Answer:
step 1. Angle bisector theorem.
step 2. 14/6 = 21/ (3x - 12)
step 3. 14(3x - 12) =21(6)
step 4. 6x - 24 = 18
step 5. 6x = 42
step 6. x = 7.
Answer: 42 cm3
Step-by-step explanation:
Answer:
This decision is not statistically significant .
Step-by-step explanation:
Hypothesis testing is set up so that you can prove a null hypothesis. Therefore, when you do not find evidence against the null hypothesis, you fail to reject the null hypothesis or the result is not statistically significant.
15. MP(5,11) S(3,5) M(x,y)
(3+x)/2 = 5 x=7
(5+y)/2 =-11 y=-27
M(7,-27) is the other point
Answer:
Step-by-step explanation:
From the given information:
the mean
= 2300
Standard deviation =
Standard deviation (SD) = 214.4761
TO find:
a)
From the Z-table, since 5.595 is > 3.999
P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean
= 0.25
Replacement time for the Standard deviation
For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation =
=
=
=
=
= 214.482
Now; the required probability:
From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001