Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations
1 answer:
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Answer: 1) 0.6561 2) 0.0037
Step-by-step explanation:
We use Binomial distribution here , where the probability of getting x success in n trials is given by :-
, where p =Probability of getting success in each trial.
As per given , we have
The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10
Sample size : n= 4
Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.
1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel =
∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.
2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.
=
∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.
Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,
In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴
Therefore the value of x = 10 units
Answer:
0 and -3
Step-by-step explanation:
Natural numbers are all whole numbers from 1 to infinity. i.e
1, 2, 3, 4 . . .
These numbers do not include 0.
Integers are all whole numbers (positive and negative) including 0. i.e
. . ., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .
These numbers are all natural numbers including their negative counterparts (i.e negatives of the natural numbers) and also 0.
<em>So from the options in the question:</em>
1 is a natural number as well as an integer
-5.41 is not a natural number neither is it an integer.
3 root 12 (written as ) is neither a natural nor an integer number.
0 is an integer but not a natural number
-3 is an integer but not a natural number
-9/7 is neither a natural nor an integer number.
23 is a natural number as well as an integer
Therefore, 0 and -3 are integers but not natural numbers