<span> The product of two perfect squares is a perfect square.
Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
Answer: only (x-y=4) and (x+y=4).
Step-by-step explanation:
Notice target point has y=0, so all terms with y are zero. Then all 6 equations reduce to m x = k, for various m and k. So calculate 4×m and compare to k six times.
x - y = 4 4=4 yes
-x - y = 4 -4=4 no
2x - y = 7 8=7 no
x + y = 4 4=4 yes
2x + y = 7 8=7 no
2x + y = -7 8=-7 no.
Answer:
its 7/3 or you could put 2 1/3
Step-by-step explanation:
Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for instead of that of 
is because represents the area under the normal curve where the confidence level 1 - (90%) did not cover which include both the left and right tail while is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as
substituting values
The 90% confidence level interval is mathematically represented as
substituting values
