Answer:
(a) 0.85
(b) 0.7225
Step-by-step explanation:
(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:
The proportion is 0.85.
(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:
An estimate of 0.7225 for the proportion of all such systems that will function properly.
The question is incomplete, the complete question is;
Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table shows their data. Note that the 0 in the "Bounce " column represents the starting height. To what family does the function belong? Explain how you know. b. Show the data as a sequence. Is the sequence arithmetic, geometric, quadratic, or something else? Justify your answer.
Bounce Rebound Height 0 800 cm 1 475 cm 2 290 cm 3 175 cm 4 100 cm 5 60 cm
Answer:
exponential
Geometric
Step-by-step explanation:
We have to test the data to know where it falls in. Let us just take three data points for our test.
To test if it is AP;
475 - 800 = -325
290 - 475 = 185
It is not an AP
Let us test if it is exponential with three data points
475/800 = 0.6
290/475 = 0.6
It is exponential hence we can write;
t(n) = 800(0.6)^n-1
Since a common difference that can always be approximated to 0.6 is obtained throughout, the sequence is geometric.
Answer:
Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴
Answer:
54 Students
Step-by-step explanation:
9% in decimal form is 0.09
Multiply 0.09 by 600
0.09×600=54
P' = (-1, 8) (the x coordinate stays the same and the y coordinate = (distance between -4 and 2) + 2 = 6+2 = 8).
using the same process:-
Q' = (4, 8)
R' = (8, 5)
S' = (3, 5)
