Answer:
Null hypothesis = 
Alternate hypothesis =
Step-by-step explanation:
Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.
The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
To Find : Determine the null and alternative hypotheses.
Solution:
In a recent semester, the proportion who earned a bachelor's degree within six years was<u> 0.395. </u>
Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>
So,null hypothesis = 
Alternate hypothesis =
Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps, i remember doing this lesson.
Answer:
x = -0.69
Step-by-step explanation:
We can get this by writing the equation in the logarithmic form to base e
We have this as;
log e 0.5 = x
x = ln 0.5
x = -0.69315
To two decimal places, this is -0.69
Answer:
when you multiply a whole number by itself it will obviously get bigger.
4 to the 2nd power equals 16 because 4x4 = 16
if you were to multiply a smaller number though, it wouldn't get as big.
Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.
ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.
Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.
1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.
To solve, simplify by expanding then isolate x.
-8 = -( x +4)
-8 = -1 ( x +4) Distribute over brackets by changing the each term's sign
-8 = -x - 4 Start isolating x by moving everything to the other side
-8 +4 = -x -4 + 4 Add 4 to both sides so it cancels out on the right
-4 = -x
-4 = -1x <= -x is the same at -1x
-4/-1 = -x/-1 <=divide both sides by negative 1
4 = x
x = 4 <= usually we write the variable on the left side