Sin(2theta)=1/2
a, f(0)
b. f(6)
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Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.
The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.
Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.
The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:
Expected number of advertisements = probability of an advertisement x total number of e-mails
= 0.7 x 100
= 70
Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.
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The solution to the equation 3x + 1 = 10 is x = 3.
To solve the equation 3x + 1 = 10, follow these steps:
Step 1: Get the variable term (3x) by itself by subtracting 1 from both sides of the equation.
3x + 1 - 1 = 10 - 1
3x = 9
Step 2: Isolate the variable by dividing both sides of the equation by the coefficient of x, which is 3.
3x/3 = 9/3
x = 3
So, the solution to the equation is x = 3.
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