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3 years ago

which unit of measure would be appropriate for the volume of a cylinder that is 8 meters and has a radius of 4 meters

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

The unites to measure the volume of an object is what ever units you’re using cubed

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What is 1.0836 rounded to the nearest thousandth

sp2606 [1]

1.084 because it goes tenths hundredths thousands

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3 years ago

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Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

$f(x)=e^{-x}$

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

$P(T>2)=e^{-2}=0.1353$

For b)

$P(T\geq 10/T>9)$

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

$P(T\geq 10/T>9)=P(T\geq 1)$

$P(T\geq 1)=1-P(T$

$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

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2 years ago

• How do you write the mixed number shown as a fraction greater than l? 3 4

Firdavs [7]

Answer:

$\frac{14}{4}$

simplified $\frac{7}{2}$

Step-by-step explanation:

To turn a mixed number into a fraction :

$3\frac{ + 2}{ \times 4}$

3 x 4 =12 +2 =14 that will be your numerator (top number on a fraction)

and 4 will be your demoninator (bottom number)

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2 years ago

The figure below is made of two identical triangular prisms. What is the volume of the figure?

lubasha [3.4K]

Answer:

A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions.

V = BH (Base x Width) of a triangular its 1/2BH

The base is 10 x 5, 50 is the base.

The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.

The total volume is 300 inches squared.

Step-by-step explanation:

3 0

3 years ago

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Write the point-slope equation oft line that goes through (1, -1) with slope of -5.

Sever21 [200]

Answer:

y+1=-5(x-1)

Step-by-step explanation:

We need to find the slope intercept form first. So far we have this: y=-5x+b. We could plug in the x value and y value to get this : -1=-5(1)+b. b=4. Now we have the slope intecept form: y=-5x+4, and we could turn it into point slope form.

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2 years ago