Answer:
Step-by-step explanation:
To rationalize the denominator, all you have to do is multiply the top and bottom by √6:
You can further simplify by dividing the top and bottom by 3:
I hope this helped.
To solve this, we need to use the z test. The formula for
z score is:
z = (x – u) / s
where x is sample value = 141.4 mm and above, u is mean
value = 140 mm, s is standard dev = 8 mm.
z = (141.4 – 140) / 8
z = 0.175
From the standard probability tables, the p value at z =
0.175 using right tailed test is:
P = 0.4306
Answer:
After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Step-by-step explanation:
Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:
(910 x 0.041) x 2.5 = X
37.31 x 2.5 = X
93.275 = X
Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
X = amount of 90% alloy
y = amount of 70% alloy
x + y = 60
0.9x + 0.7y = 0.85*60
0.9x + 0.7(60 - x) = 0.85*60
(0.9 - 0.7)x = (0.85 - 0.7)*60
x = (0.85 - 0.7)*60/(0.9 - 0.7)
x = 45 ounces
y = 60 - 45
y = 15 ounces