Mathematics: Set X consists of 100 numbers. The average (arithmetic mean) of set X is 20, and the standard deviation is 5.5. Which of the following two numbers, when added to set X, will decrease the set’s standard deviation by the greatest amount? -100 and -100 -20 and -20 0 and 0 0 and 40 20 and 20

Set X consists of 100 numbers. The average (arithmetic, №6237332, 13.10.2022 18:18

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

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P Answered by PhD

The answer is in the image

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

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P Answered by PhD

The solution is in the following image

Mathematics

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

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P Answered by PhD

The answer is in the image

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

How much would the tip be if you left 18% on a 75.45 steak dinner?

Step-by-step answer

P Answered by PhD

tip=18% of 75.45

=18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics

If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

Step-by-step answer

P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

=105/512 cm3

Mathematics

What is StartFraction 5 pi Over 6 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.

Step-by-step answer

P Answered by PhD

The answer is in the image

Set X consists of 100 numbers. The average (arithmetic mean) of set X is 20, and the standard deviation is 5.5. Which of the following two numbers, when added to set X, will decrease the set’s standard deviation by the greatest amount? -100 and -100 -20 and -20 0 and 0 0 and 40 20 and 20

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