Step-by-step explanation:
By substitution method
6x+3(2x)=12
6x+6x =12
12x=12
x=1
y=2x
y=2*1
y=2
Answer:
4900 Litres
Step-by-step explanation:
First we need a common demoninator:
3/7=15/35
Then we subtract the two to figure out how much 420 Litres is:
15/35-12/35=3/35
3/35=420 litres
Divide amount by the numerater for thow much 1/x is.
1/35=140
and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.
140 x 35 = 4900
Answer:
x = 63.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:

Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.




So x = 63.6
Answer:
The county will plan to process 6000 prisoners per year.
Step-by-step explanation:
The holding area at the new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, a
We will multiply the effective capacity by 80%.
Hence, the county will plan to process 6000 prisoners per year.
Answer:
12m-18-3m=2m+m-18
9m-18= 3m-18
9m-3m=18-18
6m=0
m=0/6=0
Step-by-step explanation: