Answer:
Hello some parts of your question is missing below is the missing part
answer : A) p-value = 0.0019 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Step-by-step explanation:
A) using a 0.05 level of significance and test for independence of the quality of management
Test statistic :
∑ ( Oi - Ei )^2 / Ei
= [(40-35)^2 / 35 ] + [(25-24.5)^2 / 24.5 ] + [(5-10.5)^2 / 10.5] + [(35-40)^2 / 40] + [(35-28)^2 / 28] + [(10-12)^2 / 12] + [ (25-25)^2 / 25 ] + [(10-17.5)^2 / 17.5 ] + [(15-7.5)^2 / 7.5] = 17.03
p-value = 0.0019
Df = 4 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Answer:

Step-by-step explanation:
we know that
A difference of cubes can be factored like this

In this problem we have

we know that

and

Let


substitute

Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
Answer:15 each. that's a lot.
2 boxes of treats is 420 treats
420 treats / 28 dogs is also 15 treats per dog
Step-by-step explanation: