Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
step 1
Subtract 14 from 50
50-14=36
so
If you solve for p
the answer is the second option
Let the length equal x
Then the width would be 4x + 8 (8 feet more than 4 times the length)
Area = length x width:
5,472 = x * 4x+ 8
Simplify:
5472 = 4x^2 + 8x
Subtract 5472 from both sides:
4 x^2 + 8x - 5472 = 0
Use the quadratic formula to solve for x.
X = 36
Now you know the length is 36 feet
The width = 4(36) + 8 = 152 feet
Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.
The answer is B. 376
First you need to subtract 750-600= 150.
Then 150 time .35=52.5.
Lastly 52.5+49.99= 102.49
A(n) = a₁.(r)ⁿ⁻¹, where a₁ = 1st term, r= common ratio and n, the rank
In the formula given a₁ = 5, r = 3/2 and n = 6 (we have to find the 6th term value).
a₆ = 5.(3/2)⁶⁻¹ = 5.(3/2)⁵ = 1215/32 (answer C)
