FOIL
(9q^2)-(6q)-(6q)+4
9q^2 -12q +4
Answer:
Excel attached with the solution.
Step-by-step explanation:
Mean

Standard deviation

Confidence interval

The formulas used are in the Excel file attached.
Answer:
The answer is 1.
Step-by-step explanation:
Plug in the values to make the equation -3+4*2/2
According to the order of operations, you should multiply what you can first.
so 4*2 = 8
Then 8 divided by 2 = 8/2=4
Then -3+4=1
For the pancake recipe, the results of the conversion of all the ingredients of the recipe to use exactly 3/4 cup of milk is:
- Milk = 3/4 cup
- Flour = 1 cup
- Baking powder = 1 tablespoon
- Salt = 0.5 teaspoons
- Eggs = 1
- Blueberries = 0.62 cups
- Servings = 3
To convert the recipe to use exactly 3/4 cup of milk, we need to convert all the ingredients units. We can start with the cups of flour.
Initially, we had the following amount of milk:
Before we needed 2 cups of flour for 1 1/2 cups of milk, now for 3/4 cups of milk we need the following cups of flour:

We can convert the other ingredients with this amount of cup of milk.
<u>Tablespoons baking powder</u>
Hence, we need to use now 1 tablespoon of baking powder.
<u>Teaspoon salt </u>
Therefore, we need now 0.5 teaspoons of salt.
<u>Eggs</u>
Then, we need 1 egg.
<u>Cups blueberries</u>
Therefore, 0.62 cups of blueberries are needed now.
The new amount of serving (s) is:

Hence, for 3/4 cup of milk we can make now 3 servings.
You can find more about the conversion factor here:
I hope it helps you!
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

Therefore, the probability of -2 is 0.33.