Answer:
1233
Step-by-step explanation:
1.754
Answer:
36 days
Step-by-step explanation:
Given
-- probability of coming late to work
-- number of days
Required
Determine the expected number of days of coming late (E(x))
This is calculated using:
The expected number of days is 36
Answer:
(1 ) Inner curved surface area of the well is 109.9 sq. meters.
(2) The cost of plastering the total curved surface area is 4396.
Step-by-step explanation:
The inner diameter = 3.5 m
Depth of the well = 10 m
Now, Diameter = 2 x Radius
⇒R = D/ 2 = 3.5/2 = 1.75
or, the inner radius of the well = 1.75 m
CURVED SURFACE AREA of cylinder = 2πr h
⇒The inner curved surface area = 2πr h = 2 ( 3.14) (1.75)(10)
= 109 sq. meters
Hence, the inner curved surface area of the well is 109.9 sq. meters.
Now, the cost of plastering the curved area is 40 per sq meters
So, the cost of total plastering total area = 109.9 x(Cost per meter sq.)
= 109.9 x (40)
= 4396
Hence, the cost of plastering the total curved surface area is 4396.
The amount remaining after 171 hours is 18.75 grams
<h3>How to calculate Exponential Decay?</h3>
Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay. Exponential decay can be expressed mathematically like this:
A(t) = A₀(¹/₂)^(t/t_1/2)
where;
A (t) - the amount left after t years;
A₀ - the initial quantity of the substance that will undergo decay;
t_1/2 - the half-life of the decaying quantity.
We are given;
t_1/2 = 57 hours
t = 171
A₀ = 150
Thus;
A(171) = 150 * (¹/₂)^(171/57)
A(171) = 150 * 0.125
A(171) = 18.75 grams
Thus, the amount remaining after 171 hours is 18.75 grams
Read more about Exponential Decay at; brainly.com/question/15575933
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Answer:
X
Step-by-step explanation:
y = 2x - 4x + 6
y = x + 2
So,
x + 2 = 2x - 4x + 6
Then rearrange, combining like terms
x + 2 + (-2x + 4x - 6) = 0
3x = -4
Simplify
x = -0.75