Answer:
C
Step-by-step explanation:
We have the system of equations:
And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:
Evaluate:
Evaluate:
So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:
Evaluate:
So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
Answer:
Im pretty sure that it would be a 1 out of 52, so go with D.
Answer:
a = -3.5
Explanation:
2 - 4a = 16
-4a = 14
a = -3.5
The answer would be rotation
Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean 
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,
The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,
Where, 
is standard deviation
Substitute the values,
The standard deviation of weight for this species of cockroaches is 4.62.
