Answer:
The answer most likely would be x > -3
Step-by-step explanation:
It would be this because it's a opened dot and not a closed one. A closed dot would have the greater or less than sign with the line underneath it
REMEMBER if it is shaded to the right then the inequality points to the right (>). If it is shaded to the left the inequality points to the left (<)
HOPE THIS HELPS
Answer:
47.06% of the population has an IQ between 85 and 105.
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:
What percent of the population has an IQ between 85 and 105?
This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So
X = 105
has a pvalue of 0.6293.
X = 85
has a pvalue of 0.1587
So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.
There are 6 sides on a dice. This means each number has a 1/6 chance of appearing. (1 number out of 6 sides). This includes 6, so the answer to a is 1/6. If you roll or do not roll a six, this means every side of the dice counts. The answer to be, by extension, is 6/6. Finally, c is b (the probability of anything) minus a (the probability of a six), representing every situation that is not a 6, so 5/6.
Ordered pairs :
A. (4,2)
B. (5,-2)
C.(0,-1)
D.(-3,1)
E. (2,7)
F. (8,4)
Answer:
A, B, F are solution to the inequality
Step-by-step explanation:
5x - y > 4
To obtain the pairs which are solution to the linear inequality ; we plug in each orders pair of values into the inequality :
A.)
(4,2)
5x - y > 4
5(4) - 2 > 4
20 - 2 > 4
18 > 4 - - - - - - - True
B.
(5, -2)
5x - y > 4
5(5) - (-2) > 4
25 + 2 > 4
27 > 4 - - - True
C.
(0, -1)
5x - y > 4
5(0) - (-1) > 4
1 > 4 - - - - - - - Untrue
D.
(-3,1)
5x - y > 4
5(-3) - 1 > 4
-15 - 1 > 4
-16 > 4 - - - - - > Untrue
E.
(2,7)
5x - y > 4
5(2) - 7 > 4
10 - 7 > 4
3 > 4 - - - - Untrue
F.
(8,4)
5x - y > 4
5(8) - 4 > 4
40 - 4 > 4
36 > 4 - - - - - - - True
Answer:
E & F
Step-by-step explanation:
First find the slope of the line
m = (6 + 6)/(-1 - 2) = 12/-3 = -4
Now use the point-slope form
y - 6 = -4(x + 1)
y - 6 = -4x - 4
y = -4x + 2
