Answer: ¢=68.2
Step-by-step explanation:
y(t) = 2sin4πt + 5cos4πt
Let , x = Asin¢ = 5
y = Acos¢ = 2
A = sqrt(5²+2²)
A= 5.39
y(t) = Acos¢sin4πt + Asin¢cos4πt
From Trigonometry rule,
y(t)= Asin(wt +¢)
tan¢ = 5/2
¢ = arctan(5/2) = 68.2°
y(t) = 5.39sin(wt + 68.2)
Where w = 4π
The angle ¢= 68.2°
Okay. When it comes to multiplying decimals, you multiply them just like you would do whole numbers. However, solving them by paper, you would add a decimal point into the answer, depending on how many numbers are behind the decimal point in the numbers being multiplied. In this case, the decimal point will go in front of two numbers, because there are two numbers behind the decimal point in -1.2 and 0.4. Know that the answer will be negative, because there is one negative and one positive number.
Multiply both numbers. -1.2 * 0.4 is -0.48. There. The product is -0.48.
Answer:
See below
Step-by-step explanation:
We can make a the number of days and y the number of workers
Since we were told there is an inverse relationship between the days required to build the house and the number of workers required, then,
The equation would be
y = k/x
Here, y is inversely proportional to x and k is the constant proportionality
So, out required equation would be
a = k/n
Fixing the values, we'll have
55 = k/8
k = 55 × 8
k = 440
The number of days required to build a similar house with 5 workers will now be
= 440/5
= 88 days
Answer:
That means that there´s a 0.01 of probability that the student is guessing.
Remember that the significance level is related to the strength of the evidence before rejecting the null hypothesis. The Significance level is the probability of rejecting the null hypothesis if it is true.
For example if the significance level is 0.03 it will indicate that there is a 3% of probability that students are guessing.
Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
So we can say that the teacher needs more evidence before rejecting the null hypothesis.