Answer:
The minimum score of those who received C's is 67.39.
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:
If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?
This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.
The minimum score of those who received C's is 67.39.
Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be 
Age of 3rd sibling will be 
next, forming an equation for the sum of sibling´s age.
⇒
Opening the parenthesis
⇒ 
⇒
Subtracting both side by 3
⇒
⇒
Dividing both side by 3
⇒
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.
Answer:
x2+8x
Step-by-step explanation:
1.) -4 , -2 , 1 , 3 , |-5|
-4 and -2 are first because they are the least, then 1 and 3 are next. The absolute value of -5 is last because it has the greatest value, 5. (The absolute value of a negative number is the same number but positive)
2.) |8| , -5 , 0 , |-9| , 11
The absolute value if 8 is first because it has the least value, -8. (The absolute value of a positive number is the same number but negative) Then -5 and 0 are next. The absolute value of -9 is next because it is actually 9, and 11 is last because it has the greatest value.
