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4 years ago

Difference between upper quartile & lower quartile

Mathematics

1 answer:

Olenka [21]4 years ago

6 0

Answer:

The upper and lower quartiles can be used to find another measure of variation call the interquartile range. The interquartile range or IQR is the range of the middle half of a set of data. It is the difference between theupper quartile and the lower quartile.

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

3 years ago

How can I use context clues and keywords to translate situations into inequalities? Explain with an example of your own.

stiv31 [10]

Consider the following example:

Mira and Lola are looking to hire a hall for their 18th birthday party. They are expecting at least 50 guests and want a hire that will accommodate the party. Write this requirement as an inequality

Solution: the keyword here is 'at least' because it means that the hall must be able to accommodate a minimum of 50 people. It is a clue that Mira and Lola are expecting more than 50 guests. The inequality symbol for this context is 'more than or equal to' and as inequality, we have x ≥ 50

3 0

3 years ago

A government may create and regulate natural monopolies because:

MAXImum [283]

The government may wish to regulate monopolies to protect the interests of consumers. For example, monopolies have the market power to set prices higher than in competitive markets. The government can regulate monopolies through: Price capping – limiting price increases.

7 0

4 years ago

a zoo is building a new giraffe exhibit and needs to fence an outdoor triangular area, with the barn forming one side of the tr

konstantin123 [22]

Answer:

Yes, the zoo needs to order more fencing. The zoo has 54 ft of fence remaining for the unknown side.

If the unknown side is assumed to have this length, sin (θ) = 1.2857. which is not possible, so the triangle cannot be formed.

Step-by-step explanation:

Let a be the length of the third side of the triangle.

a = 127 - 73 = 54 ft

Let the angle that a makes with the barn be θ

The diagram of this question is attached to this solution.

Using the sine rule, we can examine if the remaining fencing material would be enough by checking if (sin θ) is realistic.

Using sine rule,

[a/(sin 72°)] = [73/(sin θ)]

[54/sin 72°] = [73/sin θ]

sin θ = (73 × sin 72°)/54 = 1.2857

sin θ = 1.2857

This is obviously not a realistic value for sin θ since it is known that sin θ ranges between 0 and 1.

The 54 ft is obviously not enough.

Hence, the zoo needs more fencing material to be able to complete the outdoor triangular giraffe exhibit.

Hope this Helps!!!

5 0

3 years ago

You want to buy one DVD for $24.99 and another for $19.99. What is the total price of both DVD's plus tax if the sales tax is 6.

Charra [1.4K]

Answer:

I got 48.03.

Step-by-step explanation:

5 0

3 years ago