Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.
<h3>Calculating the mean.</h3>
Based on the information given, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
= 0 + 0.25 + 0.25
= 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
= ✓0.4899
= 0.699
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Answer:
6.25
Step-by-step explanation:
Answer:
2 bags
Step-by-step explanation:
Let the number of bags be b.
Let the number of candies in each bag be c.
The number of bags was 9 less than the number of candies in each bag. That is:
b = c - 9
She bought 22 candies.
This means that The number of candy in each bag multiplied by the numbe of each bag is 22:
b * c = 22
bc = 22
=> (c - 9) * c = 22
Since the number of candies can only be a positive number, c = 11.
Therefore:
b = 11 - 9
b = 2
Katy bought 2 bags of candy containing 11 candies each.
Okay, so lets look at the right triangle portion of the question. We can use the trigonometric ratios in order to find side a, which is opposite of the 32 degree angle.
We have three options, SOH CAH and TOA.
We will use SOH, or sine opposite over hypotenuse because we are trying to find the opposite side and we have the hypotenuse length.
So we set it up as Sin(32) = X/17. Multiple both sides by 17 to solve for X
You end up with X = 9 cm (when rounded)
Meaning that the measure of side a is about 9 cm