Answer:
0.8
Step-by-step explanation:
Answer:
The value of n is 5
Step-by-step explanation:
Here, we want to get the value of n
To get this, we will need to use the appropriate trigonometric identity
As we can see, n represents the opposite as it the side that faces the angle given
m is the hypotenuse as it is the side that faces the right angle
The last side is called the adjacent
The trigonometric identity we want to use is that which connects the opposite to the adjacent
The appropriate trigonometric identity to use in this case is the tan
Thus;
Mathematically, the tan is the ratio of the opposite to the adjacent
hence;
tan 30 = n/ 5 √3
n = 5 √3 * 1/ √3
n = 5
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
We are not told what to calculate, but the following are possible:
1. Margin of error (E) = 9.30 (approx.)
2. Confidence interval (CI) = [220.70 < μ < 239.30] - Approx.
Step-by-step explanation:
We are not told what to calculate, but the following are possible:
1. Margin of error (E), and
2. Confidence interval (CI)
Given that:
Sample size (n) = 10
Mean (x bar) = 230 and,
Standard deviation (sd) = 15.
We assumed, 95% confidence level.
And is approximately normal. This implies that, we should use Z statistics instead of t statistics.
1) E = ±Z *
E = ±1.96 * 4.743416 = 9.297095
E = 9.30 (approx.)
2) CI = xbar ± E
CI = 230 ± 9.297095
CI = 220.7029 < μ < 239.2971
CI = [220.70 < μ < 239.30] - Approx.
Answer:
5/9
Step-by-step explanation:
Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.
To make this easier, let's substitute a different number for 5/6. We'll say 2.
If he has completed TWICE the length of the race, how would you determine how far he ran?
You would multiply 2/3 by 2! This same principle can be applied to the problem.
To determine the total distance run in miles, we can write it as 2/3 * 5/6
(NOTE that * is known as "times" or "multiplied by")
With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!
But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.
Hope this helped!