The basket filled with cards is an illustration of probability
The probability of selecting any card from the basket is 1/36
<h3>How to determine the probability</h3>The number of letters is:
Letters = 26
The number of digits is:
Digits = 10
This means that the total number of cards is:
n = 36 (i.e. 26 + 10)
So, the probability of selecting a card is:
Hence, the probability of selecting any card from the basket is 1/36
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Answer:
Step-by-step explanation:
The standard form of a parabola is written as
where a, b and c are the coefficients of the second-degree, first degree and zero-degree terms.
The coordinates of the vertex of a parabola is given by:
The coordinates of the focus instead are given by
In this problem, we know the coordinates of the vertex and of the focus point:
Vertex: (-3,3)
Focus point: (-3,2)
So we have:
(1)
(2)
(3)
From eq.(1) we get
(4)
Substituting into (2),
(5)
Now rewriting eq.(3) as
And substituting (4) and (5) into this, we can find b:
Then we can find a and c:
And
So the parabola is
Answer:
The cost of painting the hemispherical dome is 110880 unit
Step-by-step explanation:
Given as for a hemispherical dome :
The circumference of base = 17.6 m
The cost of painting it = 5 unit per 100 cm²
∵ circumference of base = circumference of circle = 2××radius
So ,17.6 m = 2××radius
Or, Radius =
Or, Radius = = 2.8 m
Or, R = 280 cm
So, Total surface area of hemispherical dome = 3××radius²
or, Total surface area of hemispherical dome = 3××280²
Or, Total surface area of hemispherical dome =
Or, Total surface area of hemispherical dome =
∴ Total surface area of hemispherical dome = 739200 cm²
Now, The cost of painting 100 cm² is 15 unit
So, The cost of painting 739200 cm² =
Or, The cost of painting 739200 cm² = 110880 unit
Hence The cost of painting the hemispherical dome is 110880 unit Answer