Answer:(
(1,0),(-3,0)
Step-by-step explanation:
Answer:
57.49% probability that a randomly selected individual has an IQ between 81 and 109
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:

Find the probability that a randomly selected individual has an IQ between 81 and 109
This is the pvalue of Z when X = 109 subtracted by the pvalue of Z when X = 81. So
X = 109



has a pvalue of 0.67
X = 81



has a pvalue of 0.0951
0.67 - 0.0951 = 0.5749
57.49% probability that a randomly selected individual has an IQ between 81 and 109
Answer:
Pi is a good answer to this. If you don't know what Pi is, here's what it is: https://www.piday.org/million/
Step-by-step explanation:
2x + y = 20
y = 20 - 2x
Substitute into second equation:
6x - 5(20-2x) = 12
6x -100 +10x = 12
16x = 112
x = 7
Plug back into first equation:
2(7) + y = 20
14 +y = 20
y = 6
Answer is x = 7 and y = 6
Let's solve your inequality step-by-step.<span><span>−<span>10x</span></span><40</span>Step 1: Divide both sides by -10.<span><span><span>−<span>10x</span></span><span>−10</span></span><<span>40<span>−10</span></span></span><span>x><span>−4</span></span>Answer:<span>x><span>−<span>4</span></span></span>