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4 years ago

-3y = 2x - 9; x= -3, 0, 3

1 answer:

3 0

1.)-3y=2* -3-9
  -3y=-6-9
  -3y=-15
  y=5
-3*5=-15
2.)-3y=2*0-9
-3y=0-9
-3y=-9
y=3
-3*3=-9
3.)-3y=2*3-9
-3y=6-9
-3y=-3
y=1
-3*1=-3

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4 years ago

Jade invested in the stock market. The weekly change in value of her stock, in dollars, over 4 weeks was +23.65, -22.20, -12.75

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Answer:

<h3>The average weekly change in value of Jade's stock in dollars is -1.3225</h3>

Step-by-step explanation:

Given that Jade invested in the stock market.

The weekly change in value of her stock, in dollars, over 4 weeks was +23.65, -22.20, -12.75 and +5.98.

<h3>To find the average weekly change in value of her stock in dollars :</h3>

The average weekly change in value of Jade's stock is given by $Average=\frac{sum of the weekly changes in value of her stock in dollars}{total number of weeks}$

$Average=\frac{23.65+(-22.20)+(-12.75)+5.98}{4}$

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3 years ago

Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for

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Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

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To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10 ---------------(from given)

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Now formula for speed is,

Speed = $\frac{distance}{time}$

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$2x+10=120$

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$\therefore x=\frac{110}{2}$

$\therefore x= 55$

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

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3 years ago

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2 years ago

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The number of heads observed is 121.14 heads

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The formula for the z-score of a proportion is given as follows;

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}$

Where:

${\hat{p}$ = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

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Hence, we have;

$z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99$

Therefore;

${\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}$

${\hat{p}$ = 0.6057

$Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057$

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

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3 years ago