Answer:
The margin of error for a 90% confidence interval is 16.4
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 25
Standard deviation = 50
Margin of error =
Putting the values, we get,
Thus, the margin of error for a 90% confidence interval is 16.4
Answer:
Y= 5/6x+5
Step-by-step explanation:
Okay same as before
the slope is rise over run
The rise is 5
The run is 6
So 5/6
And since ts rising from left to right its positive
The y-intercept which is the first point the line touches the Y axis is 5
So y=5/6x+5
Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
1)
36/3 x 42/3 = 12yd x 14yd
12×14=168
you will need 168 square yards to recarpet the kindergarten.
2)
168×24.99=4198.32
it will cost $4198.32 to recarpet the kindergarten.
3)
3.5 is 35% of 10
4198.32÷3.5=1198.52
they will need to sell 1199 coupon books to completely pay for the the recarpeting.
Since it takes one hour to fly 230 miles, and we are looking for the number of hours, we can divide the number of miles we are given by the speed. In this case, we would divide 1380 by 230 to get 6. This means it would take 6 hours for the plane to fly 1380 miles.
