Mr. and Mrs. North joined a local fitness club. The club charges each member a $25.00 registration fee and a monthly membership
2 answers:
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Answer:
see explanation
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
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = = 3
this is shown in graph b
№17
Answer: x₁ = 1
x₂ = - 7
№18
Answer: x₁ = 1
x₂ = 0,5.
№19
Answer: x₁ = 1 + √3.5
x₂ = 1 - √3.5
Answer: x₁ = 1
x₂ = - 7
№18
Answer: x₁ = 1
x₂ = 0,5.
№19
Answer: x₁ = 1 + √3.5
x₂ = 1 - √3.5
Answer:
a) 4.387
b) Yes, because np & npq are greater than 10.
c) = 0.017
Step-by-step explanation:
Give data:
p = 0.69
n = 90
a) a
E(X) = np = 62.1
= 4.387
b)
np = 62.1
q = 1 - p = 1 - 0.69 = 0.31
npq = 19.251
Yes, because np & npq are greater than 10.
c.
[continuity correction]
= P(Z> 2.14 )
= 1 - P(Z<2.14)
= 1 - 0.983 (using table)
= 0.017