Answer:
Electricity bill is 175
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Step-by-step explanation:
Given


monthly

Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425


This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,





<em>Hence, the electricity bill is 175</em>
Answer:
i must be popular because my phone is blowing up- hyperbole
her smile lit up my day-metaphor
the dog continued to bark, speaking with authority-personification
he wept like a faucet-simile
Step-by-step explanation:
Answer: 63%
Step-by-step explanation:
First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.
Assume that rate is x.
38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10
38 = (343 + x ) / 10
380 = 343 + x
x = 380 - 343
x = 37%
The survival rate is the opposite of the rate of loss which means that the survival rate is;
= 1 - rate of loss
= 1 - 37%
= 63%
Answer:
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.064
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29
The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Answer:
Step-by-step explanation:
Given:

To find 
Using trigonometric relations for sums and differences of squares of the ratios.
We know:

Plugging in
in the above relation.

Subtracting both sides by 0.75.


Taking square root both sides.

∴
(Answer)