P(x) = √x
for x = 0 → √0 = 0 and p(0) = 0
for x = 1.44 → √1.44 =1.2 and p(1.44) = 1.2
for x = 2.25 → √2.25 = 1.5 and p(2.25) = 1.5
for x = 3.24 → √3.24 = 1.8 and p(3.24) = 1.8
for x = 4.41 → √4.41= 2.1 and p(4.41) = 2.1
for x = 5.29 → √5.29 = 2.3 and p(5.29) = 2.3
Answer:
Larger angle: 80 degrees
Smaller angle: 10 degrees
Step-by-step explanation:
complementary angles = two angles that add up to 90 degrees
x = larger angle
x + x - 70 = 90 Add like terms
2x - 70 = 90 Add 70 on both sides
2x = 160 Isolate the variable by dividing 2 on both sides
x = 80
x = larger angle , 80 degrees
x - 70 = smaller angle , 10 degree
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Answer:
$16152.5
0
Step-by-step explanation:
Answer:
The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³
Step-by-step explanation:
Let x= the hippocampus volumes in the alcoholic adolescents
We'll conduct a hypothesis test at the 0.01 significance level with
Null hypothesis: x = 9.02 cm³
Alternate hypothesis: x < 9.02 cm³
A sample of 13 alcoholic adolescents gives the parameters
size=N= 13
mean=M= 8.12 cm³
standard deviation= s= 0.8 cm³
According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:
t=
where
- M is the sample mean (8.12)
- s is the standard deviation of the sample (0.8)
- N is the sample size (13)
If we put these numbers in the formula:
t=
=4.056
One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.
Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.
Answer:

Step-by-step explanation:

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.
Also, remove the parentheses
⇒
Collect like terms
⇒
⇒
Hope I helped!
Best regards!!