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3 years ago

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

miss Akunina [59]3 years ago

3 0

Answer:

-3/2

Step-by-step explanation:

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Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove thi

alexdok [17]

Answer:

Null hypothesis: $p \leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445$

Step-by-step explanation:

Information given

n=344 represent the random sample taken

X=176 represent the anumber of boys babies

$\hat p=\frac{176}{344}=0.512$ estimated proportion of boys babies

$p_o=0.5$ is the value that we want to check

z would represent the statistic

$p_v$ represent the p value

Hypotheis to verify

We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445$

8 0

3 years ago

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Bad White [126]

Answer:

Step-by-step explanation:

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Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5

masha68 [24]

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

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3 years ago

A dog groomer earns $450 each week plus $8 per dog she washes. She uses the expression 450 + 8d to find her total earnings each

Rudik [331]

Answer:

Step-by-step explanation:

$8 dollars per dog + $450

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lyudmila [28]

Answer:

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Step-by-step explanation:

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