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3 years ago

How is the interquartile range calculated?

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:The interquartile range is a measure of where the “middle fifty” is in a data set.

Step-by-step explanation:

The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q3 – Q1.

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A maple syrup producer would like to increase production by 500 gallons per each consecutive year with a goal of producing at le

ipn [44]

Answer:

b) x ≥ 3000 gallons

Step-by-step explanation:

Part a)

Production of Year 1 = x gallons

By each year the producer will increase the production by 500 gallons. So,

Production in Year 2 = x + 500 gallons

Similarly,

Production in Year 3 = x + 500 + 500 = x + 1000 gallons

Production in Year 4 = x + 1000 + 500 = x + 1500 gallons

Production in Year 5 = x + 1500 + 500 = x + 2000 gallons

Part b)

The maple syrup producer wants to produced atleast 20,000 gallons in 5 years.

Total amount produced in 5 years = x + x + 500 + x + 1000 + x + 1500 + x + 2000

Total amount produced in 5 years = 5x + 5000

Since, producer wants total production to be atleast 20,000, we can set up the inequality as:

5x + 5000 ≥ 20000

Subtracting 5000 from both sides, we get:

5x ≥ 15000

Dividing both sides by 5, we get:

x ≥ 3000

This means, in the first year the production of maple syrup must be atleast 3,000 gallons i.e 3000 gallons or more to have a total of atleast 20,000 gallons in 5 years.

8 0

3 years ago

A gardener is testing various values of x for a rectangular garden with length 2x + 5 meters and width x – 3 meters. The product

vlabodo [156]

This is one of those questions where there's a list of choices that goes along with it,
but you're not sharing the list.

The product of (2x + 5) and (x - 3) is (2x² - x - 15) . That may be useful.

6 0

3 years ago

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my comput

motikmotik

Step-by-step explanation:

o2+a2=h2

100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

this is an example on how to do it

8 0

2 years ago

Unit 1: Scientific Notation Constructed Response Assignment

balu736 [363]

brainly.com/question/5027087

Let C, S and H be the diameters of cell, sand and hair

Diameter of a cell: $C=1 \cdot 10^{-5}m$

Diameter of a grain of sand: $S=2 \cdot10^{-4}m$

Part A:

$H=0.000025=2.5 \cdot 10^{-5}$ meters, because it takes 5 movements right of the decimal dot, until there is only one digit to its left.

Part B:

we are comparing $S=2 \cdot10^{-4} m$ to $C=1 \cdot10^{-5} m$ ,

$\frac{S}{C}= \frac{2 \cdot 10^{-4}}{1 \cdot 10^{-5}}=\frac{20 \cdot 10^{-5}}{1 \cdot 10^{-5}}=20$

thus S is 20 times larger than C

Part C

$1m=1 \cdot10^9nm$

thus,

$H=2.5 \cdot 10^{-5}m=2.5 \cdot 10^{-5} \cdot 1 \cdot 10^9nm=2.5 \cdot 10^{-5+9}=2.5\cdot10^4nm$

Part D.

$1m=1\cdot 10^9nm\\\\1nm=\displaystyle{ \frac{1m}{10^9}=1\cdot 10^{-9}m}$

thus 300 nm are written in meters as follows:

$300nm= 300\cdot 1\cdot 10^{-9}m=3\cdot 10^2 \cdot 10^{-9}m=3\cdot 10^{-7}m$

5 0

3 years ago

It is estimated that there are 10^20 grains of sand on a beach in Florida in April. The beach is heavily eroded by tourists over

lyudmila [28]

$\bf \textit{how much is }\frac{1}{100}\quad of \quad 10^{20}?\implies \stackrel{\textit{one hundredth}}{\cfrac{1}{100}}\cdot 10^{20}\implies \cfrac{1}{10^2}\cdot 10^{20}
\\\\\\
10^{-2}\cdot 10^{20}\implies 10^{-2+20}\implies 10^{18}
\\\\\\
1,000,000,000,000,000,000~grains$

5 0

3 years ago