Answer:
Sorry to break it to you
Step-by-step explanation:
i am actually 13 and i put my age at 63 and so when i tried to change it. It would not work so you need to make a new account if you want to
Answer:
Wind speed = 30 mph
Plane speed = 270 mph
Step-by-step explanation:
Given that :
Distance = 600 miles
Let speed of airplane = a ; speed of wind = b
Net speed ; with wind = a + b
Net speed against wind = a - b
Time taken with wind = 2 hours
Time taken against wind = 2.5 hours
Recall :
Speed = distance / time ; distance = speed * time
(a + b) * 2 = (a - b) * 2.5
2a + 2b = 600
a + b = 300 - - - (1)
a = 300 - b
2.5a - 2.5b = 600
a - b = 240 - - - (2)
300 - b - b = 240
300 - 2b = 240
-2b = - 60
b = 30
a = 300 - 30
a = 270
Wind speed = 30 mph
Plane speed = 270 mph
(3x + 4)2 = 14
(3x + 4)2 means that 2 will multiply both 3x and 4
2 * 3x = 6x 2 * 4 = 8
6x + 8 = 14
Move +8 to the other side of the equation
6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -
6x = 14 - 8
6x = 6
Divide both sides by 6 because of the 6 beside the x : 6x
6x/6 = 6/6
x = 1
Answer:
z = 1.960
Step-by-step explanation:
The sample proportion is:
p = 715 / 2684 = 0.2664
The standard error is:
σ = √(pq/n)
σ = √(0.266 × 0.734 / 2684)
σ = 0.0085
For α = 0.05, the confidence level is 95%. The z-statistic at 95% confidence is 1.960.
The margin of error is 1.960 × 0.0085 = 0.0167.
The confidence interval is 0.2664 ± 0.0167 = (0.2497, 0.2831).
The upper limit is 28.3%, so the journal can conclude with 95% confidence that the true percentage is less than 29%.
Answer:
20) MAD = 60°
21) <LPN = 57°
22) Second and third images, XY is the tangent of circle Z
23) x = 11.2
Step-by-step explanation:
20)
<B = <C
11x - 3 = 8x + 15
3x = 18
x = 3
so
<B = <C = 11(3) - 3 = 33 - 3 = 30
mAD = 2(30) = 60
21)
a) <LPN = 1/2(360 - 102 - 144)
= 1/2(114)
= 57°
22)
The tangent to a circle is perpendicular to the radius at the point of tangency.
a)
(7+5)^2 = 7^2 + 10^2
(12)^2 = 49 + 100
144 ≠ 149
First image, XY is not tangent of circle Z
b)
20^2 = 12^2 + (8+8)^2
400 = 144 + 256
400 = 400
Second image, XY is the tangent of circle Z
c)
(11.7 +7.8)^2 = 11.7^2 + 15.6^2
380.25 = 136.89 + 243.36
380.25 = 380.25
Third image, XY is the tangent of circle Z
23)
x^2 = (8.4+5.6)^2 - (8.4)^2
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
