Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
Her z-score is given by:
Z = 2.67
Z = 2.67 has a p-value of 0.9962.
Hence her score is higher than 99.62% of the population.
More can be learned about the normal distribution at brainly.com/question/25800303
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3)
f(x) =(x+1)/4
so
f(6a) = (6a+1) / 4
f(6a) =3/2(a) + 1/4
8)
f(x) =(x+1)/4 = 0
x + 1 =0
x = -1
answer
x = -1 makes f(x) = 0
9)
(x+1)/4 >= 10
x + 1 >= 40
x >= 39
Answer
Domain is any number greater or equal 39 (x >= 39)
Answer:
so 5 miles upstream and 15 miles downstream
Step-by-step explanation:
25/5=5
30/2=15
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
Answer: 
Step-by-step explanation:
divided by 
is the same thing as multiplying by 
.
The equation we get is:
With this equation, we can factor each equation:
We can cancel out like terms since they would be dividing each other:
