Answer:
Step-by-step explanation:
Step-by-step.
30255.5=a90.75
Step 1: Cross-multiply.
30255.5=a90.75
(3025)*(90.75)=a*(5.5)
274518.75=5.5a
Step 2: Flip the equation.
5.5a=274518.75
Step 3: Divide both sides by 5.5.
5.5a5.5=274518.755.5
a=49912.5
Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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Answer:
4m
Step-by-step explanation:
The opposite side length is 10m. 10 minus the 6m you already have on the y side is 4m. 10 - 6 = 4