We have to find t(theta) in radians.
cos t = cos 65° + cos 55°
We know that:
cos x + cos y = 2 · cos (x+y)/2 · cos (x - y)/2
cos t = 2 · cos (65°+55°)/2 · cos (65°-55°)/2
cos t = 2 · cos 60°· cos 5°
cos t = 2 · 1/2 · cos 5°
cos t = cos 5°
t = 5° = π/36 radians
Answer:
Therefore the expression is option A)
Step-by-step explanation:
Given:
Statement as ' 8 less than two times X'
To Find :
Expression for the statement
'8 less than two times X'
Solution:
Now 8 less than two times X means Subtract 8 from '2x'
Therefore the expression is option A)
Answer:
C) 0.880
B) 0.075
Step-by-step explanation:
If the professor forgets to set the alarm
Probability = 0.1,
Wakes up in time probability = 0.25.
If the professor sets the alarm
Probability = 1 - 0.1 = 0.9
Wake up in time probability = 0.95.
A.)
The probability that professor Moore wakes up in time to make his first class tomorrow
Probability = ( Forgets to set alarm probability x Wakes up in time )+ ( Sets the alarm probability x Wakes up in time ) = ( 0.1 x 0.25 ) + ( 0.9 + 0.95 ) = 0.88
B.)
Late in the class
Set the Alarm Probability = 0.1
Wakes up late probability = 1 - 0.25 = 0.75
Professor Sets the alarm probability = Set the Alarm Probability x Wakes up late probability = 0.1 x 0.75 = 0.075
Answer:
A. Sam, Joe, Lynn, Kori
B. Kori, Lynn, Sam, Joe
Step-by-step explanation:
We need Kori and Lynn together and Kori and Sam at least a seat apart.
A. Sam, Joe, Lynn, Kori
B. Kori, Lynn, Sam, Joe
C. Lynn, Kori, Sam, Joe
D. Responses A and C
It seems both A. Sam, Joe, Lynn, Kori and B. Kori, Lynn, Sam, Joe both work. There is no choice for both of them so I'll just put both of them as my answer.
Y = 0.213x – 352.0 <span> represents this linear model shown in the data table.
Plug in the values of x into the equation for a double check.
Let's try 1980.
</span><span>y = 0.213(1980) – 352.0
</span>y = 69.74
which is closest to the 70.1 whereas other options do not satisfy the condition.
