The answer is 223
P.S I did the math by using PEMDAS
Answer:
a

b
The nutritionist does not have sufficient evidence to reject the writers claim
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation 
The level of significance is 
Now the
Null Hypothesis is 
Alternative Hypothesis is 
generally the degree of freedom is mathematically represented as



For a significance level of 0.05 and 19 degrees of freedom, the critical value for the t-test is 2.093. This is obtain from the t-distribution table
The test statistic is mathematically evaluated as

substituting values


Since the test statistic is below the critical value then the Null hypothesis can not be rejected
So we can conclude that the nutritionist does not have sufficient evidence to reject the writers claim
Answer:
1/4,1
Step-by-step explanation:
Answer:
The area of the parallelogram is
.
Step-by-step explanation:
Let's rewrite these two vectors:

Let's recall that the area of the parallelogram is the magnitude of the cross product between these vectors.
We can use the Determinant method to find it.
![u \times v=\left[\begin{array}{ccc}i&j&k\\1&-2&2\\0&3&-1\end{array}\right] = i((-2)*(-1)-2*3)-j(1*(-1)-2*0)+k(1*3-(-2)*0)=i(2-6)-j(-1)+k(3)=-4i+j+3k](https://tex.z-dn.net/?f=u%20%5Ctimes%20v%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%26-2%262%5C%5C0%263%26-1%5Cend%7Barray%7D%5Cright%5D%20%3D%20i%28%28-2%29%2A%28-1%29-2%2A3%29-j%281%2A%28-1%29-2%2A0%29%2Bk%281%2A3-%28-2%29%2A0%29%3Di%282-6%29-j%28-1%29%2Bk%283%29%3D-4i%2Bj%2B3k)
Now, the magnitude is the square root of each component squared. It will be:

Therefore the
.
I hope it helps you!
Answer:
Amount earn by Maya for teaching English in 5 hour = $200
Step-by-step explanation:
Given:
Amount Maya earn in 1 hour for teaching English = $40
Find:
Amount earn by Maya for teaching English in 5 hour
Computation:
Assume;
Per hour earning = E
Number of total hour = h
Total earning = Per hour earning x Number of total hour
Total earning = (E)(h).
So,
Amount earn by Maya for teaching English in 5 hour = 5 x 40
Amount earn by Maya for teaching English in 5 hour = $200