I think #1 is -1/2 but im not sure i dont know about the other answers
Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
There are different way but I will give you 2 ways;
1. Learn the definition of the domain. The domain is defined as the set of input values for which the function produces an output value. In other words, the domain is the full set of x-values that can be plugged into a function to produce a y-value.
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2. Learn how to find the domain of a variety of functions. The type of function will determine the best method for finding a domain. Here are the basics that you need to know about each type of function, which will be explained in the next section:
A polynomial function without radicals or variables in the denominator. For this type of function, the domain is all real numbers.
A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation.
A function with a variable inside a radical sign. To find the domain of this type of function, just set the terms inside the radical sign to >0 and solve to find the values that would work for x.
A function using the natural log (ln). Just set the terms in the parentheses to >0 and solve.
A graph. Check out the graph to see which values work for x.
A relation. This will be a list of x and y coordinates. Your domain will simply be a list of x coordinates.
Answer:
0.082
Step-by-step explanation:
Total number of clients = 4
From past experience, the agent knows that the probability of making a sale on any appointment is one out of five = 1/5.
This shows that there are only two possible outcomes, success or failure. It is either she makes a sale on an appointment or she fails to make a sale on the appointment. Therefore, we can use binomial distribution.
For binomial distribution,
P(x=r) = nCr × q^(n-r) × p^r
p = probability of making a sale on any appointment = 1/5 = 0.2
q = probability of not making a sale on any appointment = 1 -1/5 = 0.8
n = 5
x = 3
P(x=3) = 5C3 × 0.8^2 × 0.2^3
= 10×0.6724× 0.012167 =0.082
The answer is 4,239,000 but I don’t know what you mean by decimal form.
