Answer:
C. The mean daily salary is greater than $350 per day
Step-by-step explanation:
The computation is shown below:
Y = a + bX
where,
Y = money made by a random selected
a = $150
b = $50
X = number of loan
Now
E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)
= 3.94
Now
E(y) = $150 + ($50 × 3.94)
= $347
hence, the option C is not correct
Answer:
y = ± 
Step-by-step explanation:
Given
x = a - 2by² ( subtract a from both sides )
x - a = - 2by² ( multiply through by - 1 to clear the leading negative )
a - x = 2by² ( divide both sides by 2b )
= y² ( take the square root of both sides )
y = ±
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
__
(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
__
(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
_____
Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer:
3.75
Step-by-step explanation:
2.25 divided by 9
= 0.25
then
0.25 * 9
= 3.75
Answer:
Step-by-step explanation:
During the card game, the number of points that Adam scored is x. Imran scored 3 points fewer than Adam. It means that the number of points that Imran scored is
(x - 3) points
I)Shakeel scored twice as many points as imran. It means that the expression for the number of points that Shakeel scored is
2(x - 3) points
Ii) Together they scored 39 points. Therefore, the equation which may be used to find the value of × would be
x + x - 3 + 2(x - 3) = 39
x + x - 3 + 2x - 6 = 39
x + x + 2x - 3 - 6 = 39
4x - 9 = 39
