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ElenaW [278]
4 years ago
10

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 

Mathematics
2 answers:
MrRissso [65]4 years ago
5 0
Use elimination to solve by cancelling the ys
Mashcka [7]4 years ago
3 0
8x - y = 54
8x + 2y = 60

subtracting, we get -3y = -6
y = 2
x = 7

Answer is (c) (7,2)
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A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two
Vikentia [17]

Answer:

the probability of no defects in 10 feet of steel = 0.1353

Step-by-step explanation:

GIven that:

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.

Let consider β to be the average value for defecting

So;

β = 2

Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.

Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2

i.e

Y \sim P( \beta = 2)

the probability mass function can be represented as follows:

\mathtt{P(y) = \dfrac{e^{- \beta} \ \beta^ \ y}{y!}}

where;

y =  0,1,2,3 ...

Hence,  the probability of no defects in 10 feet of steel

y = 0

\mathtt{P(y =0) = \dfrac{e^{- 2} \ 2^ \ 0}{0!}}

\mathtt{P(y =0) = \dfrac{0.1353  \times 1}{1}}

P(y =0) = 0.1353

4 0
3 years ago
A rectangular deck has an area of 320ft^2. the length of the deck is 4 feet longer than the width. find the dimensions of the de
Digiron [165]
A = L * W
A = 320
L = W + 4

320 = W(W + 4)
320 = W^2 + 4W
W^2 + 4W = 320
W^2 + 4W + 4 = 320 + 4
(W + 2)^2 = 324
W + 2 = (+-) sqrt 324
W = -2 (+-) 18

W = -2 + 18 = 16 ft <== this is the width
W = -2 - 18 = -20....not this one because it is negative

L = W + 4
L = 16 + 4
L = 20 ft <=== this is the length

in summary...the width is 16 ft and the length is 20 ft 

7 0
3 years ago
Need help for 15 points please!
AfilCa [17]

Answer:

the last one luv Tpwk Byeeee now

Step-by-step explanation:

I Think, if the other person gets it right listen to them

6 0
3 years ago
Simplify the expression 2p + 3/4p + 6 - p - 3 1/2
lozanna [386]

<u>Answer:</u>

  • The simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5".

<u>Step-by-step explanation:</u>

  • 2p + 3/4p + 6 - p - 3 1/2
  • => (2p - p + 3/4p) + (6 - 3.5)
  • => 1.75p + 2.5

Hence, the simplified expression is "<u>7p/4 + 2 1/2</u>" or "<u>1.75p + 2.5</u>". Any of these would work.

Hoped this helped.

BrainiacUser1357

7 0
2 years ago
Puppy A weighs 6 kilograms, which is about 30% of its adult weight.
ziro4ka [17]

Answer:

a.

<u>Required equation is</u>

  • 6 kg is 30% of w
  • 0.3w = 6

b.

<u>Solve the equation</u>

  • w = 6/0.3
  • w = 20 kg
3 0
3 years ago
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