We have that the sum of all the different prime factors of 364,000
Y=27
From the question we are told that
prime factors of 364,000
Generally
Prime factors can simply be defined as prime numbers that can be multiplied to equal the initial number.
Therefore the all the different prime factors of 364,000 are
X=2, 5, 7, 13
Therefore the sum of all the different prime factors of 364,000
Y=2+5+7+13
Y=27
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Cube root of any value x means the power of or exponent of 1/3 of x.
X^1/3
if you square it,
the power of a power is multiplied according to exponent laws.
Hence,
===> (X^1/3)^2
= X^2/3
Now,
Square root of any value x means the power of or exponent of 1/2 of x.
X^1/2
if you cube it,
the power of a power is multiplied according to exponent laws.
<span>Hence,
</span>===> <span>(X^1/2)^3
</span> <span>= X^3/2
Hope it helps</span>
If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.
Answer:
the probability that the woman is taller than the man is 0.1423
Step-by-step explanation:
Given that :
the men's heights are normally distributed with mean 
68
standard deviation 
= 3.1
And
the women's heights are normally distributed with mean 65
standard deviation = 2.8
We are to find the probability that the woman is taller than the man.
For woman now:
mean = 65
standard deviation = 2.8
![\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]](https://tex.z-dn.net/?f=%5C%5C%201%20-p%20%20%5C%20P%5B%28x%20-%20%5Cmu%20%29%20%2F%20%5Csigma%20%3C%20%2868-25%29%2F%202.8%5D)
= 1-P (z , 1.07)
Using z table,
= 1 - 0.8577
= 0.1423
Thus, the probability that the woman is taller than the man is 0.1423
Answer:
1. 73
2.-63
Step-by-step explanation:
1. 30+43=73
2. -84+21= 21-84=-63
