The given equations satisfy the given conditions. There are
2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
Answer:
125
Step-by-step explanation:
6 and 7 are on a straight line (180 degrees)
Angle 2 is equal to Angle 6
Therefore 180 - Angle 6 = Angle 7
180 - 55 = 125
The equation of a circle exists:
, where (h, k) be the center.
The center of the circle exists at (16, 30).
<h3>What is the equation of a circle?</h3>
Let, the equation of a circle exists:
, where (h, k) be the center.
We rewrite the equation and set them equal :


We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.
-2hx = -32x
h = -32/-2
⇒ h = 16.
-2ky = -60y
k = -60/-2
⇒ k = 30.
The center of the circle exists at (16, 30).
To learn more about center of the circle refer to:
brainly.com/question/10633821
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Answer: She would save $175.08 during each of the next 2 weeks.
Step-by-step explanation:
Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. This means that the amount that she already saved is
25/100 × 466.88 = $116.72
The amount remaining would be
466.88 - 116.72 = $350.16
During the next 2 weeks, she will save 1/2 of the remaining cost of the ticket. This means that the amount that she would save during each of the next 2 weeks is
1/2 × 350.16 = $175.08
Answer:
D)
Step-by-step explanation:
ASSUMING NORMAL DISTRIBUTION, LESS THAN 10% AT LOWER END
OF 15.34 MEANS [DENOTING MEAN BY M AND Standard Deviation. BY S]
M±AS=20%....................M-AS=15.34
FOR 20% LEVEL .......A=1.281........FROM TABLES
M-1.281×S=15.34............................1
SIMILARLY
M±BS=40%...................M+BS=16.31
FOR 40% LEVEL .............B=0.841...................FROM TABLES
M+0.841×S=16.31.............................2
EQN.2 - EQN.1
2.122×S=0.97
S=0.457=0.46
M=15.926= 15.93
HENCE, D IS THE ANSWER
that is D. μ = 15.93, σ =.46