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3 years ago

The formula p = 2i + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width.

Mathematics

2 answers:

marshall27 [118]3 years ago

7 0

Answer:

$\boxed{i=\dfrac{P-2w}{2}=\dfrac{P}{2}-w}$

Step-by-step explanation:

l - length

w - width

$2l+2w=P\qquad\text{subtract 2w from both sides}\\\\2l-2w-2w=P-2w\\\\2l=P-2w\qquad\text{divide both sides by 2}\\\\\boxed{l=\dfrac{P-2w}{2}}\\\\or\\\\l=\dfrac{P}{2}-\dfrac{2w}{2}\\\\\boxed{l=\dfrac{P}{2}-w}$

Sophie [7]3 years ago

3 0

p = 2i + 2w

Subtract 2w from each side:

p-2w = 2i

Divide both sides by 2:

p-2w / 2 = i

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Murljashka [212]

Answer:

Step-by-step explanation:

8 times 9 is 72

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2 years ago

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

$P(X = 2) = 0.441$

$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

$P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}$

In which p is the probability that the event happens.

$pe_{n,x},$ is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

$pe_{n,x} = \frac{n!}{x!}$

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

$P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027$

$P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189$

$P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441$

$P(X = 3) = (0.7)^{3} = 0.343$

5 0

3 years ago

What is 25 and -2 1/5

ICE Princess25 [194]

6/962...............................................

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3 years ago

There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of mil

lara [203]

Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$

8 0

3 years ago

Read 2 more answers

HELP ASAP PLZ :)

Natalija [7]

for the triangle...

b=2h

a=(1\2).bh=648

(1/2).2h.h=648

h2=648

h-18|2 in

h=36|2 in

for the rectangle...

L=3+w

a=l+w=648

{3+w}w=648

w2+3w-648=0

Only positive W values make sense here..

w-24=0

w=24 in

So..

L=3+24

3 0

3 years ago