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sertanlavr [38]

3 years ago

11

If you randomly select a beginner runner from the population have them run a 5k, what are the chances that they would finish it

between 25 and 27 minutes? That is, how many times, out of 100, would you randomly select someone that could run the 5k between 25 and 27 minutes? (Hint: use Appendix B.1 to answer this question. Start by calculating the z score for 25 and 27). Remember, you'll need to know the mean and standard deviation that you calculated for your population of runners. (Write a paragraph explaining, No Plagiarism!)
Time to complete 5k (in minutes):
21
21
22
22
23
23
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24
24
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25
25
25
26
26
27
27

1 answer:

Talja [164]3 years ago

8 0

Answer:

I dont know I’m just trynna get points sorry

Step-by-step explanation:

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What is the slope of the line whose equation is 7x+3y=15? With steps.

Harlamova29_29 [7]

Answer: slope, m = -7/3

Step-by-step explanation:

The equation of the line is

7x+3y=15.

To find the slope,

We will consider the standard slope intercept equation also known as the equation of a straight line,

y = mx + c

Where m = slope( change in y values divided by change in x values)

c = the y intercept. This is the point where the straight line cuts across the y axis

Looking at the given equation, 7x+3y=15,

We would need to rearrange it and make y the subject of the formula. It becomes

3y = 15 - 7x

Dividing the right hand side of the equation and left hand side of the equation by 3,

y = -7x/3 + 15. Comparing with the slope intercept equation,

m = -7/3

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4 years ago

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

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Caden: 3.75 : 8 for his recipe, 3.75 : 14 for all total ingredients

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3 years ago

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Graph the following inequality on the coordinate plane? Is (2, 4) a solution?<br> x + 2y < -2

Arte-miy333 [17]

Answer:

(2,4) is not a solution

Step-by-step explanation:

(2 , 4)

2 + 2*4 = 10 > -2

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3 years ago

What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

VARVARA [1.3K]

Answer:

$(x + 1)^2 + (y - 7)^2 = 100$

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

$(x - h)^2 + (y - k)^2 = r^2$ ,

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-1))^2 + (y - 7)^2 = 10^2$

$(x + 1)^2 + (y - 7)^2 = 100$

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3 years ago