Answer:
<h3>consistent independent</h3>
<h2>Explanation:-</h2><h3>The system of linear equations {3x−y=2y=3x+2 describes
<em><u>consistent </u></em><em><u>independent </u></em><em><u>.</u></em></h3>
<h3>Hope it is helpful to you </h3><h3>stay safe healthy and happy ☺️</h3>
Step-by-step explanation:
First I do it as separate equations 2x-7=0 and 5x+3=0. In this equation you get two answers so you first answer 2x-7=0
2x-7=0
+7 +7
2x=7
/2 /2
x=7/2
Then do 5x+3=0
-3 -3
5x=-3
/5 /5
x= -3/5
Then you can check by putting them back in.
Answer:
1) <2 ; 60
2) <3 ; 60
3) <4 and <3. <4 = 120 and <3 = 60
4) <1, <3, and <4 = 125. <2 = 55
Step-by-step explanation:
1)
Corresponding angles are equal
2)
Alternate interior angles are equal
3)
<4 and <3 are same-side interior angles. This makes them supplementary angles
<4 = 120
<3 = 60
4)
<1 = <4 = <3. All of these angles equal 125.
<2 + <1 = 180
<2 + 125 = 180
<2 = 55
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.