The probability that he will be rejected to at least one of the colleges is 0.51.
Given probability that he will admit in A is 0.7, probability that he will not be admit in B is 0.5, probability that atleast one of his applications got rejected is 0.6.
We have to find the probability that he will be rejected to at least one of the colleges.
Probability that he will admit in A =0.7
Probability that he will not admit in A=1-0.7=0.3
Probability that he will not admit in B =0.5
Probability that he will admit in B=1-0.5=0.5
Probability that he will be rejected to at least one of the colleges=probability that he will admit in A* probability that he will not admit in B+ probability that he will admit in B* probability that he will not admit in A+ probability that he will not admit in A* probability that he will not admit in B
=0.7*0.5+0.5*0.3+0.5*0.3
=0.35+0.15+0.15
=0.51
Hence the probability that he will be rejected to at least one of the colleges is 0.51.
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Step-by-step explanation:
Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. For example, f ( x ) = x 2 + 5 x + 6 f(x) = x^2 + 5x + 6
Answer:
Step-by-step explanation:
F(x) = x² - 2x + 1
= (x - 1)²
By comparing this equation with the vertex form of the quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex
Vertex of the parabola → (1, 0)
x-intercepts → (x - 1)² = 0
x = 1
y-intercepts → y = (0 - 1)²
y = 1
Now we can draw the graph of the given function,
From this graph,
As x → 0,
![\lim_{x \to 0^{-}} (x-1)^2=1](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%5E%7B-%7D%7D%20%28x-1%29%5E2%3D1)
![\lim_{x \to 0^{+}} (x-1)^2=1](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%5E%7B%2B%7D%7D%20%28x-1%29%5E2%3D1)
f(0) = (0 - 1)²
= 1
Since, ![\lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%5E%7B-%7D%7D%20%28x-1%29%5E2%3D%5Clim_%7Bx%20%5Cto%200%5E%7B%2B%7D%7D%20%28x-1%29%5E2%3D1)
Therefore, given function is continuous at x = 0.
Answer:
see explanation
Step-by-step explanation:
(a)
The common difference (d) in an arithmetic sequence is
d =
-
= 24 - 2 = 22
To obtain the next term in the sequence add 22 to the previous term
= 46 + 22 = 68
= 68 + 22 = 90
= 90 + 22 = 112
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(b)
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference
here a = 2 and d = 22, hence
= 2 + 22(n - 1) = 2 + 22n - 22 = 22n - 20 ← n th term formula
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(c)
Using the n th term formula
= (22 × 35) - 20 = 770 - 20 = 750
Answer:
Chicken wing chicken wing hot dog and bologna chicken and macaroni chilling with my Homies because I’m not a macaroni
Step-by-step explanation: