tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree
1 answer:
The shortest possible height of tower is 24 cm.
Tim used 4 blue blocks and his brother used 3 green blocks.
Step-by-step explanation:
Given,
Height of blue block = 6 cm
Height of green block = 8 cm
We will take least common multiple to find the shortest possible height.
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24 cm
The shortest possible height of tower is 24 cm.
Number of blue blocks used =
Number of green blocks used =
Tim used 4 blue blocks and his brother used 3 green blocks.
Keywords: LCM, multiplication
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Answer:
a)
b)The 99% confidence interval would be given by (0.301;0.355)
Step-by-step explanation:
1) Notation and definitions
number of permanent dwellings on the entire reservation that are traditional hogans.
random sample taken
estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.
true population proportion of permanent dwellings on the entire reservation that are traditional hogans.
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Part a
The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:
Part b
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.301;0.355)