Answer:
Thus, 3/2 in, or 1.5 in, represents 1 mile.
Step-by-step explanation:
"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."
Write and solve an equation of ratios to obtain the unit rate in inches/mi:
3/4 in x
---------- = ---------
1/2 mi 1 mi
Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.
Solve this for x by mult. both sides by 2:
6/4 in-mi = x mi
and then dividing both sides by mi:
(6/4) in-mi
--------------- = 3/2 in
mi
Thus, 3/2 in, or 1.5 in, represents 1 mile.
4tan^(2)x-((4)/(cotx))+sinxcscx
Multiply -1 by the (4)/(cotx) inside the parentheses.
4tan^(2)x-(4)/(cotx)+sinxcscx
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin...
Complete the multiplication to produce a denominator of cotx in each expression.
(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot...
Combine the numerators of all expressions that have common denominators.
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>
Answer:
The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Step-by-step explanation:
Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.
so:
(72,000 x 103 )÷150 = 49,440
The next step is to calculate the 5% margin of error of that result.
49,440 x 0.05= 2,472
Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.
49,440-2,472= 46,968
49,440 + 2,472=51,912
So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Answer:
2
Step-by-step explanation:
there is 2 dots along the line of 17 before 74
hope this helps :)
Answer:
2.5 gallons
Step-by-step explanation:
Make the denominators of the fractions the same and combine them


Then simplify the fraction

Then subtract how many gallons you have from how many you want

You will need 2.5 gallons to make 3 gallons