Answer:
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Step-by-step explanation:
Formula for slope of a line is
a) (15,30) and (20,40).
Similarly find the slope of other lines.
b) (12,32) and (18,48).
c) (27,12) and (72,32).
d) (45,15) and (60,20).
e) (27,2) and (243,18).
f) (18,63) and (24,84).
g) (63,9) and (84,12).
After arranging the slopes in increasing order, we get
So, required arrangement of ordered pairs is
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Answer:
1. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with .
For the binomial distribution, the parameters are given as follows:
n = 100, p = 0.5.
Hence the mean and the standard deviation of the approximation are given as follows:
- .
Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.
Z = 3.3
Z = 3.3 has a p-value of 0.9995.
1 - 0.9995 = 0.0005.
0.0005 = 0.05%
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
Answer:
speed and direction of the object in motion