Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Hey there!
When the value of something goes down over time- a house, a car, anything- it's called depreciation.
It would be expressed as exponential decay. This is because the value is going down exponentially as stated in the problem. Additionally, when it decays, the growth factor is less than one, so the value steadily decreases.
Let's rule out our other options:
B) Half-Life. This doesn't work because it's usually used for radioactive decay, which is usually a steady decrease of radioactivity and material that divides by two, hence the word half. For example:
Day 0) Started with 10 grams of plutonium
Day 1) 5 grams
Day 2) 2.5 grams
And so on.
C) Compound Interest. Like simple interest, but compunds usually at a certain point - yearly, monthly, every ten years, and so on. But, this is used for interest, mostly in a bank account or if you have a loan. It doesn't exhibit depreciation, and therefore it's not used to predict car value.
D) Exponential Growth- Exponential growth does not work for one main reason - it grows. That would mean that the value of the car goes up- and unless it's an old and very expensive car, that wouldn't be the case.
Hope this helps!
Answer:
40
Step-by-step explanation:
to convert into radian measure, multiply by π/180
40 x π/10
X = dull pencils
y = sharp pencils
x + y = 100
y = x + 16 ~~Plug this back into your original x+y equation.
x+x+16=100 ==> 2x = 84 ==> x = 42. Plug this back into the y = equation
y = 42 + 16 ==> y = 58.
42 Dull, 58 sharp.
Answer:
This is a reflection in the axis or line through AB.
Step-by-step explanation:
Since a triangle is well defined other than its handedness by the length of two sides with the angle between those two sides, and noting the diagram shows that the sides and angle sandwiched are equal but for the fact that the order is reversed, so this is a reflection in the axis or line through AB.
