Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
We substitute x=161.4 , 
, and 
to get:
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer:
Step-by-step explanation:
Given
See attachment for triangles
Solving (a)
The tan of an angle is:
From the given triangle.
So, we have:
Solving (b)
The cos of an angle is:
From the given triangle.
So, we have:
Answer:
x = 0
Step-by-step explanation:
5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.
The answer is a.0.32 km.
The speed that a tsunami can travel is modeled by the equation is s = 356√d.
It is given:
s = 200 km/h
d = ?
Now, let's substitute s in the equation and find d:
s = 356√d
200 = 356√d
√d = 200 ÷ 356
√d = 0.562
Now, let's square both sides of the equation:
(√d)² = (0.562)²
d = (0.562)² = 0.316 ≈ 0.32
Therefore, <span> the approximate depth (d) of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.</span>
Answer:
a) 88
b) 162 $
Step-by-step explanation:
Given Bryan sold 9 more flowers than Elan
1/4 x - 1/5 x = 9
x/20 = 9
x = 180
Flowers with Bryan = 45
Flowers with Elan = 36
45+36 = 81
Remaining flowers = 99
Flowers with Fiona = 8/9 * 99 = 88
