Answer:
0.6844 = 68.44% probability that a drum meets the guarantee.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 101.8 pounds and a standard deviation of 3.76 pounds.
This means that 
What is the probability that a drum meets the guarantee?
Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So
has a p-value of 0.3156.
1 - 0.3156 = 0.6844
0.6844 = 68.44% probability that a drum meets the guarantee.
Take the linear coefients easy
11,-12, 7
5,12,-7
so
![\left[\begin{array}{ccc}11&-12&7\\5&12&-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%267%5C%5C5%2612%26-7%5Cend%7Barray%7D%5Cright%5D%20)
or you could do also
![\left[\begin{array}{ccc}11&-12\\5&12\end{array}\right] \left[\begin{array}{ccc}7\\-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%5C%5C5%2612%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%5C%5C-7%5Cend%7Barray%7D%5Cright%5D%20)
Answer:
The brother sold 33 subscriptions
The sister sold 19 subscriptions
Step-by-step explanation:
Let's represent the number is subscription as:
For the brother = a
For the sister = b
a + b =52
The sister sold 5 fewer than twice the number of her brother sold .
a= 2b - 5
Hence, substitute 2b - 5 for a I. The above equation.
a + b =52
2b - 5 + b = 52
3b = 52 + 5
3b = 57
b = 57/3
b = 19
a + b = 52
a + 19 = 52
a = 52 - 19
a = 33
Therefore,
the brother sold 33 subscriptions
the sister sold 19 subscriptions
Answer: B. y-1=2(x-3)
Step-by-step explanation:
First subtract both sides by 2x so it becomes -y=-2x-1
Second divide both sides by -1 so it becomes y=2x+1
After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x
Answer:
9 : 11 and 18 : 22
are each pair of Ratios equivalent?
Yes
Step-by-step explanation:
9 : 11
x2 x2
18 : 22
