Answer:
-29
Step-by-step explanation:
If and r = -5 for the rate or difference between terms, then the sequence is 1, -4, -9, .... etc.
To find a(7), continue the pattern until you find the 7th term.
1, -4, -9, -14, -19, -24, -29....
a(7) = -29
When solved
(x + 1 < 4) ∩ (x - 8 > -7)
becomes:
(x+1-1 < 4-1) ∩ (x - 8 +8 > -7+8 )
(x < 3) ∩ (x > 1).
and if you change places it will become even more obvious:
( 1<x ) ∩ ( x < 3 )
meaning: x is set of all numbers greater than 1 and less than 3 or otherwise:
{x | 1 < x < 3}
9514 1404 393
Answer:
no; 1+1=2, a number not in the set
Step-by-step explanation:
A set is closed under addition if the addition of any two members of the set results in a member of the set.
0 + 0 = 0 . . . in the set
0 + 1 = 1 . . . in the set
1 + 0 = 1 . . . in the set
1 + 1 = 2 . . . not in the set. The set is not closed under addition.
5 is a constant. (it has no variables)
x + 2 is not a constant. It does, however, have two terms, x and 2.
(terms are seperated by addition/subtraction)
This rules out a and b.
As for c... 5(x+2) implies <em>multiplication</em>, which would be a product, not a sum.
d. The product of a constant factor 5 and a 2-term factor x+2
Answer:
0.1069 = 10.69%
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 question:
Between 57 and 69
This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So
X = 69
has a pvalue of 0.9918
X = 57
has a pvalue of 0.8849
0.9918 - 0.8849 = 0.1069 = 10.69%