The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (Note: the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.

Answer:

Step-by-step explanation:

a. Gradient of A = 7/-7 = -1.

b. For line B, m = 3/1.5 = 2 and c = y-intercept = 3.

c. The line parallel to B will have the same gradient m = 2.

It also passes through (1, -1) so we use the point-slope form of the straight line

y - y1 = m(x - x1)

Here m = 2 and (x1, y1) = (1, -1) so

y - (-1) = 2(x - 1)

y = 2x - 2 - 1

y = 2x -3.

answer: 2

(4/10) * 5 = 2

she walk 2 miles per day

Answer:

17

Step-by-step explanation:

∠B = ∠D

2n + 32 = 4n - 2

32 + 2 = 4n - 2n

2n = 34

n = 17

Answer: for plato users

A is the correct answer

Step-by-step explanation:

I just took the test had 100%

The correct option is A. [tex]x^{2} -x-10=0[/tex].

Given quadratic equation  [tex]\frac{2}{3x-6} -\frac{1}{3x+6} =\frac{1}{3}[/tex]

On solving,  [tex]\frac{2(3x+6)-1(3x-6)}{(3x-6)(3x+6)} =\frac{1}{3}[/tex]

Further, [tex]\frac{6x+12-3x+6}{9x^{2} -6^{2} } =\frac{1}{3}[/tex]

[tex]\frac{3x+18}{9x^{2} -36} =\frac{1}{3}[/tex]

Taking 3 common from numerator and 9 common from denominator, we have

[tex]\frac{3(x+6)}{9(x^{2} -4)} =\frac{1}{3}[/tex]

[tex]\frac{(x+6)}{3(x^{2} -4)} =\frac{1}{3}[/tex]

[tex]\frac{x+6}{x^{2} -4} =1[/tex]

[tex]x+6=x^{2} -4[/tex]

On rearranging in decreasing powers of x we get,[tex]x^{2} -x-10=0[/tex].

Hence on solving, We get [tex]x^{2} -x-10=0.[/tex]

For more details on Quadratic equation follow the link:

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Answer:

180 gallons

Step-by-step explanation:

The smaller container has 150 gallons.

Now the large container is filled with the 4/5 of the smaller container.

So if the full volume of the small container is 150 gallons so the 4/5 of it can be calculated as, 4/5*150=120 gallons.

Answer:

hoi

Step-by-step explanation:

Step-by-step explanation:

25z square+93=100z

=25z square+93=10z square

=25z square-10z square=-93

=15z square= -93

Answer:

26

Step-by-step explanation:

perimeter is sum of all sides

11+7+4+4=perimeter

26

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=h-3\\ V=25h\pi \end{cases}\implies 25h\pi =\pi (h-3)^2 h \\\\\\ \cfrac{25h\pi }{\pi h }=(h-3)(h-3)h\implies 25=\stackrel{F~O~I~L}{h^2-6h+9}\implies 0=h^2-6h-16 \\\\\\ 0=(h-8)(h+2)\implies \blacktriangleright h= \begin{cases} 8~~\checkmark\\ -2 \end{cases} \blacktriangleleft ~\hfill \blacktriangleright \underset{radius}{\stackrel{8~~ - ~~3}{5}} \blacktriangleleft[/tex]

notice, we didn't use h = -2, because the height cannot be a negative value.

Answer:

combine like terms; 15.4z - 12

Answer:

Yes it is

Step-by-step explanation:

8 ÷ 33 = .242424( infinite )

Add the beginning 3 to it and you get 3.24 (repeating)

Hope this helps.

Answer:

approx 216

Step-by-step explanation:

well we go to the 10mm mark and we add the columns taht appear before that. Those are two columns : the brown/orangey one and the green one.

if the scale goes up in twenty and each jump has four squares then we can say that one square is equal to 5 up

so we now can read the first two columns

the first one reads 135

the second one reads approximately 81

we add those up and that becomes 216

so the answer is approximately 216

Answer:

5 Liquid Gallons

Step-by-step explanation:

To find this answer, divide the volume value of liquid quarts by 4, then you will get 5 as your liquid gallon answer.

Answer:

Length in feet:  x-70

Step-by-step explanation:

Use factorization to find the length

Area = X^2-120x+3500

Area= length x width.

Area= L x (x-50)= (x-___) (x-50)

To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.

(x-70)(x-50) = x^2-120x+3500.

Answer:

3*12=36

hope thats the answer

Answer:

yes it is scientific notation

Answer: A, C, E

Step-by-step explanation:

An undefined slope means the line is vertical (and thus the x-coordinates are constant).

Answer:

AC = 16.5

AE = 9

Step-by-step explanation:

Connect AC and BE

Note m∠ACD = m∠ACB, (both face arc BD)

ΔACD ~ ΔABE

AD : AB = AC : AE

6 : 4 = AC : (6 + 5)

3 : 2 = AC : 11

2AC = 3*11 = 33

AC = 16.5

AE = 9

Answer:

y=1/3x +16/3

Step-by-step explanation:

m=(y2-y1) / (x2-x1)

   =(6-5) (2- -1)

    =1/3

Substitute in m and either point into the point slope form

y=m(x-x1) + y

y=1/3(x- -1) +5

y=1/3(x+1) +5

Now lets distribute the 1/3 to and combine the constants to put the answer in standard form

y=1/3x + 1/3 + 5

y=1/3x +1/3 + 15/3

y=1/3x +16/3

Answer:

72 cm³

Step-by-step explanation:

Volume of a pyramid = Area of base * height / 3

= 3 * 6 * 12/3 = 72 cm³

Answer:

Geometric figure: Straight Line

Slope = 120.000/2.000 = 60.000

x-intercept = 346/-60 = 173/-30 = -5.76667

y-intercept = 346/1 = 346.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-4+60*x+350)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-60x-346 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-60x-346 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 346/1 so this line "cuts" the y axis at y=346.00000

y-intercept = 346/1 = 346.00000

Calculate the X-Intercept :

When y = 0 the value of x is 173/-30 Our line therefore "cuts" the x axis at x=-5.76667

x-intercept = 346/-60 = 173/-30 = -5.76667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 346.000 and for x=2.000, the value of y is 466.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 466.000 - 346.000 = 120.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 120.000/2.000 = 60.000

Geometric figure: Straight Line

Slope = 120.000/2.000 = 60.000

x-intercept = 346/-60 = 173/-30 = -5.76667

y-intercept = 346/1 = 346.00000

Try to use this method and see if you get the answer

Step-by-step explanation:

area = b * h / 2 , where b is a base, h - height.

so h = 2 * area / b.

Answer:

w=9+2u/6

Step-by-step explanation:

-2u+6w=9

+2u on both sides

6w=9+2u

/6 on both sides

w=9+2u/6

Answer:

48 degrees

Step-by-step explanation:

the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.

Answer:

88+64+8

Step-by-step explanation:

16*4 =64 and you can just replace that with the x.

Answer:

x+4=36

Step-by-step explanation:

you would subtract 4 on each side

x+4=36

  -4   -4

x=32

Answer:

It B

Step-by-step explanation:

The data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

Four years ago, you invested $1000 in an account that returns 5.1% annually.

The table represents the value of your investment at the end of each year.

Time (in years)            Value (in dollars)

          1                                    $1051.00

          2                                    $1104.60

          3                                    $1160.94

          4                                    $1220.14

Plot the point (x, y) on the coordinate plane:

From the graph, as we can see (1,  $1051.00) does not lie on the line.

Thus, the data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.

Learn more about the rate of change here:

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Answer:

quadrant 4

Step-by-step explanation:

Hope this helped :)

also can you pls rate thanks

Answer:

The point is located in the fourth quadrant.

Step-by-step explanation:

I'm pretty sure it that. Hope its right!

Answer:

not factorable

Step-by-step explanation:

g(x) = x²+12x-35

Not factorable