Answer:
0.407
Step-by-step explanation:
<u>0. 4 0 7</u>
2 0 /8. 1 4 0
−<u> 0</u>
8 1
<u>− 8 0 </u>
1 4
<u> − 0 </u>
1 4 0
−<u> 1 4 0</u>
0
Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
Answer:
0 +256i
Step-by-step explanation:
According to Euler's formula, ...
(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i
_____
"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.
Answer:
1). 24
2). 8
Explanation:
1).
285$ - 45$ = 240$
240$/10 = 24$
Therefore, he pays 24$ a month.
2).
Let x be the number than triple:
3x - 5 = 19
3x = 19 + 5
3x = 24
x = 24/3
x = 8
