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Nadya [2.5K]
2 years ago
7

A meter is 3.37 inches more than a yard. swimmer a swims 100 meters. swimmer b swims 100 yards. approximately how many more feet

did swimmer a swim than swimmer b?
Mathematics
2 answers:
Paraphin [41]2 years ago
5 0

Answer:

Swimmer a swims 28\frac{1}{12}\text{ feet} more than swimmer b.

Step-by-step explanation:

Given,

The distance covered by swimmer a = 100 meters,

Also, the distance covered by swimmer b = 100 yards,

Difference between the distance covered by a and b = 100 meters - 100 yards

We know that,

1 meter - 1 yards = 3.37 inches,

⇒ 100( 1 meter - 1 yard ) = 337 inches.

⇒ 100 meters - 100 yards = 337 inches

⇒ Difference between the distance covered by a and b = 337 inches,

Since, 1 foot = 12 inches,

⇒ Difference between the distance covered by a and b = \frac{337}{12}= 28\frac{1}{12}\text{ feet}

Hence, swimmer a swims 28\frac{1}{12}\text{ feet} more than swimmer b.

Hatshy [7]2 years ago
3 0
To determine how many more feet swimmer A swim than B, we first need to convert the measurements given into the same units which would be in feet. We do as follows:

A = 100 m (1 ft / 3.28 m ) = 30.49 ft
B = 100 yds ( 3 ft / 1 yd) = 300 ft

Then, we subtract the value of B to A. 

30.49 - 300 = -269.51 ft ( the negative means that A swim less than B)

Therefore, swimmer A swim 269.51 ft less than swimmer B.
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Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot
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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
2 years ago
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