36/4 = 9 per hat
56/7 = 8 per hat
no, they are not equivalent
Area of a square equals side squared
(A = s²)
30 = s²
√30 = s
You can use a calculator to find out that √30 ≈ 5.48
or you can use estimation (√25 < √30 < √36) which means that √30 is between 5 and 6.
Answer:
The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.
Step-by-step explanation:
Given:
Total number of math and psychology textbooks sold in a week is 402.
Now, let the number of math textbooks sold be
.
And, the number of psychology textbooks be
.
According to question:


Dividing both sides by 3 we get:

So, total number of math textbooks were 134 .
And, total number of psychology textbooks were 
.
Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.
Answer:
<em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x 26 32 29 16 45 19
mean of the sample

Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x : 26 32 29 16 45 19
x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83
(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689
∑ (x-x⁻)² = 534.8245
Given sample size 'n' =6
The variance of given data
S² = ∑(x-x⁻)² / n-1

The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data

Standard deviation of the sample = 10.3423
What is the question?
I'm assuming it is to find the length and width.
+_= plus or minus
(X+36)
____________
| |
(X) | |
|____________|
X^2+36X-2040<0
X<-36+_(36^2-4*-2040)^(1/2)
-----------------------------------
2
X<-18+_2((591)^(1/2))
This is probably not what you wanted, sorry