Answer:
(:
Step-by-step explanation:
Answer:
angle B is 38 degree
Step-by-step explanation:
In triangle ADC,
finding angle C
angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)
46 + angle C = 110
angle C = 110 - 46
angle C = 64 degree
In triangle ABC
finding angle B
angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)
78 + angle B + 64 = 180
142 + angle B = 180
angle B = 180 - 142
angle B = 38 degree
Answer:
The answer to your question is (x - 7)² + y² = 81
Step-by-step explanation:
Data
Center = (7, 0)
radius = 9
Process
To find the standard equation of a circle, just substitute the values of the center and the radius.
Standar equation of a circle
(x - h)² + (y - k)² = r²
-Identify the values of h and k
h = 7 k = 0 and r = 9
-Substitution
(x - 7)² + (y - 0)² = 9²
-Simplification
(x - 7)² + y² = 81
Answer:
0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The leading brand of dishwasher detergent has a 30% market share.
This means that 
A sample of 25 dishwasher detergent customers was taken.
This means that 
a. What is the probability that 10 or fewer customers choose the leading brand?
This is:

In which












Then

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand