You meant "bought 3/4 lb cheese?"
Half of 3/4 lb is 3/8 lb. Can y ou show this mathematically?
Answer:
-35
Step-by-step explanation:
15(x-7) + 4 = 10(x-7) +4
15x + 105 + 4 = 10x -70 + 4
15x + 109 = 10x - 66
-10x + 109 = -66
5x+ 109 = -66
-109 = -109
5x = -175
divide -175 by 5
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Assume the first integer is
![x](https://tex.z-dn.net/?f=x)
.
then we have the sequence for the 6 numbers:
![x,x+1,x+2,x+3,x+4,x+5](https://tex.z-dn.net/?f=x%2Cx%2B1%2Cx%2B2%2Cx%2B3%2Cx%2B4%2Cx%2B5)
their sum equals 519. so we have the equation
![(x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=519](https://tex.z-dn.net/?f=%28x%29%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29%2B%28x%2B4%29%2B%28x%2B5%29%3D519)
now solve it.
![6x+15=519](https://tex.z-dn.net/?f=6x%2B15%3D519)
![6x=504](https://tex.z-dn.net/?f=6x%3D504)
![x=84](https://tex.z-dn.net/?f=x%3D84)
now that we know the value of
![x](https://tex.z-dn.net/?f=x)
, we can find the sequence of the integers: