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2 years ago

5

What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negat

ive 3 x plus StartFraction one-half EndFraction y equals negative 3.

2 answers:

mylen [45]2 years ago

5 0

Answer:

$b=-6$

Step-by-step explanation:

we have

$y=6x+b$ ----> equation A

$-3x+\frac{1}{2}y=-3$ -----> equation B

we know that

If equation A is the same of equation B, then the system of equations will have infinite solutions

Convert equation B in slope intercept form

Isolate the variable y

Multiply by 2 both sides to remove the fractions

$-6x+y=-6$

Adds 6x both sides

$y=6x-6$ -----> equation C (slope intercept form)

Equate equation A and equation C and solve for b

$6x+b=6x-6$

$b=-6$

Lana71 [14]2 years ago

3 0

Answer:

The answer to this question is -6.

Hope this helps!!! :)

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Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

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Step-by-step explanation:

Given that,

Height (in inches) of a 25 year old man is a normal random variable with mean $g=71$ and variance $o^{2} =6.25$ .

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Now,

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P[X>74] = P[ $\frac{X-g}{o}$ > $\frac{74-71}{2.5}$ ]

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(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X, $6ft$ $5in$ - X, $6ft$ ]

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= $\frac{P[X > 77]}{P[ X > 72]}$

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= $\frac{1-P[Z\leq2.4] }{1-P[Z\leq0.4] }$

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