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frozen [14]
3 years ago
10

Riley wants to predict a soccer team's number of wins. She considers the number of goals scored by the team's top scorer during

a season. Riley makes a scatter plot using data from the team's past 13 seasons. Which is the equation of the trend line that most closely models this data?
Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

b) y=1/3x+5

Step-by-step explanation:

Without the actual scatter plot we would need to deduce from the options provided which would closely model the data. Since the number of goals scored in a game can only be 0 or positives then we can remove options a) and c) since a value of x = 0 would output a negative value to y. That leaves us with options b) and d). Since we know that soccer games vary in the number of goals then we can remove option d) since it represents a steady trend line of 4. Finally, we are left with option b) as the answer.

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Find an equation for the line that passes through the point (-4, 10) and (16, -2)
Crank

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

3 0
3 years ago
X^2- 4x- 6y- 14=0 in standard parabola form.
uranmaximum [27]
<span>X^2- 4x- 6y- 14=0
6y = x^2 - 4x - 14 
Divide through by 6:-

y = (1/6)x^2 - (2/3)x -  7/3</span>
7 0
3 years ago
38.5 divided by 0.5 =
Dmitry_Shevchenko [17]
38.5:0.5=385:5=(300+80+5):5\\\\=300:5+80:5+5:5=60+16+1=77
7 0
4 years ago
-y= 4x + 1
ivolga24 [154]

Answer:

I believe the answer would be C.

Step-by-step explanation:

This is because after plugging in the numbers (2 in replace of x) (-9 in replace of y) for the problem -2y- 6x =6... the statement was determined true.... so, therefore, I believe the correct answer is C

6 0
3 years ago
Josue tosses a coin and skins the spinner below. What are all the possible outcomes? Use H and T to represent heads and tails. F
GenaCL600 [577]

Tossing a coin.

Let Heads be represented as H

Let Tail be represented as T

When a coin is tossed, then there are two possible outcomes.

We can either get a tail or a heads.

It can be represented as = { H } or { T }

If a coin is tossed then the probability of getting a head is 50% and the probability of getting a tail is 50%

3 0
3 years ago
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