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Sophie [7]
3 years ago
5

-3/8 divided -1/4 what is the quotient ?

Mathematics
2 answers:
denis-greek [22]3 years ago
7 0

Answer:

3/2

Step-by-step explanation:

-3/8 ÷ -1/4

Reciprocal the second fraction.

-3/8 × -4/1

Multiply the fractions.

(-3×-4)/(8×1)

12/8

The quotient of the division is 12/8, simplified to 3/2.

sweet [91]3 years ago
4 0

Answer:

the answer is 12/8

Step-by-step explanation:

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A microscope shows you an image of an object that is 20 times the objects actual size. Therefore, the scale factor of the enlarg
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We just have to multiply 20 by 10mm, which is 200mm. 100mm is equal to one centimeter, so the body length of the insect under the microscope is two centimeters.
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3 years ago
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an athlete jumps these 4 distances in a long jump competition. which jump does NOT round to 4.7 meters?
Len [333]

Answer:

3rd jump: 4.642 rounds down to 4.6

6 0
2 years ago
If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
3 years ago
Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
3 years ago
Are they right??? <br><br> Due tomorrow
DedPeter [7]
Yes they are right you did a great job!
8 0
3 years ago
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