Answer:
<em> 85% level of the confidence interval is</em>
<em>(26.337, 26.662)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by

Critical value Z₀.₁₅ = 1.036
<em> 85% level of the confidence interval is determined by</em>


( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)
Answer:
$51.12
Step-by-step explanation:
Hello there!
In number 19, we want to find the total price of a sweatshirt that costs $48 dollars but has 6.5% sales tax
Sales tax is a small percentage of the cost of an item that is added to items when they are being sold.
In this problem, 6.5% of the cost of the sweatshirt will be added to the cost of the sweatshirt in the form of sales tax. The price of the sweatshirt plus the amount in sales tax will be the total cost of the sweatshirt.
Translating that as an equation,
48 + 48*6.5%=total cost
You can calculate 48*6.5% as
, which is equal to 3.12
So that means that $3.12 will be added to the cost of the sweatshirt.
Therefore,
48 + 3.12=<u>$51.12</u>, which will be the total cost of the sweatshirt, including sales tax
Hope this helps!
7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.
Recall that

which tells us

Now,

and so

Answer:
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Step-by-step explanation:
cc dscds j
Answer:
b. (1, 13).
Step-by-step explanation:
Here's a pic of my work. You can put either equation on the other side of the equal sign, because they both equal Y. therefore, they equal each other.