Answer:
The equivalent is 77°F
Step-by-step explanation:
Given
Temperature= 25 °C
Required
Convert to Fahrenheit (°F )
To convert from Celsius to Fahrenheit, we simply make use of the following formula:
Substitute 25 for °C
Open bracket
Hence;
<em>The equivalent is 77°F </em>
Answer:
P = αP(x≥k,p1) + (1-α)P(x≥k,p2)
Step-by-step explanation:
The probability that k of n components function on a day follows a binomial distribution, so the probability is:
Where p is the probability that a component function and nCk is
So, the probability that at least k of the n components function on a day is:
P(x≥k,p) = P(k,p) + P(k+1,p) + P(k+2,p) + ... + P(n,p)
Then, if it is rain, the probability of the function p is equal to p1, if it isn't the probability p is equal to p2, so the probability P that the satellite system will function is:
P = αP(x≥k,p1) + (1-α)P(x≥k,p2)
Where, P(x≥k,p1) and P(x≥k,p2) are equal to:
P(x≥k,p1) = P(k,p1) + P(k+1,p1) + P(k+2,p1) + ... + P(n,p1)
P(x≥k,p2) = P(k,p2) + P(k+1,p2) + P(k+2,p2) + ... + P(n,p2)
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = -
=
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
=
+ (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39