Hi there!
With a normal distribution, we can use the operation 'normalcdf' on a calculator to find the probability that a randomly selected adult has an IQ between 96 and 111.
Here is the format for using the operation:
<h2>normalcdf(LB, UB, μ, σ) </h2>
LB = Lower bound (96)
UB = Upper bound (111)
μ = Mean of normal distribution (100)
σ = Standard deviation of normal distribution (15)
Plug in the given values into the calculator and solve.
Answer: 28.9 inches ; 15.7 inches
Step-by-step explanation:
Given that:
Width to height = 16 : 9
Hence,
Width = 16x ; height = 9x
Using Pythagoras, solve for the length of the diagonal = 32
32² = 16x² + 9x²
1024 = 256x² + 81x²
1024 = 337x²
x² = 1024 / 337
x² = 3.0385756
x = 1.7431510
Width = 16( 1.7431510) = 27.89 = 28.9
height = 9(1.7431510) = 15.688 = 15.7
Answer:
-6 degrees Fahrenheit
Step-by-step explanation:
Begginging temp: 26 degrees
Temp. dropped: 32 degrees
26 - 32 = -6 degrees
Answer:
(1,3)
Step-by-step explanation:
The given function is
Factor 2 from the first two terms
Add and subtract the square of half the coefficient of x.
Let us create perfect square trinomial
This implies that:
Therefore the vertex is (1,3).
We got this by comparing to
Answer:
2
Step-by-step explanation:
O= theta so you don't get confused
LHS = sinO*sqrt(1+cot²O)+cosO*sqrt(1+tan²O)
=sinO*sqrt(cosec²O)+cosO*sqrt(sec²O)
=sinO*cosecO+cosO*secO
=1+1
=2