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3 years ago

4x - 5y = 15 find the slope and y-intercept

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

Answer:

slope=4/5

y-intercept = -3

Step-by-step explanation:

first we need to rewrite the expression to

$y=mx+b$

were b is the y-intercept and m the slope

$4x-5y=15\\\\4x-5y+5y=15+5y\\\\4x+0=15+5y\\\\4x=5(3)+5(y)\\\\4x=5(3+y)\\\\\frac{1}{5}*4x= \frac{1}{5}*5(3+y) \\\\\frac{4x}{5}=3+y\\\\\frac{4x}{5} -3=3+y-3\\\\\frac{4x}{5} -3=y+0\\\\y=\frac{4x}{5} -3\\\\y=\frac{4}{5}x-3$

so there we have it

$m=\frac{4}{5} \\\\b=-3$

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Mariulka [41]

Answer:

$P(141.8$

And we can find this probability with this difference and using the normal standard table:

$P(-0.639$

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(173.6,49.8)$

Where $\mu=173.6$ and $\sigma=49.8$

We are interested on this probability

$P(141.8$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(141.8$

And we can find this probability with this difference and using the normal standard table:

$P(-0.639$

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

8 0

2 years ago

Solve this equation and explain the steps 9-2x= 7x

Hunter-Best [27]

Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

9 - 2x = 7x

Step 2: Solve for x

Add 2x on both sides: 9 = 9x

Divide both sides by 9: x = 1

Step 3: Check

Plug in x to verify it's a solution.

9 - 2(1) = 7(1)

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3 0

3 years ago

If t=38.5 and s=31.4 find S. Round to the nearest tenth

zubka84 [21]

Answer:

The correct answer option is C. S = 54.6°.

Step-by-step explanation:

We are given a right angled triangle with two known sides, $s$ and $t$ .

We are to find the value of the angle $S$ .

For that, we will use sine.

$sin S = \frac { s } { t }$

$sin S = \frac { 3 1 . 4 } { 3 8 . 5 }$

$S = sin'0.815$

S = 54.6°

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2 years ago

Read 2 more answers

If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a

Strike441 [17]

Answer:

selling price$840

it's a loss.

Step-by-step explanation:

cost price = 28× 30 = $840

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5 0

2 years ago

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J

solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

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In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

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$P = \frac{1012.50}{15*0.045}$

$P = 1500$

Javier's parents set aside $1500 when he was born

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2 years ago