Answer:
1)
<u><em>k - 5 = m</em></u>
<u><em>n - 3 = s</em></u>
2)
<u><em>Lisa is 17 and Myra is 12</em></u>
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<u><em>1) </em></u>Key:
brother = b
me = m/n
sister = s
Equation:
m + 5 = b
m - 3 = s
Answer:
b - k = m
n - 3 = s
<u><em>2)</em></u>
L + M = 19
(L + 5) + M = 29
(L + 5 - 5) + m = 24
L + M = 24 / 2 = 12
L = 12 + 5 = 17
M = 12
Lisa will be 17 and Myra is 12
To answer this question we can think Soh Cah Toa. If we are 100 ft from the tree and at an angle of 36 degrees and we want what I call the rise we can us the Toa formula tan(36)=o/100 then manipulate algebraically until we get the following o=tan(36)(100) this give us the height (o) to be 72.65 meters
Number 4 is C... 21
To complete the question, make the equation 5x + 15 + 3x - 3 = 180 because of supplementery angles.
Just solve for x to get 21.
Number 5 is C... 120
To complete this question, sub 21 in for X in the equation 3x - 3 to get 60. Subtract 60 from 180 to get 120.
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.