Answer:
sin(4)
Step-by-step explanation:
sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.
Answer:
Step-by-step explanation:
Given
Required
Find the height
The volume is calculated as thus:
This gives
Apply difference of two squares
Subtract 15 from both sides
Using a calculator to factorize, we have:
Split
or 
or
x has complex roots for
Hence:
Recall that:
Answer:
3 dimes
Step-by-step explanation:
Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Change into an improper fraction. 2247/10 then divide. So, 224.7. Or since you know 7/10 is 0.7 just add 224
Answer: the incubation time that separates the bottom 2.5% from the rest of the incubation times is 24.96 days.
Step-by-step explanation:
Suppose the incubation times are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = incubation times.
µ = mean time
σ = standard deviation
From the information given,
µ = 23 days
σ = 1 day
The probability value for the incubation time that separates the bottom 2.5% from the rest of the incubation times would be (1 - 2.5/100) = (1 - 0.025) = 0.975
Looking at the normal distribution table, the z score corresponding to the probability value is 1.96
Therefore,
1.96 = (x - 23)/1
x = 1.96 + 23
x = 24.96
