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yuradex [85]
3 years ago
15

Rainforest data: mean = 7  σ2 = 12.405  σ ≈ 3.522 when using the formula zx = x − μ σ for the z-score for the 11.7 data point: x

= ; μ =
Mathematics
2 answers:
sergejj [24]3 years ago
6 0

Answer:

1.3344

Step-by-step explanation:

Given is the rainforest data.

Let X be the random variables

Then X has mean as 7 and variance as 12.405

SD of X = square root of variance = 3.522

We know that

Z = \frac {X-\mu}{\sigma}\\=\frac{11.7-7}{3.522} \\=1.3344

Z value when x = 11.7 is +1.3344

11111nata11111 [884]3 years ago
4 0

Answer:

Mean B =μ= 7

Standard Deviation =A=σ ≈ 3.522

Variance =σ²=12.405

X=Score=Data Point=11.7

As, Z=\frac{X- B}{A}

z-score for the Score 11.7

=\frac{11.7-7}{3.522}\\\\=\frac{4.7}{3.522}\\\\Z=1.3344

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The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how
AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal                         Weight(pounds)

African Elephant            15,000

Blue Whale                   238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant =15000\div 2000=7.5\ tons.

Blue whale =238000\div 2000=119\ tons.

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

Blue\ whale - African\ elephant

=119 tons-7.5tons

=111.5\ tons

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0
3 years ago
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Phantasy [73]
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3 years ago
How do you do this problem? Explain.
Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

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3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

7 0
3 years ago
A circle has a diameter of 12 inches. What is the area of the circle? А 367 inches squared B 247 inches squared C 127 inches squ
Ann [662]

Answer:

113.1

Step-by-step explanation:

A = πr²

A = π (6)²

A = π (36)

A = 113.09 = 113.1

8 0
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