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2 answers:
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Given the exponential function:
The starting point is found when x = 0.
So, let's substitute x by 0.
Answer: The starting point is (0, 1.004).
Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
<u><em>Let X = Math scores on the SAT exam</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean score = 514
= standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X 455)
P(X < 573) = P( <
) = P(Z < 0.50) = 0.69146
P(X 2.9) = P(
) = P(Z
-0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.
Answer:
Step-by-step explanation:
Given that there are 3 sets such that there are 100 elements in A1, 1000 in A2, and 10,000 in A3
a) If A1 ⊆ A2 and A2 ⊆ A3
then union will contain the same number of elements as that of A3
i.e.
b) If the sets are pairwise disjoint.
union will contain the sum of elements of each set
c) If there are two elements common to each pair of sets and one element in all three sets
We subtract common elements pairwise and add common element in 3
i.e.