<span>The best way to solve each equation is:
</span> 1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula
2) 4x2 - 25 = 0 -----------> solve by square root method
3) x2 - 5x + 6 = 0 --------> solve by factoring
4) x2 - 4x = 8 -------------> solve by completing the square
1. the mean is 16
2. the mean is 22.5
the formula that can be used to calculate the mean is
= sum of terms/number of terms
for the first question the mean can be calculated as follows
sum of terms= 20+15+19+16+10
= 80
number of terms= 5
mean= 80/5
= 16
for the second question the mean can be calculated as follows
sum of terms= 19+23+11+30+27+27+22+26+16+24
= 225
number of terms= 10
mean= 225/10
= 22.5
Hence the mean for the first expression is 16 and the mean for the second expression is 22.5
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Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Answer:
pic in explanation
Step-by-step explanation:
It's exponential decay function with y-int (0,3)
Answer:
Jennifer's height is 63.7 inches.
Step-by-step explanation:
Let <em>X</em> = heights of adult women in the United States.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 65 inches and standard deviation <em>σ</em> = 2.4 inches.
To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or <em>z</em>-score.
The standardized score of a raw score <em>X</em> is:

These standardized scores follows a normal distribution with mean 0 and variance 1.
It is provided that Jennifer is taller than 70% of the population of U.S. women.
Let Jennifer's height be denoted by <em>x</em>.
Then according to the information given:
P (X > x) = 0.70
1 - P (X < x) = 0.70
P (X < x) = 0.30
⇒ P (Z < z) = 0.30
The <em>z</em>-score related to the probability above is:
<em>z</em> = -0.5244
*Use a <em>z</em>-table.
Compute the value of <em>x</em> as follows:




Thus, Jennifer's height is 63.7 inches.