Answer:
Test Statistic = 10
Critical Value = 9.488
Step-by-step explanation:
Given :
Grade A _ B _ C _ D _ F
_____14 _ 18 _32_ 20_16
H0 : distribution of grade is uniform
H1 : Distribution of grade is not uniform
Using the Chisquare statistic :
χ² = (observed - Expected)² / Expected
The expected value :
(14+18+32+20+16) / 5 = 20
χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20
χ² statistic = 10
The χ² critical at df = (n - 1) = 5 - 1 = 4
χ² Critical(10, 4) = 9.488
Answer:
Quotient is
and remainder is 0.
Step-by-step explanation:
Given:
Dividend = 
Divisor = 
The long division is shown in the attachment.
Step 1: we need to divide
with
we first multiply
with 3x we get the remainder as 
Quotient as 3x.
Step 2: Now the dividend is
and divisor
now we will multiply
with -5 we get the remainder as 0 and Quotient as 
Hence Quotient is
and remainder is 0.
Answer:
x = 25
The lengths form a pythagorean triple
=========================================================
Explanation:
Use the pythagorean theorem to get the following

Since we end up with a whole number, we do form a pythagorean triple of 15,20,25 or you can write it as 15-20-25
A pythagorean triple is where a,b,c are all integers that satisfy the pythagorean theorem above.
This is not a primitive pythagorean triple because we could divide all three values by the GCF 3 to get the triple 3-4-5. The keyword for this paragraph is "primitive".
Answer:
4/11 would b 0.363636363636364 So I would take the answer to be 0.36
Step-by-step explanation: