Answer:
76 balls and 24 bats
Step-by-step explanation:
Set up a system of equations where x is the number of balls and y is the number of bats:
x + y = 100
4.5x + 20y = 822
Solve by elimination by multiplying the top equation by -20, then combine the equations together:
-20x - 20y = -2000
4.5x + 20y = 822
-15.5x = -1178
x = 76
Then, plug in 76 as x in the first equation to solve for y:
x + y = 100
76 + y = 100
y = 24
So, 76 balls and 24 bats were purchased.
B
Because 2 sqrt5 is = to sqrt 20.
4^2=16, 6^2=36
Answer:
The value of the parameter is λ is 0.03692
Step-by-step explanation:
Consider the provided function.
for −∞ < x < ∞.
It is given that standard deviation is given as 38.3 km.
Now we need to calculate the value of parameter λ.
The general formula for the probability density function of the double exponential distribution is: 
Where μ is the location parameter and β is the scale parameter.
Compare the provided equation with the above formula we get.
and μ = 0.
Standard deviation = √2β
Now substitute the value of β in .
Hence, the value of the parameter is λ is 0.03692
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
Answer:
Step-by-step explanation:
As we can see it is a right angled triangle so
hypotenuse (h) = 14 . 7 km
perpendicular (p) = 11.9 km
base (b) = x
Now by using Pythagoras theorem
Hope it was helpful.:)
