Answer:
where is it
Step-by-step explanation:
Answer:
south since its the opposite
Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups
Answer:
Option (4)
Step-by-step explanation:
Area of a triangle = ![\frac{1}{2} (a.b.\text{Sin}\theta)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%28a.b.%5Ctext%7BSin%7D%5Ctheta%29)
Where a and b are the sides of a triangle and θ is the angle between the sides a and b.
By this rule,
Area of ΔWZY = ![\frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BWZ%7D%29.%28%5Ctext%7BYZ%7D%29.%5Ctext%7BSin%7D%28115%29)
45 = ![\frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BYZ%7D%29.%2810%29.%5Ctext%7BSin%7D%28115%29)
9 = (YZ).Sin(115)°
YZ = ![\frac{9}{\text{Sin}(115)}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B%5Ctext%7BSin%7D%28115%29%7D)
YZ = 9.93
Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ
= 9.93 + 10 + 9.93 + 10
= 39.86
≈ 40 units
Therefore, perimeter of the parallelogram is 40 units.
Option (4) is the answer.
Answer:
B, C, A.
Step-by-step explanation:
A = C + 3A = C + 3
A = C + 3
A = C + 3A
C + 3A = C + 3
3A = 3
A = 1
A = C + 3
1 = C + 3
C + 3 = 1
C = -2
B = 2C
B = 2(-2)
B = -4.
So, from least to greatest, B = -4, C = -2, and A = 1.
Hope this helps!