Answer:
The height of the cliff CD is approximately 539.76 m
Step-by-step explanation:
The given parameters are;
The first angle of elevation with which the captain sees the person on the cliff = 61°
The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°
The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°
∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;
The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°
By sine rule, we have;
AB/(sin(a)) = BC/(sin(c))
Which gives;
92/(sin(8°)) = BC/(sin(61°))
BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m
BC ≈ 578.165 m
The height CD = BC × sin(69°)
∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.
The height of the cliff CD ≈ 539.76 m.
The value of 2 is two thousand
If the graph is out of 100 people that means one person is one percent. So 22% of adults like basketball and 15% like baseball, add the two together and you get 37 percent
Answer:
a) 
b) 
Step-by-step explanation:
1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%, 2 and 68%, 1 standard deviation from the mean.
As you can see in the graph.
a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?
By the rule
We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.
So
But the question wants to know more than 469 calories, then
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
Check the graph below
This percentage is the interval, which is a quarter of that 95%
c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Since we're dealing with a Normal Curve, then to find the 16th percentile we need:
- The Mean and Standard deviation
- The Z score and then multiply by that Standard Deviation
- Add this to the mean
.
We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.
