Which of the following characteristics best describes the given function of f(x) = 3x

HELP TUTOR… ss z z z z

kondor19780726 [428]

Answer:

A)σ = 15.37 miles per hour

B) σ = 55.10 miles per hour

C) 39.73 miles per hour

Step-by-step explanation:

Formula for standard deviation is;

σ = √(Σ(x - μ)²)/(n - 1)

A) For large wild cats;

μ = Σx/n = (70 + 40 + 30 + 40 + 35 + 35 + 35 + 35 + 10)/9 = 36.67

σ = √((70 - 36.67)² + (40 - 36.67)² + (30 - 36.67)² + (40 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (10 - 36.67)²)/(9 - 1)

σ = √236.1139

σ = 15.37

B) For various birds;

μ = Σx/n = (218 + 106 + 97 + 56 + 66 + 39 + 55 + 32 + 54 + 20 + 25 + 25)/12

μ = 66.0833

σ = √((218 - 66.0833)² + (106 - 66.0833)² + (97 - 66.0833)² + (56 - 66.0833)² + (66 - 66.0833)² + (39 - 66.0833)² + (55 - 66.0833)² + (32 - 66.0833)² + (54 - 66.0833)² + (20 - 66.0833)² + (25 - 66.0833)² + (25 - 66.0833)²)/(12 - 1)

σ = √3035.72

σ = 55.10

C) difference in standard deviations = 55.10 - 15.37 = 39.73 miles per hour

8 0

3 years ago

If someone can do both I’d appreciate it! I’ve been up for awhile trying to fingers these out.

Lilit [14]

Answer:

3. AGH= 150

4. CHF= 110

Step-by-step explanation:

3. AGH corresponds to CHF, so they equal the same. AGH = 150

4. BGE is vertical to AGH, so they equal the same AGH = 110. AGH corresponds to CHF, so they equal the same. CHF=110.

8 0

3 years ago

Read 2 more answers

Reggie read a 400- page book in 5 days. On the first day, he read 120 pages .each day after that , he read the same number of pa

iris [78.8K]

400 pages in 5 days
but 120 on the first day
so 400-120=280
280 is what he read in the 4 days following
so divide 280 equally among the 4 days
You get 70 per day after the first

7 0

3 years ago

Read 2 more answers

FIND THE VOLUME OF THE PRISM

jek_recluse [69]

Answer:

180 cubic centimeters

Step-by-step explanation:

Volume of prism = base x height

Base of prism = 9*4 = 36

V = bh

V = 36*5 = 180 cubic centimeters

3 0

3 years ago

A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 s

rosijanka [135]

Answer:

$P(\bar X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4,1.1)$