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SCORPION-xisa [38]

3 years ago

15

suppose the correlation coefficient between the number of college students in a city and the number of city buses is 0.89. which

statement must be true

1 answer:

Sergio039 [100]3 years ago

4 0

Is that the only statement. Or is there different options?

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A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre

Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length * Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0

2 years ago

A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?

LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

$y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6$

Let's plug all of this back into the first equation y=mx+b.

$y=mx+b\\y=-\frac{2}{3}x+6$

That's the answer to this problem.

I hope this helps.

7 0

2 years ago

Read 2 more answers

Divide fractions: 5/6 divided by 6/10 (leave as improper fraction if necessary)

tankabanditka [31]

Answer:

25/18

Step-by-step explanation:

5/6 / 6/10

K C F

5/6 * 10/6

50/36 = 25/18

5 0

3 years ago

A quadratic function is defined by

ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0

3 years ago

2(3-x)-1.4(5-2x)=2x+5.3

Hitman42 [59]

I think the answer is : x = -5.25

7 0

1 year ago

Read 2 more answers