Answer:
Step-by-step explanation:
(1)The units for measuring angles are degrees and radians
A circle is 360° which is equal to 2π radians
1°=π/180
To convert angle measurement from degrees to radians multiply the value of degrees by π/180
(11)
To convert angle measurement from radians to degree multiply the value of radian by 180/π
(111)Yes it matters because you will use different formulas to calculate the length of the arc
For example , when the central angle is in radians, the formula to apply is;
⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.
⇒ When the central angle value is in degrees , the formula to apply is
Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle
2. 
we know π=180°
hence 17/6 π=?---------------cross multiply
Apply trigonometry
Find sine 510°
Sine (510°-360°)= sine 150°
Sine 150° = sine 30° = 1/2-----------------2nd quadrant
This means sine 510° = 1/2
Answer:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
Step-by-step explanation:
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
X ~ N (200,20)
For u = 200 and o = 20
For this case we can use the z score in order to solve this problem, given by this formula:
Z = x-u/o
For this part we want to find a value a, such that we satisfy this condition:
P (X > a) = 0.1 (a)
P (X < a) = 0.9 (b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
If we use condition (b) from previous we have this:
P ( X < a) = P (X-u/o < a - u/o) = 0.9
P (z < a-u/o) = 0.9
But we know which value of z satisfy the previous equation so then we can do this:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
Answer:
1/24
Step-by-step explanation:
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
88
/96
-84
/96
Step 2
Since our denominators match, we can subtract the numerators.
88 − 84 = 4
So the answer is:
4
/96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4
/96
÷ 2 =2
/48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
2
/48
÷ 2 =1
/24
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing. There you have it! The final answer is:
11
/12
-7
/8=1
/24
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