= 0.8333....
<u>Step-by-step explanation:</u>
Here 6 is the divisor and 5 is the dividend, and 5 is lesser than 6, so in the quotient we have to put 0 then a decimal point and 0 along with 5, so the dividend becomes 50, 8 times 6 is 48, 50 - 48 = 2, then add one more 0 with 2, so it becomes 20, 3 times 6 is 18 again, 2 is the remainder and this process is going on. So the quotient is 0.8333...
So = 0.8333....
Answer:
Raul's age is 15 years.
Step-by-step explanation:
r represents Raul's age.
The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less than three times Raul's age.
The first presidential election happened 39 years after the Great Depression and six years less than three times Raul's age is 3r - 6.
Therefore, 3r - 6 = 39
Add 6 to both sides.
3r = 45
Divide both sides by 3.
r = 15
Hence, Raul's age is 15 years.
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
Bottom one
<u>-8</u><u><</u><u>-4</u>
Step-by-step explanation:
You might want to put less points
Answer:
The mean and the standard deviation of the sampling distribution of the number of students who preferred to get out early are 0.533 and 0.82
Step-by-step explanation:
According to the given data we have the following:
Total sample of students= 150
80 students preferred to get out 10 minutes early
Therefore, the mean of the sampling distribution of the number of students who preferred to get out early is = 80/150 = 0.533
Therefore, standard deviation of the sampling distribution of the number of students who preferred to get out early= phat - p0/sqrt(p0(1-p)/)
= 0.533-0.5/sqrt(0.5*0.5/15))
= 0.816 = 0.82
