I believe the answer is 3
Answer:
Step-by-step explanation:
Step 1: Find the total fraction of raisins he gave to his brothers
=
Step 2: Find the lowest common multiple(Lcm) of 6 and 4
Lcm of 6 and 4 = 12
Step 3: Add the fractions
= ![\frac{2+ 3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B%203%7D%7B12%7D)
= ![\frac{5}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D)
Step 4: To find the fraction that he kept, you will subtract the total fractions he gave his brothers from 1.
![1 - \frac{5}{12} \\= \frac{12-5}{12} \\= \frac{7}{12}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B5%7D%7B12%7D%20%5C%5C%3D%20%5Cfrac%7B12-5%7D%7B12%7D%20%5C%5C%3D%20%5Cfrac%7B7%7D%7B12%7D)
Final answer
The fraction that he kept = ![\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D)
Answer:
Step-by-step explanation:
y = 5x + 4
-5x + y = 4 ----------------------(i)
3x + 2y = 20 --------------------(ii)
Multiply equation (i) by (-2)
(i)* (-2) 10x - 2y = -8
(ii) <u>3x + 2y = 20</u> { Now add this two equations}
13x = 12 { -2y and 2y got eliminated}
x = 12/13
Plug in value of x in (i)
-5*12/13 + y = 4
-60/13 + y = 4
y = 4 + 60/13
![y=\frac{4*13}{1*13}+\frac{60}{13}\\\\=\frac{52}{13}+\frac{60}{13}\\\\=\frac{112}{13}\\\\=8\frac{8}{13}y=](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%2A13%7D%7B1%2A13%7D%2B%5Cfrac%7B60%7D%7B13%7D%5C%5C%5C%5C%3D%5Cfrac%7B52%7D%7B13%7D%2B%5Cfrac%7B60%7D%7B13%7D%5C%5C%5C%5C%3D%5Cfrac%7B112%7D%7B13%7D%5C%5C%5C%5C%3D8%5Cfrac%7B8%7D%7B13%7Dy%3D)
Answer:
There is no enough evidence to claim that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
Step-by-step explanation:
The question is incomplete: the table is attached as picture.
The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.
As result from the test we have a t-statistic with a value t=-1.37631.
We don't know the significance level, but we know that the critical value that separates the acceptance region from the rejection region is tc=-1.70113.
To be the difference between means statistically lower than 0, the t-statistic should be lower than the critical value.
![t=-1.307631\\\\t_c=-1.70113\\\\t>t_c](https://tex.z-dn.net/?f=t%3D-1.307631%5C%5C%5C%5Ct_c%3D-1.70113%5C%5C%5C%5Ct%3Et_c)
This is not the case, so the null hypothesis failed to be rejected.
There is no enough evidence to claim that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.