The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
Answer:
14
Step-by-step explanation:
This is a division problem.
We want to find how many 1/3 liters are in 4⅔ liters.
We divide to obtain:
Or
Convert to improper fraction.
This simplifies to
Therefore there are fourteen ⅓ liters in 4⅔ liters
Answer:
A
Step-by-step explanation:
the graph shows It's the 3rd tallest
Answer:
m<RPQ = 22°
Step-by-step explanation:
Given:
m<SRQ = 90°
PS = PQ
m<SQR = 46°
Required:
m<RPQ
Solution:
m<SQR + m<SRQ + m<RSQ = 180°
Substitute
46° + 90° + m<RSQ = 180°
m<RSQ = 180° - 136°
m<RSQ = 44°
Find m<PSQ:
m<PSQ = 180° - m<RSQ (Angles on a straight line
m<PSQ = 180° - 44° (Substitution)
m<PSQ = 136°
Find m<RPQ:
∆QSP is an isosceles triangle with two equal base angles. Therefore:
m<RPQ = ½(180° - 136°)
m<RPQ = 22°
Answer:
C). 0 degrees
Step-by-step explanation:
The given equation is:
-4 + 6 sinx = -4 + 4 sinx
adding 4 on both sides:
4 - 4 + 6 sinx = 4 - 4 + 4 sinx
6sinx = 4sinx
dividing by 2 on both sides, we get:
6sinx/2 = 4sinx/2
3 sinx = 2 sinx
subtracting 2 sinx from both sides we get:
sin x = 0
x = sin⁻¹ (0)
x = 0 degrees
