Answer:
x=20, y=17, and z=6 or (20,17,6)
Step-by-step explanation:
Hi there!
We're given the system of equations:
2x+z=46
3z=18
2y+z=40
and we need to solve for x, y, and z
first, let's find the value of z, as we have z by itself (no other variables) in 3z=18
divide both sides by z
z=6
the value of z is found :)
now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x
2x+6=46
subtract 6 from both sides
2x=40
divide by 2
x=20
Finally, let's find y
once again, we can substitute z as 6 in the equation 2y+z=40 to find y
2y+6=40
subtract 6 from both sides
2y=34
divide by 2
y=17
so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)
Hope this helps! :)
Answer: No, the means in the two studies significantly is not different at the 95% confidence level.
Step-by-step explanation:
Since we have given that
Study 1,
Mean = 30.8,
Standard Deviation = 6.2,
Sample size = 100
And
Study 2
Mean = 32.2,
Standard Deviation = 5.4,
Sample size = 200
So, Hypothesis would be
So, At 95% confidence level, z = 1.96
So, the test statistic value would be
Since 1.96>-1.9228
So, we will accept the null hypothesis.
Hence,No, the means in the two studies significantly is not different at the 95% confidence level.
B! cosine is adjacent over hypotenuse
The slope is -3/5.
The equation is in slope intercept form,
y= mx + b, where m is the slope.
Okay from what I know that equation would basically be over one, on L'hopital's rule you take the derivative of the numerator and denominator to find the limit, if you take the derivative of 1 then you get 0 and the limit couldnt exist, so in this problem the limit does not exist :) <span />