Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
4x+y=17;4x−3y=−3
Step: Solve4x+y=17for y:
4x+y+−4x=17+−4x(Add -4x to both sides)
y=−4x+17
Step: Substitute−4x+17foryin4x−3y=−3:
4x−3y=−3
4x−3(−4x+17)=−3
16x−51=−3(Simplify both sides of the equation)
16x−51+51=−3+51(Add 51 to both sides)
16x=48
16/x = 48/16
(Divide both sides by 16)
x=3
Step: Substitute 3 for x in y=−4x+17:
y=−4x+17
y=(−4)(3)+17
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Answer: The building would be 11 inches wide
Step-by-step explanation:
an angle that forms a linear pair with one of the interior angles of the trinagle.(Apex)
Answer:
Step-by-step explanation:
Answer:
90% confidence interval for the mean blood pressure of all executives is 123.12 to 129.02.
The closest option is A
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 126.07
sd = 15
n = 72
degree of freedom = n - 1 = 72 - 1 = 71
Confidence level (C) = 90% = 0.9
Significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
t-value corresponding to 71 degrees of freedom and 10% significance level is 1.6667
E = t×sd/√n = 1.6667×15/√72 = 2.95
Lower limit = mean - E = 126.07 - 2.95 = 123.12
Upper limit = mean + E = 126.07 + 2.95 = 129.02
90% confidence interval for the mean blood pressure of all executives is between a lower limit of 123.12 and an upper limit of 129.02.