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Solnce55 [7]
3 years ago
12

A square number and a multiple of 3 have a total of 90 what r the 2 numbers

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Hello,

Let's x² the square number

and 3*y the multiple of 3.

x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\

2 solutions : for (x,y) as integers : (-6,18) and (6,18)

but one solution for (x²,3y) as integers :<u> (36,54) </u>

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▹ Answer

<em>12/35</em>

▹ Step-by-Step Explanation

\frac{4}{5} * \frac{3}{7} \\\\= \frac{12}{35}

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

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The values of x and y vary directly
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Answer:

y = (1/4)x

Step-by-step explanation:

"Direct variation" here signifies y = kx, where k is the constant of proportionality.

Then y = kx.  Here we are to find k using the info that x = 12 and y = 3:

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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 with this No LINKS and please explain to get brainliest and also no inappropriate answers
Alex787 [66]

Answer:

Range: 22

Median: 79

Mode: 80

Step-by-step explanation:

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