It's saying that 95% of the time the comparison from test to retest is 96% reliable.
so I would take (0.95+0.96)÷2= 0.955
then 73×0.955=69.715
then 73-69.715=3.285
so I would range the possible true score between 69.715 and 76.285
also written as 73 ± 3.285
When a jogger runs south and then turns west, we have right angle between segment 0.8 mi and segment to the west. So it is legs of the right triangle.
1.7 mi is hypotenuse.
hypotenuse² =(leg1)²+(leg2)²
1.7²=0.8² + (leg2)²
(leg2)²=1.7²-0.8² = 2.25 mi²
leg2=√(2.25 mi²)
leg2=1.5 mi
Answer is 1.5 mi.
Subtract the mean from Jake's score:
520 - 500 = 20
Divide by the standard deviation:
20/60 = 0.33
Jake scored 0.33 standard deviation above the mean.
From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.
Round to 63%
Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.
2, 18
Write the factored form using these integers.
(x+2)(x+18)