−15 + n = −9 pls help
2 answers:
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Option A
Length of CD is 10 inches
<u><em>Solution:</em></u>
The diagram is attached below
Given that, Circle A and circle B are congruent
CD is a cord of both circles
AB = 24 inches
Radius = 13 inches
To find: length of CD
Draw a straight line connecting A and C
AC represents the radius of circle. Also given that radius is 13 inches, So AC = 13 inches
Given in question that AB = 24 inches
Therefore from figure, AO = AB/2 = 24/2 = 12
AO = 12
Let "b" be the length of CO
Therefore, CD = CO + OD = b + b
AOC forms a triangle, so we can use pythogoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition for triangle AOC
Substituting AC = 13 and AO = 12 and OC = b
<em><u>Thus length of CD is:</u></em>
CD = b + b = 5 + 5 = 10
Thus length of CD is 10 inches
Answer:
A
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
(x + 4)² + (y - 1)² = 25 ← is in standard form
with centre = (- 4, 1 ) and r = = 5 → A
Answer:
The average weekly grocery bill per four-person family in the town is significantly different from the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $100
Sample mean, = $103.23
Sample size, n = 25
Alpha, α = 0.05
Sample standard deviation, s = $8.82
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We accept the null hypothesis.
We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.