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2 years ago

Ralph is making orange juice.

Mathematics

1 answer:

devlian [24]2 years ago

6 0

D. 24 oz because 1cup is equal to 8 fluid ounces so in order to make 3 cups you have to multiply 3 by 8 which equals to 24

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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

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

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

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

4 0

3 years ago

Please help me, thank you

Pavel [41]

Answer:

the answer is -3. Your welcome

4 0

3 years ago

I need help with this promblem it’s ALGEBRA 2!

AlekseyPX

Answer:

$(f\circ h)(2)=2$

Step-by-step explanation:

<u>Composite Function </u>

Given f(x) and h(x) real functions, the composite function named $(f\circ h)(x)$ is defined as:

$(f\circ h)(x)=f(h(x))$

It can be found by substituting h into f.

We are given the functions:

$f(x)=2x^2-9x+2$

$h(x)=x^2-4$

It's required to find $(f\circ h)(2)$

As defined above:

$(f\circ h)(x)=f(h(x))$

Thus:

$(f\circ h)(2)=f(h(2))$

Find h(2):

$h(2)=2^2-4=0$

h(2)=0

Now:

$(f\circ h)(2)=2(0)^2-9(0)+2$

$(f\circ h)(2)=2$

8 0

3 years ago

Can someone help me with this question

Vera_Pavlovna [14]

Answer:

200 kids

Step-by-step explanation:

4 0

3 years ago

I need help please what is the x

ANEK [815]

Answer:

x=4

Step-by-step explanation:

well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4

7 0

3 years ago