Answer:
150 miles
Step-by-step explanation:
If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.
Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.
3*2=6
20*6=120
Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.
10*3=30
120+30=150
The actual distance is 150 miles.
Hope this helps!
To find your answer you would find the perimeter of the small square which is 28.
You would then find the perimeter of the big square which is 56.
Next, you subtract 56 from 28 and get 28.
So the difference is 28 inches.
Hope this helps!!
Answer:
This system has one solution (x=2 and y=2), then the answer is A.
Step-by-step explanation:
The system of equations is:
(1)
(2)
Let's multiply the first equation by 2 and subtract it to the second equation
Using this value in (1) we can find y.
Therefore, this system has one solution (x=2 and y=2), the answer is A.
I hope it helps you!
Answer:
Between 12.614 years and 16.386 years
Step-by-step explanation:
Given that:
Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9
α = 1 -c = 1 -0.9 = 0.1
The z score of 
is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:
The margin of error (e) = 
= 
The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)
Step-by-step explanation:
Using distance formula: { origin is (0,0)}
√(x - 0)² + (y - 0)²
√x² + y²
