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artcher [175]
3 years ago
6

Can someone help please?

Mathematics
1 answer:
Pie3 years ago
7 0
The first one because it’s the greater number
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Becky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the pa
Sauron [17]
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.
5 0
3 years ago
Given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval [5,15].
Temka [501]

Step-by-step Expression;

- Given; The function f(x) on the interval [ 5,15]

- To find the average rate of change of the function f(x)=?

x = 5 , y = 15,

I can't solve it anymore,please can you solving?

7 0
2 years ago
Click to see equation, show work pls!
BlackZzzverrR [31]

Answer:

x = 6, 9

Step 1:

To solve this equation, we need to subtract 3 from both sides like this:

3\sqrt{x-5} +3(-3)=x(-3)\\3\sqrt{x-5} =x-3

Step 2:

We square both sides (multiply using FOIL) to get rid of the radical.

(3\sqrt{x-5} )^2 = (x-3)^2\\(3\sqrt{x-5} )^2: 9x-45\\ (x-3)^2: x^2+6x+9\\\\9x-45=x^2-6x+9

If you did not understand how these were done, here is an example:

(x + 1)(x + 2)

First terms: x * x = <u><em>x^2</em></u>

Outer terms: x * 2 = 2x

Inner terms: 1 * x = x

2x - x = <u><em>x</em></u>

Last terms: 1 * 2 =<em> </em><u><em>2</em></u>

x^2 + x + 2

Step 3:

Solve for x:

9x - 45 = x^2 - 6x + 9

x^2 - 6x + 9 (+45) = 9x - 45 (+45)

x^2 - 6x + 54 (-9x) = 9x (-9x)

x^2 - 15x + 54 = 0

Factor:

(x^2 - 6x) + (- 9x + 54)

x(x - 6)        - 9(x - 6)

Factor out (x - 6):

(x - 6)(x - 9) = 0

x - 6 = 0; 6 - 6 = 0

x - 9 = 0; 9 - 9 = 0

Our anwer: x = 6, 9

6 0
3 years ago
Read 2 more answers
1. Solve the system.
Sliva [168]

Answer:

D

Step-by-step explanation:

We put 2nd equation into 1st equation and get y:

y=\frac{1}{7}x-4\\y=\frac{1}{7}(7y+1)-4\\y=y+\frac{1}{7}-4\\y=y-\frac{15}{4}\\NOTHING

We can't seem to come to a solution.

Also let's rearrange the 2nd equation into y = something form:

x = 7y + 1

7y = x - 1

y = 1/7 x -1

As we can see BOTH the lines have the same SLOPE, the number before x, which is 1/7 and we know that lines with same slope are parallel, they never intersect.

Having a solution to a system means their intersection point, since they are parallel lines, they don't intersect, and hence DO NOT HAVE A SOLUTION.

D is the correct choice.

8 0
4 years ago
Mrs. Zarate is 4 feet 11 inches tall. If there are 2.54 centimeters
shusha [124]

Answer:

149.86 cm

Step-by-step explanation:

4 ft 11 in = 59 inches

2.54(59) = 149.86

5 0
3 years ago
Read 2 more answers
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