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iren2701 [21]
1 year ago
14

Diego and other farmers harvested tomatoes for barangay's gulayan day. they were able to fill 56.5 kaings each weighing 18.75 ki

lograms
1. About how many kilograms of tomatoes were harvested for the gulayan day?

2. if they would sell the tomatoes for 24.25 a kilo,

a. by how much would they get for one kaing?

b. by how much would they get for all the tomatoes?

3. A businessman bought all the tomatoes, but will was given 1.5 kilograms free for each kaing. About how much would he pay?
Mathematics
1 answer:
nirvana33 [79]1 year ago
4 0

<u>Number 1</u>

56.5 kaings each weighing 18.75 kilograms

56.5 × 18.75 = 1059.375 kilograms

Answer : 1059.375 kilograms

<u>Number 2 (A)</u>

$24.25 a kilo and 18.75 kilograms for one kaings

18.75 × $24.25 = $454.6875

Answer : $454.69

<u>Number 2 (B)</u>

$24.25 a kilo and 1059.375 kilograms

1059.375 × $24.25 = 25 689.84

Answer : $25 689.84

<u>Number 3</u>

1.5 kilograms free for each kaing

18.75 - 1.5 = 17.25 kg

17.25 kg × 56.5 kaings × $18 247.21875

Answer : $18 247.22

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In terms of a graph, you can tell if it has the following properties:
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You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.

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Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

3 0
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