Answer:
72.83
Step-by-step explanation:
61²+x²=95²
3721+x²=9025
x²=<u> </u><u>530</u><u>4</u>
<u>x</u><u>=</u><u> </u><u>72.83</u>
Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of
. So we have T = 2.797.
For the average to be 90,
(99 + 93 + x) / 3 = 90
or 192 + x = 270
or x = 270 - 192 = 78
Jim must score at least 78 in the third test.
Equation: SOLVE
Solution for 10=4(x-1)-(x-8) equation:
Simplifying
10 = 4(x + -1) + -1(x + -8)
Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)
Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)
Reorder the terms:
10 = -4 + 8 + 4x + -1x
Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x
Combine like terms: 4x + -1x = 3x
10 = 4 + 3x
Solving
10 = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4
Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10
Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10
Combine like terms: 4 + -10 = -6
-3x = -6
Divide each side by '-3'.
x = 2
Simplifying
x = 2
Its $13.79..... hopefully it helps