Answer:
y=90(0.5)^x
The y-intercept is (0,90), so when x=0, y should be 90.
By replacing x=0 in all equations you get;
1)
y=90(2)^0 =90 accepted
2)
y=2(90)^0 =2 rejected
3)
y=0.5(90)^0 =0.5 rejected
4)
y=90(0.5)^0 =90 accepted
Since this is an exponential decrease,
y=90(2)^x is rejected.
Answer:
Step-by-step explanation:
√x - 7 = 3 {add 7 to bothe sides}
√x - 7 + 7 = 3 + 7
√x + 0 = 10
√x = 10
Square both sides,
(√x)² = 10²
x = 100
Answer: 1.48
Step-by-step explanation:
From binomial distribution, the formula to find the standard deviation is given by :-
, where n is the sample size and p is the proportion of success.
Given : The percent of chance that a candle is defective. If the company selected 50 candles off the line : 4.6%
i.e. The proportion of success : p=0.046
Sample size : n=50
Then, Standard deviation = ![\sigma=\sqrt{50(0.046)(1-0.046)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B50%280.046%29%281-0.046%29%7D)
![\sigma=1.48128322748\approx1.48](https://tex.z-dn.net/?f=%5Csigma%3D1.48128322748%5Capprox1.48)
Hence, the standard deviation of the number of defective candles in the group=1.48
Answer:231/100
Step-by-step explanation: