Answer: 18.86 feet
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = πD
Where D represents the diameter of the circle.
The circumference of the inner circle is 44 ft. It means that
22/7 × D = 44
22D = 7 × 44 = 308
D = 308/22
D = 14 ft
The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be
14 + 3 + 3 = 20 ft
Circumference of the outer circle is
22/7 × 20 = 62.86 ft
The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is
62.86 - 44 = 18.86 feet
Answer:
20,2,0,-4,-.0625
Step-by-step explanation
3*-4=-12
depending on which side its on you can multiply or divide by -4
K= -4
Answer:
Step-by-step explanation:
There are 16 cups in a gallon
Answer:
Step-by-step explanation:
Solution by substitution method
3x+5y=7
and 4x-y=5
Suppose,
3x+5y=7→(1)
and 4x-y=5→(2)
Taking equation (2), we have
4x-y=5
⇒y=4x-5→(3)
Putting y=4x-5 in equation (1), we get
3x+5y=7
⇒3x+5(4x-5)=7
⇒3x+20x-25=7
⇒23x-25=7
⇒23x=7+25
⇒23x=32
⇒x=32/23
→(4)
Now, Putting x=32/23
in equation (3), we get
y=4x-5
⇒y=4(32/23)-5
⇒y=(128-115)/23
⇒y=13/23
∴y=13/23 and x=32/23
Complete question :
Birth Month Frequency
January-March 67
April-June 56
July-September 30
October-December 37
Answer:
Yes, There is significant evidence to conclude that hockey players' birthdates are not uniformly distributed throughout the year.
Step-by-step explanation:
Observed value, O
Mean value, E
The test statistic :
χ² = (O - E)² / E
E = Σx / n = (67+56+30+37)/4 = 47.5
χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295
Degree of freedom = (Number of categories - 1) = 4 - 1 = 3
Using the Pvalue from Chisquare calculator :
χ² (18.295 ; df = 3) = 0.00038
Since the obtained Pvalue is so small ;
P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year.
