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.
Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:
X = 36:
Z = 1.83
Z = 1.83 has a p-value of 0.9664.
X = 31:
Z = -2.33
Z = -2.33 has a p-value of 0.0099.
0.9664 - 0.0099 = 0.9565.
0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.
More can be learned about the normal distribution at brainly.com/question/24537145
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Answer:
y-intercept: 11
which means the baby weighs 11 lb when it is born (t=0).
Step-by-step explanation:
Scale factor:
10/4= 2.5
X = 5 x 2.5 = 12.5
Y= 8/ 2.5 = 3.2
Z= 15/2.5 = 5
