Answer:
the right answer is : -3
Step-by-step explanation:
Answer:
±2 sqrt(3) =x
Step-by-step explanation:
12 - x^2 = 0
Add x^2 to each side
12 - x^2 + x^2 = x^2
12 = x^2
Take the square root of each side
±sqrt(12) = sqrt(x^2)
±sqrt(4*3) = sqrt(x^2)
±sqrt(4) sqrt(3) = x
±2 sqrt(3) =x
Answer:
Step-by-step explanation:
Since the life of the brand of light bulbs is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = life of the brand of lightbulbs
u = mean life
s = standard deviation
From the information given,
u = 1300 hrs
s = 50 hrs
We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as
P(1225 ≤ x ≤ 1365)
For x = 1225,
z = (1225 - 1300)/50 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is
0.06681
For x = 1365,
z = (1365 - 1300)/50 = 1.3
Looking at the normal distribution table, the probability corresponding to the z score is
0.9032
Therefore
P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364
Answer:The area of the bottom of the jewelry box is 139.75 inch^2
Step-by-step explanation:
The area of a rectangle is expressed as
Area = Length × width
The length of the rectangular bottom of dais jewelry box is 5 3/8 inch. Converting to improper fraction, it becomes 43/8 inch.
The width of the rectangular bottom of dais jewelry box is 3 1/4 inch. Converting to improper fraction, it becomes 13/4 inch.
The area of the bottom of the jewelry box will be
43/8 × 13/4 = 559/32 = 139.75
