Given: Mean temperature μ = 24 , standard deviation σ =4
The lower and upper bound for temperature within one standard deviation of the mean is given by,
Lower bound = μ - σ = 24 - 4
Lower bound = 20
Upper bound = μ + σ = 24+ 4
Upper bound = 28
The temperature value between (20, 28) is said to be within one standard deviation of the mean.
From given option 27° lies in between (20°, 28°), hence 27° is the temperature value that is within one standard deviation of mean.
First we calculate the z-score for this situation.
![Z=\frac{X- \mu}{\sigma} = \frac{5.3-6.1}{1} = -0.8](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%20%5Cmu%7D%7B%5Csigma%7D%20%3D%20%5Cfrac%7B5.3-6.1%7D%7B1%7D%20%3D%20-0.8)
Finding <em>P</em>(x < 5.3) is the same as finding <em>P</em>(<em>z</em> < -0.8). Using a table of standard normal distribution and z-scores we see that the probability is 0.21186.
New length: 5×3=15 in.
New width: 3×3=9 in.
New height: 2×3= 6 in.
V=l×w×h
V=15×9×6
V= 810 cubic inches. Hope it help!
Answer:
Boat = 20 mph
Current = 5 mph
Step-by-step explanation:
If b is the speed of the boat, and c is the speed of the current, then:
b + c = 225 / 9 = 25
b − c = 225 / 15 = 15
Solve the system of equations with elimination.
2b = 40
b = 20
Plug back into either equation to find the speed of the current.
c = 5
Answer:
11 invitations each
Step-by-step explanation:
Let the number of invitations they bought be x .
Since they spent the same amount of money, Their total costs would be the same. Hence ;
3.25 + 0.75(x) = 0.5x + 6
0.75x - 0.5x = 6 - 3.25
0.25x = 2.75
x = 2.75/0.25
x= 11 invitations