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3 years ago

Compare 1⁄2 with 3⁄4 using ( <, >, =). A. 1⁄2 = 3⁄4 B. None of the above C. 1⁄2 < 3⁄4 D. 1⁄2 > 3⁄4

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

1/2 is less than 3/4. So 1/2 < 3/4

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A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the

rusak2 [61]

(553-265)/48=6
6 hours spent repairing the car

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3 years ago

The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years

kompoz [17]

Answer:

The correct answer is " $0.300993e^{-0.300993x}$ ".

Step-by-step explanation:

According to the question,

⇒ $P(x>4)=0.3$

We know that,

⇒ $P(X > x) = e^{(-\lambda\times x)}$

⇒ $e^{(-\lambda\times 4)} = 0.3$

∵ $\lambda = 0.300993$

Now,

⇒ $f(x) = \lambda e^{-\lambda x}$

By putting the value, we get

$=0.300993e^{-0.300993x}$

3 0

3 years ago

The cost of buying 1 DVD is $19.99. The cost of buying 1 CD is

Mama L [17]

Answer: The Total $110

Step-by-step explanation:

I hope this is what you are looking for

6 0

2 years ago

Mixed number or a whole number improper<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20" id="TexFormula1" title="

erastova [34]

3/2 is an improper fraction.
To make it a mixed number you have to divide 3/2 to see how many times 2 fits into 3. 2 fits into 3 one time. So you write one and next to it, the remainder becomes the numerator and 2 stays in the denominator.
1 1/2 is the mixed number of the fraction.

6 0

3 years ago

AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 fe

Vitek1552 [10]

Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now (x₁, y₁) = (95, 156) and (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now (x₁, y₁) = (0, 0) and (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel = d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet

7 0

3 years ago