Answer: the normal curve can be used as an approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112
Step-by-step explanation:
for a binomial experiment to be approximated to normal distribution, the following conditions must be present:
i. sample size must be large, in this case sample size is 112
ii. the mean must be equal to np,where n is sample size and p is probability of success
iii. the standard deviation must be equal to npq,where q is the probability of failure
37 and 29 won't work because these numbers are prime numbers, which can't be divided equally. This problem is basically saying which one of these are prime numbers.
Answer:x<-7
Step-by-step explanation:
3x -15x - 30 > 54
-12x-30>54
-12x<54+30
I moved 30 from left side to right which becomes positive and > becomes <
-12x<84
-12x/-12<84/-12 I used my calculator to do this
x<-7
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
================================
Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
If from the negative to the positive side, count how many dots are in between and add together. So it is 6 units apart or 6 dots apart.