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Anuta_ua [19.1K]
3 years ago
14

Paula runs with 2 of her friends. The table below shows their last 3 lap times.

Mathematics
1 answer:
patriot [66]3 years ago
3 0
The range is the difference of the greatest value of the data points and the least value. So, for Paula's data, the range is: 16 min*60s/min - 20 s = 940 s. For Kate, the range is: 16min*60s/min - 20s = 940 s. For Sam, the range is: 16min*60s/1min - 10 s = 950 s. If you want to find the overall range, find the greatest and least amount in all of the data given. The overall range is: 16min*60s/min - 10 s = 950 seconds.
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Determine the type of correlation that exists in the given data set. Age (years) 23 45 39 74 63 52 59 28 35 11 26 49 IQ 76 82 11
Lyrx [107]

Answer:

B -0.104

Step-by-step explanation:

Step 1: Write the formula for correlation

r =    total xy

√Total x² x Total y²

Step 2: Make a table to calculate all values

Table is attached in the picture below

Step 3 : Solve

Mean of X = Total X/ Total number of X

                  = 507/12

                  = 106.33

Mean of Y = Total Y/ Total number of Y

                  = 1276/ 12  

                  = 42.25

r =    total xy

√Total x² x Total y²

r = -352.05/ √3656.25 x 3122.66698

r = -0.104

-0.104 is negative

This negative correlation means there is an inverse correlation between variables.

6 0
3 years ago
Read 2 more answers
LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

4 0
3 years ago
How many whole numbers between −32 and 77?
mylen [45]
109 numbers hope this helps :)
8 0
3 years ago
Read 2 more answers
3/4 divided by 4/5 is 15/16 is it in its lowest terms​
Softa [21]

Answer:

yes it cant be siplified anymore

Step-by-step explanation:

8 0
3 years ago
Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radic
AnnZ [28]

We are given

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).

so, time is

T=0.25\sqrt{60} =\frac{1}{4} \sqrt{60}

we have to approximate it's value

First approximation set:

we know that

49

we can take sqrt all the sides

\sqrt{49}

we can simplify it

7

Divide all sides by 4

\frac{7}{4}< \frac{1}{4} \sqrt{60}

Second approximation set:

7.7

Divide all sides by 4

\frac{7.7}{4}

1.925

Third approximation set:

7.74

Divide all sides by 4

\frac{7.74}{4}

1.935

so, we get

t=1.94seconds......Answer

7 0
3 years ago
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