30%off means he is paying 70%of regular price
0.7(85+h)=74.90
Answer:
Option 1 and 4
Step-by-step explanation:
This can be broken down into 2 "pyramids" with rectangular base.
Volume:
2[⅓ × 9×1.5 × 5]
= 45 units³
Answer:
A. 94.37 seconds
B. 0.48 seconds
Step-by-step explanation:
Total distance = 50 meters
First trial = 32.15 seconds
Second trial = 31.67 seconds
Third trial = 30.55 seconds
A. What is Todd's combined time for all three trials
Todd's combined time for the three trials = First trial + Second trial + Third trial
= 32.15 seconds + 31.67 seconds + 30.55 seconds
= 94.37 seconds
B. How much faster was Todd's second trial than his first trial?
Second trial = 31.67 seconds
First trial = 32.15 seconds
Time taken for first trial - Time taken for second trial -
= 32.15 seconds - 31.67 seconds
= 0.48 seconds
Todd's second trial was 0.48 seconds faster than his first trial
Answer:
x ≈ 49.7°
Step-by-step explanation:
Since, the given triangle is an isosceles triangle,
Two sides having measure 17 units are equal.
Opposite angles of these equal sides will be equal.
Measure of the third angle = 180° - (x + x)°
By sine rule,
![\frac{\text{sinx}}{17}=\frac{\text{sin}(180-2x)}{22}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsinx%7D%7D%7B17%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%28180-2x%29%7D%7B22%7D)
[Since, sin(180 - θ) = sinθ]
![\frac{\text{sinx}}{17}=\frac{2(\text{sin}x)(\text{cos}x)}{22}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsinx%7D%7D%7B17%7D%3D%5Cfrac%7B2%28%5Ctext%7Bsin%7Dx%29%28%5Ctext%7Bcos%7Dx%29%7D%7B22%7D)
![\frac{\text{sinx}}{17}=\frac{(\text{sin}x)(\text{cos}x)}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsinx%7D%7D%7B17%7D%3D%5Cfrac%7B%28%5Ctext%7Bsin%7Dx%29%28%5Ctext%7Bcos%7Dx%29%7D%7B11%7D)
![\frac{1}{17}=\frac{(\text{cos}x)}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B17%7D%3D%5Cfrac%7B%28%5Ctext%7Bcos%7Dx%29%7D%7B11%7D)
cos(x) = ![\frac{11}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B17%7D)
x = 49.68°
x ≈ 49.7°
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.