Answer:
1 and 111 only
Step-by-step explanation:
The goodness of fit test is used to examine if there is significant evidence to say thatvthe observed and expected freqencies are from the desired distribution.
Condituis required for performing a goodness of fit test on a data include :
Randomness, sampled Data must have been chosen at random in other to be representative, here, randomness isn't exhibited as Pasquale used more of convenient sampling questioning the first 40 students.
Also, the expected value of the number of sample observation in each level of the variable should be atleast 5.
This is also violated, as the expected values for some of the levels are less than 5
Hence, conditions 1 and 111 are not met
Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14
Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre = 
Centre (h, k) = (3 , 5)
<u><em>Step(ii):-</em></u>
The distance of two end points
PQ = 

PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
<u><em>Final answer:-</em></u>
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0
Answer:
There is one solution
Step-by-step explanation:
15x+11=8x
Subtract 15x from each side
15x-15x +11 = 8x-15x
11 = -7x
Divide by -7
11/-7 = -7x/-7
-11/7 =x
There is one solution
Answer:
-5 1/x4
Step-by-step explanation: