Answer:
width =5.5ft
length =18
Step-by-step explanation:
w=x
L=2x+7
area=w*L
99 = x(2x+7)
2x(x+9)-11(x+9)=0
(2x-11)(x+9)=0
2x-11=0
2x=11
x=11/2
x=5.5
L=2x+7=2*5.5+7=11+7=18
Step-by-step explanation:
As you have done till
3p + 8 = 20
3p = 20 - 8
3p = 12
p = 12 / 3 = 4
Answer:
The car is going up at a speed of 22.5 mph
Step-by-step explanation:
In this question, we are asked to calculate the speed of a moving car which started moving at an initial velocity for a specific period of time.
To calculate this, we use one of the basic equations of motion;
v = u + at
Where v is the final velocity, u is the initial velocity and t is the time
From the question, we can identify the parameters as follows;
v = ?
u = 10mph
a = 2.5t mph per second for 5 seconds.
Hence a here would be 2.5 * 5 = 12.5
Now, let’s put these values in the equation
v = 10 + 12.5
v = 22.5 mph
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2 = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
=0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
=0.016564
alternatively=1-poisson(5,2,1)
=0.016564
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute the values in the formula
