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3 years ago

Which of the following sets of data will have the smallest Standard Deviation?

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles

Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900

b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

Learn more about inequalities here:

brainly.com/question/22976364

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2 years ago

Prove that the product of a nonzero rational number together with an irrational number is an irrational number.

melamori03 [73]

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rationalleads to a contradiction, the sum must be irrational.

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2 years ago

Christy bought an 8 foot piece of lumber to trim a bookshelf.Altogether she needs 100 inches of lumber for the trim. Did christy

soldi70 [24.7K]

Christy did not get enough because 12 times 8 = 96. she needs 4 for inches.

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2 years ago

What is the value represented by the letter D on the box plot of data?

anyanavicka [17]

Hello!

The letter D is in the place for the upper quartile

To find this you have to find the median of the data

List the numbers from least to greatest

12, 18, 34, 55, 59, 68, 80, 80

The medians are 55 and 59

To get the median we take the average of these numbers

55 + 59 = 114

114 / 2 = 57

The median is 57

To find the upper quartile you find the median of the numbers higher than 57

List the numbers that are higher than 57 in the data

59, 68, 80, 80

Take the average of 68 and 80

68 + 80 = 148

148/2 = 74

The answer is 74

Hope this helps!

4 0

3 years ago

Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

dem82 [27]

(x² + 4x - 45)/(x² + 10x + 9)

Numerator = N = x² + 4x - 45 
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)

Denominator = D = x² + 10x + 9 
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)

Hence, the given expr. = N/D 
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)

Restrictions : x ≠ - 1, x = 5 

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

7 0

3 years ago

Read 2 more answers