4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
1
Step-by-step explanation:
Follow the signs rule:
IF:
There is a + sign, and the number directly next is +, add
There is a + sign, and the number directly next is -, subtract
There is a - sign, and the number directly next is +, subtract
There is a - sign, and the number directly next is -, add
In this case, there is a plus sign, and a negative sign, therefore, subtract:
5 + (-4) = 5 - 4 = 1
1 is your answer.
~
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is
.
Step-by-step explanation:
It is provided that:
- Eric throws a biased coin 10 times. He gets 3 tails.
- Sue throw the same coin 50 times. She gets 20 tails.
The probability of tail in both cases is:
(1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

Thus, the probability that Aadi will get Tails is
.
16,000 is your answer :)
look next to the 6. Since it is less than 5, you do nothing to the 16 part and turn the rest to 0's.
Ya
compound interest
A=P(1+r)^t
A=amount final
P=principal
r=rate in decimal
t=time in yers
so
interest is 9.5% or 0.095
principal is 10000
time is 3 years
A=10000(1+0.095)^3
A=10000(1.095)^3
A=13129.323
rounded
he owes $13129.32