It is 9. You have to add 33y, then divide by 11 and you get x = 3y + 9
The question is to find out how many times 1/4 is equal to 1 1/2
First lets convert the total:
1 1/2 = 2/2 + 1/2 = 3/2
now we need to find out a number that multiplied by 1/4 gives 3/2, that is an equation:
(1/4)x = 3/2
and solving for x:
x = (3/2)*4
x = 12/2
x = 6
therefore they will take 6 days to repave the whole street
Answer:
280000lb
Step-by-step explanation:
In this question, we shall be calculating the amount of carbon iv oxide prevented from entering the atmosphere.
Generally we know that 1kwh produces 1.37 lbs of Carbon iv oxide in the atmosphere
Now, using a 100 watt light bulb daily for 8 hours, for a year, the amount of Carbon iv oxide produced will be;
100 * 1.37 * 8 * 365 = 40040 lb
Using a 30 watt CFL for 8hrs/ day for a year, we have;
30 * 1.37 * 8 * 365 = 120012 lb
Now calculating the amount of CO2 prevented, we have 40040 - 120012 = 280028 lb = 280000 after rounding up
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
We are already given with the function to solve for the area:
<span>A(θ) = 16 sin θ ⋅ (cos θ + 1)
</span>
We simply have to substitute the value of the angle into the function. So,
If <span>θ = 90°,
A(</span>90°) = 16 sin (90°) ( cos (<span>90°) + 1 )
Using the calculator or the definition of trigonometric functions at angle of </span><span>90°, we get the value of the area:
</span>A(<span>90°) = 16 square inches</span>
