Answer:
30500 = 3.05·10^4
Step-by-step explanation:
Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.
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This can be computed by converting both numbers to standard form:
(5·10^2) +(3·10^4)
= 500 +30000 = 30500 = 3.05·10^4
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Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.
5·10^2 + 3·10^4
= 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4
= (0.05 +3)·10^4
= 3.05·10^4
Answer:
- a. E = {1, 2, 3, 4, 5, 6, 7, 8}
- b. A ∩ B = {2, 3}
- c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
Locate the designated space on the diagram and list all the numbers in it.
a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle
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b. A ∩ B = {2, 3} . . . . where the circles overlap
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c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles
Answer:
The 38th term of 459,450,441,.. will be:

Step-by-step explanation:
Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

so

The first element of the sequence is

so the nth term will be


Putting n=38 to find the 38th term




Therefore, the 38th term of 459,450,441,.. will be:

Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5