Answer:
1. $-50
2. $25
Step-by-step explanation:
1. If she had $150 in her bank account and bought a bike for $200, then that means she spent all of her money PLUS $50 extra then what she had. That means $200-$150=$50. Her $150 is spent and that $50 becomes negative because she paid $200 when she only had $150.
2. If she deposits $75 in her account then it will be $75+(-50). That translates to $75-$50 which is $25.
+ and - = -
+ and + = +
- and - = +
Answer:
80.56
Step-by-step explanation:
To find the rectangle area you just multiply its length by its width:
17 * 4 = 68
You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula: 
Since the radius (r) is 2 and
is 3.14, you have the following equation:
A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 <em>(A is Area)</em>
Sum the rectangle's area with the circle's area:
12.56 + 68 = 80.56
And vuoila! there's your answer.
The length of the arc is 4π.
<u>Step-by-step explanation</u>:
Given,
- Diameter = 24 ft
- radius, r = diameter/2
- r = 24/2 = 12 ft
- central angle, ∅ = 60°
Arc length = ∅/360° (2πr)
⇒ 60°/360° (2π
12)
⇒ 24π/6
⇒ 4π
∴ The length of the arc is 4π.
Answer:
1.732
Step-by-step explanation:
You are given that claims are reported according to a homogeneous Poisson process
LetX be the waiting time from 0 to second claim
X is Poisson with averageof 3 hours.
We know in a Poisson distribution the mean = variance
Hence average waiting time = mean = 3
This will also be equal to var(x)
Var(x) = mean of Poisson distribution= 3
Hence standard deviation = square root of variance
=