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valkas [14]
3 years ago
15

The box plot shows the highest jump for each competitor in the Women's High Jump Final at the 2008 Olympics in Beijing, China. F

ind the Interquartile Range.

Mathematics
2 answers:
expeople1 [14]3 years ago
5 0
The answer is 0.07 ....
Stolb23 [73]3 years ago
3 0

Answer:

0.07

Step-by-step explanation:

to find the IQR you do Q3-Q1

2.00-1.93

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Merchant buys shipment of spices for $76.00 and sells for $100.00. If he profits an extra $2.00 for each sack sold, how many sac
earnstyle [38]
100-76=24. 24/2=12. 12 sacks
6 0
3 years ago
A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six
kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

V = Length \times Width \times Height \\\\

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

Width = 3 - 2x \\\\

The length of the shaded region is given by

Length = \frac{1}{2} (5 - 3x) \\\\

So, the volume of the box becomes,

V =  \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V =  \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V =  \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V =  \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

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

Where

a = 18 \\\\b = -38 \\\\c = 15 \\\\

x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 +  19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\

Volume of the box at x= 1.59:

V =  \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\

Volume of the box at x= 0.53:

V =  \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0
3 years ago
What type of number is 0? Rational, Irrational, Whole number, Integer
gladu [14]
It is a whole number and integer.
4 0
3 years ago
Read 2 more answers
20) Jermaine's goal is to eat 25 grams of protein each day. If Jermair meets his goal, how many grams of protein will he have ea
Westkost [7]

Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

3 0
3 years ago
What is the next number in the pattern? 7,11,10,14,13
nikdorinn [45]
I think the answer is 17 because the pattern adds 4 then takes away 1 so 14-1=13 13+4=17
6 0
3 years ago
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