Answer:
481
Step-by-step explanation:
Answer:
5/8 of an inch
Step-by-step explanation:
<span>harmaenderp Ambitious</span>First, to find out the number of students who scored below Amanda, we must find the z-score value of Amanda's score using the formula below.
where Z is the z-score, Χ is the expected average value, μ is the mean of Χ, and δ is the standard deviation. Thus, we have
Thus, using the z-table, we have P(Z<0.90) = 0.8159. Since we have wanted to find the number of students who scored below Amanda, then from the whole, we have (1 - 0.8159) = 0.1841. That means, out of 1000 students, 0.1841 of them scored below Amanda. Thus, we have (0.184)(1000) = 184.
<span>Answer: 184 students</span>
Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ± 
= ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ± 
= ± 7
Solutions are x = - 7, x = 7
