Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
Answer:
75.76% probability that there will be 10 or more customers at this bank in one hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A bank gets an average of 12 customers per hour.
This means that 
Find the probability that there will be 10 or more customers at this bank in one hour.
Either there are less than 10 customers, or there are 10 or more. The sum of the probabilities of these events is 1. Then
We want 
Then
In which
So
Then
75.76% probability that there will be 10 or more customers at this bank in one hour.
Answer:
54 gallons
Step-by-step explanation:
Let x represent the volume of the full tank.
When the water tank is 30% full;
= 30% of x = 0.30x
when it is 20% empty:
= x - 20% of x = x - 0.20x = 0.80x
The difference is given as 27.
So, we can represent the question on an equation as;
0.80x - 0.30x = 27
Solving the equation, we have;
0.50x = 27
x = 27/0.50
x = 54 gallons
The tank can hold 54 gallons when it is full.
