In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did
1 answer:
Answer:
Hours slept = 6 hours
Hours awake = 18 hours
Step-by-step explanation:
Sasha got 1 hour of sleep for every 3 hours she was awake.
So,
<u>This means:</u>
Slept : Awake = 1 : 3
Total hours in a day = 24 hours
<u>Let </u>
Hours slept = 1x and hours awake = 3x
<u>Hence,</u>
1x + 3x = 24 hours
4x = 24
Divide both sides by 4
x = 24 / 4
x = 6
<u>So,</u>
Hours slept = 1(6) = 6 hours
Hours awake = 3(6) = 18 hours
Hope this helped!
<h3>~AH1807</h3>You might be interested in
Answer:
Step-by-step explanation:
Direct variation problems can easily be solved with proportions, namely:
and cross multiply to get
2y = 20 so
y = 10
The Poisson probability distribution function is
where
μ = mean number of successes
x = actual or expected number of successes
Given:
μ = 13
x = 5
Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
= 0.8392/120
= 0.006994
= 0.0070 (to 4 dec. places)
Answer: 0.0070 (to 4 decimal places)
It is interesting to observe P(x) as x varies, as in the graph shown below.
where
μ = mean number of successes
x = actual or expected number of successes
Given:
μ = 13
x = 5
Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
= 0.8392/120
= 0.006994
= 0.0070 (to 4 dec. places)
Answer: 0.0070 (to 4 decimal places)
It is interesting to observe P(x) as x varies, as in the graph shown below.