Answer:
5 is the mean
Step-by-step explanation:
Answer:
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
Given,
Total cost of maths book and novel = $54
Let,
Cost of maths book = m
Cost of novel = n
According to given statement;
m+n=54 Eqn 1
the price of the math textbook, m, is $8 more than 3 times the price of the novel
m = 3n+8 Eqn 2
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
<h3>
Answer: 30 inches</h3>
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Explanation:
x = unknown width
For this rectangle, there are 2 sides of length x, and 2 sides of length 17.
The perimeter is P = 2x+2*17 = 2x+34
Set this equal to the given perimeter (94) and solve for x.
2x+34 = 94
2x = 94-34
2x = 60
x = 60/2
x = 30
The TV is 30 inches wide
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:
Lets assume that 1200 births are randomly selected and exactly 595 of the births are girls.
In percentage this is : 
This is approx 50%. We can say that almost random 50% are girls.
So, It is unlikely because the probability of this particular outcome is very small, considering all of the other possible outcomes.
Part B: It is not unusual because 595 is about the number of girls expected.