Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
I'm assuming that the 1/3 is an exponent.
If so, then
![2^{1/3} = \sqrt[3]{2}](https://tex.z-dn.net/?f=2%5E%7B1%2F3%7D%20%3D%20%5Csqrt%5B3%5D%7B2%7D)
Which is the cube root of 2. Raising any value to the 1/3 power is the same as taking the cube root.
ok. We are given the following equation:

Where:

Since we are asked to determine "H" we will solve for "H" in the equation. To do that we will first multiply both sides by -1:

Now, we will use the following property of logarithms:

Applying the property and having into account that:

We get:

Now we substitute the given value of "pH = 4.5":

Solving the operation:

Therefore, the hydrogen ion concentration of the fluid is 0.000032
Answer:
b. 4/9
Step-by-step explanation:
The probability of selecting either two white or blue tiles and square and round tile is 4. The two white tiles could either be square and round, square, round, or the white tiles could be either square and round, round or square. Each tile has four possible outcomes blue,white, square,round.
We subtract 36-9 which equals 27