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Leni [432]
3 years ago
11

Need help with this question

Mathematics
1 answer:
Naddik [55]3 years ago
4 0
Easiest way to graph the line is to connect the intercepts.

-50x - 3y = -1500
-3y = 50x - 1500
y = (-50/3)x + 500
y intercept (0, 500)

-50x - 3(0) = -1500
-50x = -1500
x = 300
(300, 0)

make a line that goes through the points (0, 500) and (300, 0)
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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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3 years ago
Adam is subtracting 708 – 10 mentally. He thinks
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Find an equation of a line that comes close to the points listed in the table.
sergey [27]
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What is the exact volume of the sphere?. . A.. 463.01 m3. . B.. 147.456 m3. . C.. 96.46 m3. . D.. 36.868 m3
Yakvenalex [24]
The volume of the sphere : ( r = 4.8 m )
V = 4/3 r³ π = 4/3 · ( 4.8 m )³ · 3.14 = 4/3 · 110.592 · 3.14 = 463.01 m³
Answer: A ) 463.01 m³
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2072" id="TexFormula1" title="\sqrt{x} 72" alt="\sqrt{x} 72" align="absmiddle"
AveGali [126]

Answer:

Step-by-step explanation:

√x^72 = √(x^36)^2 = x^36

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