2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13
The number is 13
Answer: Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. JoAnn’s team collects a total of 654 magazines.
Answer:
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Step-by-step explanation:
Here n= 20
Sample mean GPA = x`= 2.84
Standard mean GPA = u= 2.55
Standard deviation = s= 0.45.
Level of Significance.= ∝ = 0.01
The hypothesis are formulated as
H0: u1=u2 i.e the GPA of night students is same as the mean GPA of day students
against the claim
Ha: u1≠u2
i.e the GPA of night students is different from the mea GPA of day students
For two tailed test the critical value is z ≥ z∝/2= ± 2.58
The test statistic
Z= x`-u/s/√n
z= 2.84-2.55/0.45/√20
z= 0.1441
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Substitute the values of A = 3 and B = -4 to the expression:
Solution:
we have been asked to find the true statement about the exterior angle from the given statements.
As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle.
The pair lies on the same straight line and makes a pair.
Hence we can say that it is formed by a linear pair with one of the interior angles of the triangle.
Hence the correct option is D.
