daniel took 24 photos at the zoo. 3/8 of the photos were giraffes. how many of daniels photos are giraffe
1 answer:
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ANSWER
EXPLANATION
Coterminal angles are angles in standard position that have the same terminal side.
To find an angle in standard position that is coterminal with
We add or subtract multiples of
The first addition gives,
We add the second multiple to get,
Since this is the maximum value among the options, we end the addition here.
Let us now subtract the first multiple to get,
We end the subtraction here because this is the least value among the options.
Therefore the angles that are coterminal with
are
EXPLANATION
Coterminal angles are angles in standard position that have the same terminal side.
To find an angle in standard position that is coterminal with
We add or subtract multiples of
The first addition gives,
We add the second multiple to get,
Since this is the maximum value among the options, we end the addition here.
Let us now subtract the first multiple to get,
We end the subtraction here because this is the least value among the options.
Therefore the angles that are coterminal with
are
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X