If we have one zero of +5i, we also have to have its conjugate which is -5i. Therefore, the factors that we will FOIL to get that polynomial are (x+5i)(x-5i). That distribution results in
. I'm sure by now you know that i squared is equal to -1, so -25(-1) = 25. So our polynomial is
55% to 60%
The pattern of pellets within a 30-inch circle should be of a proper, even density to ensure a clean kill. The pattern should contain a sufficient percentage of the load, which should be at least 55% to 60%.
Answer:
You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Step-by-step explanation:
With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:
30 cups of orange juice → 18 cups of pineapple juice
1 cup of orange juice → x
x=(1*18)/30=0.6 cups of pineapple juice
According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Answer:
a) The test statistic is 
b) The pvalue is 0.0060.
Step-by-step explanation:
Question a:
Ha: pB < pNY
This means that the alternate hypothesis is rewritten as:
While the null hypothesis is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis and s is the standard error
pB = 0.581, pNY = 0.832
This means that 
0 is tested at the null hypothesis:
This means that 
Standard error = 0.1
This means that 
Test statistic:
The test statistic is
Question b:
The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.
Looking at the z-table, Z = -2.51 has a pvalue of 0.0060
The pvalue is 0.0060.
