To respond effectively, one would need a table showing the number of males and females who prefer pink or yellow lemonade at the state fair. Male preferences are captured as Pink Lemonade: 156, Yellow Lemonade: 104, totaling 260. Female preferences recorded as Pink Lemonade: 72, Yellow Lemonade: 48, totaling 120. Overall, totaling: Pink Lemonade: 228, Yellow Lemonade: 152, 380 in sum. P(pink lemonade | female) is computed as 72/(72+48) = 72/120 = 0.6. P(pink lemonade) is calculated as (156+72)/(260+120) = 228/380 = 0.6. Consequently, the events of preferring pink lemonade and being female are independent given P(pink lemonade | female) equals P(pink lemonade) which both equal 0.6.
The answer is 4/3, which represents the rate of change. Going up 3 and moving over 4.
Answer:
When x = 72, the z score is:
The average is 58
This z-score indicates that x= 72 is 1.273 standard deviations above the mean.
Step-by-step explanation:
Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.
Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is
In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:
The formula for the z score is as follows:
By substituting values, we derive:
The mean is 58
This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.
The likelihood she will miss on her first attempt is 52.17%.
Having no profit indicates that P(x)=0: x³-4x²+3x-12=0
factor this by regrouping: x²(x-4)+3(x-4)=0
extract (x-4): (x-4)(x²+3)=0
thus, x=4 or x²=-3
since x² cannot be negative, the only viable solution is x=4.
