Answer:
No
Step-by-step explanation:
As you probably know, triangles have 3 sides. The longest side is called the hypotenuse. In this case, the hypotenuse is 10.3. Now, you might or might not know the pythagorean theorem, which states that the <em>a² + b² =c ². </em>
In this case, we can say that 4.4 is <em>a </em>and 8.3 is <em>b. </em>Now if we square 4.4 and add it to 8.3 squared, we get 88.25. However, if you square 10.3, you get 106.09. Thus, the values cannot be this way. So, your answer is no.
See attachment, I have solved the prob. there
Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both and the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 36
The sample mean is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
So
The p-value obtained from the z- table is
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior
Answer:
25
Step-by-step explanation: