WHO EVER ANSWERS FIRST GETS BRAINLEST
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Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
Answer:
(a) median = 57
(b) Q1=50 Q3=63.5
(c)D1 = 41 D9=67
(d)P33= 51
Step-by-step explanation:
(a) The numbers are arranged in ascending order, and there are even number of calls. So the median will be the average of the middle terms.
middle terms are 55 and 59
Median =
median= 57
(b) First quarter Q1 = th
=th
= 7.5th
so the first quarter lies in the 7.5th= (7+0.5)th term
So we multiply 0.5 by the difference of the 7th and 8th term
=0.5 *0= 0
Q1 = 50+0=50
Q3=th
=th
=22.5th = (22+0.5)th term
So we multiply 0.5 by the difference of the 22th and 23rd term
= 0.5*1=0.5
Q3= 63+0.5=63.5
(c) First decile (D1) = th
=th
= 3rd term
D1= 41
D9= th
=th
=27th term
D9 = 67
(d) 33rd percentile =th
=th
= 9.9th term = (9 +0.9)th
Multiply 0.9 by the difference between the 9th and tenth term.
= 0.9*0 =0
P33 = 51