20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a sta
1 answer:
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
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Answer:
x = 1 or x = -1
Step-by-step explanation:
Given equation:
Factor out -1:
Divide both sides by -1:
Rearrange the terms:
Factor the first two terms and the last two terms separately:
Factor out the common term :
<u>Zero Product Property</u>: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):
Therefore, the solutions to the given equation are: x = 1 or x = -1
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