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3 years ago

find three numbers whose sum is 32 if the second is 1 more than the first and the first is 4 less than the third

1 answer:

7 0

X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13

Hope this helps :)

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krok68 [10]

2x-y=7
y=2x+3
Substitute (2x+3) in for y in the first equation
2x-(2x+3)=7
2x-2x-3=7
-3=7
Becuase -3 does not equal 7 the answer is no solution

4 0

3 years ago

miskamm [114]

The correct answer is 3*4=12/6=2+2=4

Your answer is 4

4 0

3 years ago

Elanso [62]

Answer:

Step-by-step explanation:

6 0

2 years ago

yuradex [85]

I suppose the density is supposed to be

$f(x)=\begin{cases}\frac k{x^4}&\text{for }x\ge1\\0&\text{otherwise}\end{cases}$

(since $kx^4$ diverges as $x\to\infty$ , and 0 is conveniently left out of the domain)

For this to be a proper density function, it must be positive (it is) and its integral over the support $[1,\infty)$ must evaluate to 1. We have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_1^\infty\frac k{x^4}\,\mathrm dx=-\frac k{3x^3}\bigg|_1^\infty=\frac k3=1$

which means $k=3$ .

The distribution function is obtained by integrating the density:

$F(x)=\displaystyle\int_{-\infty}^xf(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

The probability that the component exceeds 2 years in its lifetime is

$P(X>2)=1-P(X\le 2)=1-F(2)=1-\left(1-\dfrac18\right)=\dfrac18$

3 0

3 years ago

Paul [167]

The area would be 324 yards square. Since the height is already found, you multiply 15 by 21 2/3 yards.
Hope this helped :)

6 0

3 years ago