by-step explanation:
Let the numbers be
x, x +2, x +4, and x+6. Then
x + x+2 + x +4 + x + 6 = 224 Combine like terms
4x + 12 = 224 Subtract 12 from each side
4x = 212 Divide each side by 4
x = 53
The four consecutive integers are 53, 55, 57, and 59.
<em>Check:
</em>
53 + 55 + 57 + 59 =224