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Afina-wow [57]
3 years ago
10

A scientist collected 7 water samples from local streams. Each sample was the same size, and she collected 0.7 liters of water i

n all. What was the volume of each water sample?
Mathematics
1 answer:
ozzi3 years ago
3 0

The volume of each sample is 0.10 liters of water from each water sample

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Find the distance between Line L and Point P if Line L contains the points
svet-max [94.6K]

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

3 0
2 years ago
Urgent need the answers plz help.
Ket [755]

Answer:

(a) P" = (-4,-3)

(b) (x,y) \to  (4,-8)

Step-by-step explanation:

Given

P = (4,3)

Solving (a): Reflect across x and y-axis.

Reflection across x-axis has the following rules

(x,y) \to (x,-y)

So, we have:

P' = (4,-3)

Reflection across y-axis has the following rules

(x,y) \to (-x,y)

So, we have:

P" = (-4,-3)

Hence, the new point is: (-4,-3)

Solving (b): Rx . Do,2 (2,4)

R_x \to reflect across the x-axis

Reflection across x-axis has the following rules

(x,y) \to (x,-y)

So, we have:

(2,4) = (2,-4) ---- when P is reflected across the x-axis

D_{o,2} \to dilate by a scale factor of 2

The rule is:

(x,y) \to 2 * (x,y)

So, we have

(x,y) \to 2 * (2,-4)

Open bracket

(x,y) \to  (4,-8)

3 0
2 years ago
1. Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times
pshichka [43]

Answer:

We cannot infer at the 10% significance level that the assumption of ski centers is wrong

Step-by-step explanation:

The null hypothesis for this question can be stated as  

Null hypothesis H0:  =4  

Alternate hypothesis Ha:  

The test is two tailed

Standard Deviation –  

 = 2

z=(4.84-4)/(2/sqrt(63))

=3.33

Z(0.1/2)=1.645 is less than Z =3.334

Hence, we will reject H0  

Hence, the average growth skier ski’s four times a year is not true  

6 0
2 years ago
How do you check 4b+6=-2
Verdich [7]

By solving the equation:

4b + 6 = -2

4b = -2 - 6 (taking 6 from each side)

4b = -8

b = -2 (divide both sides by 4)

5 0
3 years ago
Read 2 more answers
Find the slope of the line that contains the following points. e(5,7), f(3,1)
Amanda [17]
Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
3 0
3 years ago
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