Step-by-step explanation:
y = 5x - 2…Equation 1
3x - 5y = 4…Equation 2
Subtitute value of y to Equation 2 :
3x - 5(5x - 2) = 4
3x - 25x + 10 = 4
-22x + 10 = 4
10 - 4 = 22x
6 = 22x
6/22 = x
<u>3/11 = </u><u>x</u>
Subtitute value of x to one of Equation :
for example Equation 2…
3x - 5y = 4
3(3/11) - 5y = 4
9/11 - 5y = 4
9/11 - 4 = 5y
(9 - 44)/11 = 5y
(-35)/11 = 5y
(-35)/11 × 1/5 = y
<u>-7/11 = y</u>
B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of
those planes are (2,1,5) and (2,0,5), cross product will give the
parallel vector, divide by its length so it gives the unit vector
Answer:
Upper confidence level (UCL) = 29367.875
Lower confidence level (LCL) =23061.064
Step-by-step explanation:
Given : sample mean=26214.47
sample standard deviation=5969.25
sample size=15
degree of freedom=14
t critical value for 94% confidence with 14 degree of freedom=2.046
To Find : Upper confidence level (UCL) =?Lower confidence level (LCL) =?
Solution:
Formula for confidence interval =
sample mean= =26214.47
sample standard deviation = s =5969.25
sample size = n =15
t critical value for 94% confidence with 14 degree of freedom =2.046
Substitute the values in the formula :
confidence interval =
confidence interval = to
confidence interval = to
Hence Upper confidence level (UCL) = 29367.875 and Lower confidence level (LCL) =23061.064
Answer:
Step-by-step explanation:
let -2/3 be the rational number and 9 be the positive real number
according to the given of indices this tis can be written as
1/3^4/3
notice, we didn't use the negative value, valid though as it is, because in this case "a" can't be negative.