Answer:
m=-15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. m=-15
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.
Answer:
The answer is 30
Step-by-step explanation:
First you have to find 120% of a (12).
![\frac{12}{1} \times \frac{120}{100} = 14.4](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B1%7D%20%20%5Ctimes%20%20%5Cfrac%7B120%7D%7B100%7D%20%20%3D%2014.4)
Therefore; 14.4 is 80% of b, and we are trying to find 100% of b
![14.4 = 80\% \\ x = 100\%](https://tex.z-dn.net/?f=14.4%20%3D%2080%5C%25%20%5C%5C%20x%20%3D%20100%5C%25)
we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.
![14.4 \times 100\% = 80\% \times x](https://tex.z-dn.net/?f=14.4%20%5Ctimes%20100%5C%25%20%3D%2080%5C%25%20%5Ctimes%20x)
This is the same as saying;
![14.4 \times 1 = x \times \frac{4}{5}](https://tex.z-dn.net/?f=14.4%20%20%5Ctimes%201%20%3D%20x%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B5%7D%20)
100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).
so the new equation is: 14.4= 4/5x
We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so.<em> </em><em>1</em><em>8</em><em>+</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>30</em>
Answer:
Step-by-step explanation:
(5-4)/2 = 1/2
(2-3)/2 = -1/2
(1/2, -1/2)
Answer:
10
Step-by-step explanation:
here the range are (2,4,6,8,10)
and the value of the greatest element in the range is 10.