Speedy Cab Company uses the following to determine fares:

Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs

omeli [17]

(300-99) /3 - the remainder =n

6 0

4 years ago

Read 2 more answers

The Clark family and the Lee family each used their sprinklers last summer. The water output rate for the Clark family's sprinkl

SpyIntel [72]

Each where used for 25 hours

6 0

3 years ago

Read 2 more answers

A circular pool if filling with water. Assuming the water level will be 4' deep and the diameter is 20' , what is the volume of

Yuliya22 [10]

35,569.92 L of water is required to fill the pool

Step-by-step explanation:

Step 1: Find the area of the circular pool when radius = 20/2 = 10 ft

⇒ Area = πr² = 3.14 × 10² = 314 ft²

Step 2: Find the volume of the pool

Volume = Area × Depth

= 314 × 4 = 1256 ft³

Step 3: Convert the volume into liters.

Volume of water = 1256 × 28.32 = 35,569.92 L (∵1 ft³ = 28.32 L)

8 0

3 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$