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3 years ago

4. Solve using elimination. 4x -3y = 9 3x +2y = 11

Mathematics

2 answers:

UNO [17]3 years ago

8 0

Answer: (3,1)

Explanation:

Natali5045456 [20]3 years ago

3 0

Answer:

x=3, y=1

Step-by-step explanation:

2(4x-3y=9) Multiply these two equations to cancel out the y using elimination

3(3x+2y=11)

8x-6y=18 Add these two equations to cancel out the y using elimination

9x+6y=33

17x=51 Solve for x

x=3

4(3)-3y=9 Plug in x=3 into the original equation

3y=3 Solve for y

y=1

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Inessa05 [86]

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3 years ago

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

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3 years ago

17-1.2+ show me how you get the answer 15.8

SashulF [63]

First do 17 - 1 to get 16. Then subtract 0.2 from 16.0 to get 15.8.

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3 years ago

Solve the following inequality.

melisa1 [442]

Answer:

A number line going from 27 to 37, open circle at 32, everything to the right is shaded

Step-by-step explanation:

-1/2p < -16

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8 0

2 years ago

Read 2 more answers

Evaluate each geometric series described<br> 1-4+16-64...., n=6

xz_007 [3.2K]

Answer:

- 819

Step-by-step explanation:

The sum to n terms of a geometric series is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here a = 1 and r = - 4 ÷ 1 = - 4, thus

$S_{6}$ = $\frac{1((-4)^6-1)}{-4-1}$ = $\frac{4096-1}{-5}$ = $\frac{4095}{-5}$ = - 819

5 0

3 years ago

Read 2 more answers