Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;
For the case given, the z score will be;
Answer:
75%
Step-by-step explanation:
we know that 60% of x is 120. we can rewrite this to .6x = 120, to get x we divide both sides by .6, so x = 200. now 120 + 30 = 150. then we divide 150 out of 200 which is .75 it 75%
<u>Set up an equation based on the information given</u>
<u>Combine like terms</u>
<u>Solve</u>
Answer
The width of the rectangular field is 75 yards.
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...
(14%)x +(9%)(5000 -x) = 460
0.05x +450 = 460 . . . . . . . . . . simplify
0.05x = 10 . . . . . . . . . . . . . . subtract 450
x = 200 . . . . . . . . . . . . . . divide by 0.05
5000-x = 5000-200 = 4800
$200 was invested at 14%; $4800 was invested at 9%.
Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.
