Answer:
67.97
Step-by-step explanation:
let AC be length of ladder and BC be distance between ladder and wall and angle be theta
Now,
costheta=BC/AC
THETA =COS^-1(3÷8)
THETA=COS^-1(0.375)
THETA=67.97 DEGREE
Answer: 13/20 of the video games at both of their houses.
Step-by-step explanation: The equation is 1/4 + 2/5. You need to find their common denominator which is 20, so the equation is now 5/20 + 8/20 = 13/20, which can't be simplified.
Answer:
5/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
We can simplify this fraction down further by divide both numerator and denominator by 2:
10/2 = 5
12/2 = 6
5/6 will be equivalent to 10/12
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
6.70m/s
Step-by-step explanation:
Speed = distance/time
Given the winner covered a distance of 26m in time of 3.88 seconds
Therefore
Speed = 26/3.88
= 6.70m/s
