Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = 
= 
= 
= 
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ( )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
The life span of the battery can be expected 98% of the batteries to meet the guarantee will be 149.3 hours.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Many electronic devices use disposable batteries, which eventually have to be replaced.
The mean is 140 hours and the standard deviation is 4 hours.
The marketing department wants to write a guarantee for the battery life.
The life span of the battery can be expected 98% of the batteries to meet the guarantee will be
Then the z value for 98% is 2.326.
Then the life span will be
2.326 = (x - 140) / 4
9.304 = x - 140
x = 149.3 hours
The life span of the battery can be expected 98% of the batteries to meet the guarantee will be 149.3 hours.
More about the z-score link is given below.
brainly.com/question/15016913
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Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
By definition of conditional probability,
The inclusion-exclusion principle tells us
Then
csc(x) is the reciprocal of sin(x)
Since sin(x) = 6/7
Then to find csc (x) reciprocal to the value of sin(c)
csc(x) = 7/6
The answer is the first choice
