Answer:
3
Step-by-step explanation:
x=12
12/4 + 6(12-12)
12/4 +6(0)
12/4 + 0
3+0
3
Answer:
17 kilometers
Step-by-step explanation:
The pythagorean theorm is a^2 + b^2 = c^2
In this problem we can call 8 km a and 15 km b.
Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2
This will give you 289=c^2
Take the square root of both sides to get c=17
Hope this helps!
Answer:
(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.
Step-by-step explanation:
Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.
Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.
Test statistic (t) = (sample mean - population mean) ÷ sd/√n
sample mean = 3.24 minutes
population mean = 3.3 minutes
sd = 0.4 minutes
n = 62
degree of freedom = n - 1 = 62 - 1 = 71
significance level = 0.08
t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2
The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654
Conclusion:
Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.
Since Y is the centroid then the larger piece of the median is 2 times that of the smaller piece
10 = 2*(2x - 3)
10 = 4x - 6
16 = 4x
x = 4
Answer:
y = -2x - 2
Step-by-step explanation:
Slope intercept form of equation is y = mx + c
c is intercept and m is slope
given that slope is -2
m = -2
thus, equation in slope intercept will be
y = -2x + c
The given line passes through (-1,0)
y = -2x + c
lets substitute y = 0 and x = -1 in the given equation
0 = -2*-1 + c
0 = 2 + c
c = -2
Thus, the complete slope intercept equation after using the value of c as -2
we have
y = -2x - 2 answer