Answer: The distance between (30,24) and (1,21) is about 29.15 units
Step-by-step explanation: It may help to sketch the points on a graph to see where they are, and get an idea of the shape of the right triangle that would be formed. The distance between the points is the hypotenuse of the triangle, so the Pythagorean Theorem will solve for the distance.
a² + b² = c²
24-21= 3 30-1=29 These are the lengths of sides a & b
3² = 9 29²= 841 9 + 841 = 850 The square root of 850 will be the length of side c, the hypotenuse.
Round to the nearest hundredth: 29.15
Answer:
Fouls > Average Fouls
Step-by-step explanation:
Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5
Alternate Hypothesis [ H1 ] : Fouls > Average Fouls
t = ( x - u ) / ( s / √n )
where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34
So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 / ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55
t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'
Answer:
a. 0.9
b. 0.024
c. 0.06
d. 0.2
e. 0.336
Step-by-step explanation:
Since A, B and C are mutually exclusive then P (A U B U C)=P(A)+P(B)+P(C) and P(A∩B∩C)=P(A)*P(B)*P(C).
a.
P (A U B U C)=P(A)+P(B)+P(C)
P (A U B U C)=0.2+0.3+0.4=0.9
b.
P(A∩B∩C)=P(A)*P(B)*P(C)
P(A∩B∩C)=0.2*0.3*0.4=0.024
c.
P(A∩B)=P(A)*P(B)
P(A∩B)=0.2*0.3=0.06
d.
P[(AUB)∩C]=P(AUB)*P(C)
P(AUB)=P(A)+P(B)=0.2+0.3=0.5
P[(AUB)∩C]=0.5*0.4=0.20
e.
P(A')=1-P(A)=1-0.2=0.8
P(B')=1-P(B)=1-0.3=0.7
P(C')=1-P(C)=1-0.4=0.6
P(A'∩B'∩ C')=P(A')*P(B')*P(C')
P(A'∩B'∩ C')=0.8*0.7*0.6=0.336
Answer: The answer is A
Step-by-step explanation: Apex
