Answer:
9,750 and 0.0000084
Step-by-step explanation:
9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)
8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)
Answer:
80
Step-by-step explanation:
1/3 of 120 is 40
If 40 leave
People left in party=120-40=80
Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
Answer:
a) No.
b) Yes.
c) Yes.
Step-by-step explanation:
a) No.
As being without replacement, the probabilities of each color in each draw change depending on the previous draws.
This is best modeled by an hypergeometric distribution.
b) Yes.
As being with replacement, the probabilities for each color is constant.
Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.
(With more than two colors, it should be "red" and "not red", allowing only two possibilities).
c) Yes.
The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.
Point A is on the 4th circle from the center, each circle has a radius of 1, so the 4th circle has a radius of 4. The point is also on the angle labeled 5PI/6.
The polar coordinate would be (4, 5PI/6)
Point C, you are given (-3,pi/3)
Because the radius is positive find the 3rd circle, which would be r = 3, Then find where PI/3 is on the circle and find the value opposite that which is 4pi/3