If I am reading the equation correctly, I do not believe it has a solution.
Answer:
12.8 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angles and sides of a right triangle. Here, you have the side opposite the given 70° angle, and you want to find the hypotenuse. The appropriate relation is ...
Sin = Opposite/Hypotenuse
Solving for the hypotenuse, we get ...
Hypotenuse = Opposite/Sin
x = (12 cm)/sin(70°) ≈ 12.77 cm
x ≈ 12.8 cm
Step-by-step explanation:
A.) Correct Answer: 12%
Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )
As we know that ,
Rate =SI × 100Principal × Time
Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)
B.) Correct Answer:
Answer:
There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 610
p = 23.8% = 0.238
Alpha, α = 0.01
Number of 18-24 year-old attending college , x = 178
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0009
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.
Conclusion:
Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%