Answer:
The correct answer: 0.05404
Step-by-step explanation:
Given:
Binomial distribution = x
n = 10
and p = 0.09
solution:
P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10
So the probability is calculated by the Formula:
P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)
putting the given values in the formula
= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))
= 0.0540400
Thus, the correct answer: 0.05404
Answer:
Step-by-step explanation:
Two sheets will cost: $27
The value of the first sheet will be $18, and since the other sheet is half off it will be half of the original value: 18 * 0.5 = 9.
Then you add the values together: 18 + 9 = 27.
Six sheets will cost: $81
For every sheet that is the original value there is a sheet that is half off. So since there are six sheets, 3 of the sheets will be $18 and three of them will be $9. We already know that 18+9=27, so just multiply that value by 3.
27*3= 81
Better deal: The second example
In the second example sheets are 30% off. 30% of 18 is $6. Subtract that value from 18 and you will get $12. In the second example one sheet is $12.
If we multiply that value by 2, we will get $24.
In the first example, two sheets costs $27, while in the second example two sheets cost $24. Since the cost is less for the second example, the second example is the better deal.
Y - 5 = 3 - 9(y + 2)
Expand the brackets
y - 5 = 3 - 9y + 18
Move y to one side, and constants to the other
10y = 26
Solve for y
y = (26 / 10) = 2.6
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = 
Tan 13 = 
x = 
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = 
y = 
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet
Answer:
3
Step-by-step explanation:
11:00 pm - 6:00pm = 5 hour span
55-40=15 decreased each hour
5 divided by 15
0.3 = 3
3 x 5 = 15
