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3 years ago

Use the substitution method to solve the system of equations

Mathematics

1 answer:

xeze [42]3 years ago

7 0

Answer:

(12,14)

Step-by-step explanation:

9x-3(3x-4)=14

9x-9x+12=14

12=14

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Which equation can be used to find the area of the composite figure pictured below?

skad [1K]

Answer:

Step-by-step explanation:

The figure is made up of a rectangle and two triangles.

The dimensions of the 3 polygons are:

Rectangle: 8 m by 15 m

Triangle 1: 15 m base and 7 m height

Triangle 2: 9 m base and 8 m height

Total area =

= [8(15) + 15(7)/2 + 9(8)/2] m^2

Answer: A.

8 0

3 years ago

t the Fidelity Credit Union, a mean of 5.8 customers arrive hourly at the drive-through window. What is the probability that, in

zhuklara [117]

Answer:

0.5217

Step-by-step explanation:

Given that:

mean $\mu$ = 5.8

Using Poisson Probability formula:

$P(X=x) = \frac{ (e^{- \mu} * {\mu^x) }}{x!}$

$P(X>5.8)=1-P(X \leq5)$

$= 1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)]$

$= 1 -[\frac{(e^{-5.8}*5.8^0) }{ 0! } + \frac{(e^{-5.8}*5.8^1) }{ 1! } +\frac{(e^{-5.8}*5.8^2) }{ 2! } +\frac{(e^{-5.8}*5.8^3) }{ 3! } +\frac{(e^{-5.8}*5.8^4) }{ 4! } +\frac{(e^{-5.8}*5.8^5) }{ 5! } ]$

$=1-(0.003+0.0176+0.0509+0.0985+0.1428+0.1656)$

$=1-0.4783$

$=0.5217$

∴ the probability that, in any hour, more than 5 customers will arrive =0.5217

7 0

4 years ago

Simply -1/2x + 3 - 4x + 5 + 3/2x Please help quickly!

Ede4ka [16]

Answer: -3x + 8 should be your answer! A good way to get quick answers for questions like these would be https://www.cymath.com/answer.php which I just used to answer this question, hope it helps!