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3 years ago

3x-4y=16 slope and intercept form

Mathematics

2 answers:

elena55 [62]3 years ago

5 0

Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

adelina 88 [10]3 years ago

3 0

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

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Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

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4 years ago

Every rational number is a

nordsb [41]

<em>Greetings from Brasil...</em>

a - whole number

FALSE

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b. natural number

FALSE

0,457888..., for example isnt a natural number

c. integer

FALSE - like a

d. real number

TRUE

The set of real numbers contains the set of rational numbers

ℝ ⊃ ℚ

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4 years ago

I need help for a major grade quiz !!

arsen [322]

Answer: The answer would be D.

Step-by-step explanation: I put down the points then simply reflected it over the y-axis. I did this by using the the opposite of the x number and the same y number. Hope this helps!

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3 years ago

Upper bound and lower bound of 80.0

Viefleur [7K]

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2 years ago

IF CORRECT ILL MARK BRAINLIEST<br> FIND THE SURFACE AREA OF THE CYLINDER

BARSIC [14]

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Step-by-step explanation:

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2 years ago

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