Answer:
After simplifying we get (x,y) as (1,3).
Step-by-step explanation:
Given:
,
We need to use elimination method to solve the and simplify the equations.
Solution;
Let ⇒ equation 1
Also Let 
⇒ equation 2
Now by solving the equation we get;
first we will Add equation 2 from equation 1 we get;
Now Dividing both side by 5 using division property of equality we get;
Now Substituting the vale of x in equation 1 we get;
subtracting both side by 1 using subtraction property of equality we get;
Now Dividing both side by 7 using division property of equality we get;
Hence we can say that, After simplifying we get (x,y) as (1,3).
Answer:
(Abbys slope 2/3) (Brandons slope 2/3) Abby is correct both triangles have the same slope.
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
Answer:
a = 33.32
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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
P(32 < x < a) = .0590
This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.
X = 32
has a pvalue of 0.1587
X = a
p - 0.1587 = 0.0590
p = 0.0590 + 0.1587
p = 0.2177
So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.
So a = 33.32
The correct answer is x= -1 or -3
