Definitely an easy question, just remember "3,4,5 triangle" Answer is C. <span />
Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
Answer:
Step-by-step explanation:
x=2
The student interchanged the calculations when finding the values of change in x and y;
The student may have started by 14-4 but started with 3-1 for change in x.
Answer:
x=-5/8, y=15/2, z=-10. (-5/8, 15/2, -10).
Step-by-step explanation:
4x-7y=5
8x+3z=-35
6y+3z=15
----------------
4x=7y+5
2(4x)=2(7y+5)
8x=14y+10
14y+10+3z=-35
14y+3z=-35-10
14y+3z=-45
-----------------------
14y+3z=-45
6y+3z=15
------------------
14y+3z=-45
-(6y+3z)=-15
---------------------
14y+3z=-45
-6y-3z=-15
--------------------
8y=-60
simplify,
y=15/2
6(15/2)+3z=15
45+3z=15
3z=15-45
3z=-30
z=-30/3
z=-10
8x+3(-10)=-35
8x-30=-35
8x=-35+30
8x=-5
x=-5/8
x=-5/8, y=15/2, z=-10.