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kkurt [141]
3 years ago
8

Alligators captured in Florida are found to have a mean length of 2 meters and a standard deviation of 0.35 meters. The lengths

of alligators are believed to be approximately normally distributed. What is the approximate length of an alligator at the 67th percentile of alligator lengths?
a. 2.01 meters.
b. 2.44 meters.
c. 2.21 meters.
d. 2.15 meters.
e. 2.09 meters.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

The correct option is (d). 2.15 meters.

Step-by-step explanation:

According to the given scenario, the approximate length of an alligator at the 67th percentile is as follows:

The length of an alligator is X \sim N(2,0.35) .

Let us assume the P_{67} be the 67th percentile

P(X

\frac{P_{67 - 2 }}{0.35} = 0.44\\\\P_{67} = 2.154

Hence, the correct option is (d). 2.15 meters

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Answer is A.

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How do you write 144% as a fraction, mixed number, or whole number in simplest form?
Dmitrij [34]

In fraction, 144/100

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3 years ago
PLS HELP! URGENT!!!! A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the
krok68 [10]

Answer: Area of sidewalk is 217m²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

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A circular flower bed is 20 meters in diameter.

radius = diameter/2 = 20/2 = 10 meters

Area of the flower bed = 3.14 × 10²

= 314m²

The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be

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6 0
3 years ago
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies.
poizon [28]
<h2><u>In total, she will need $98.34 to pay all of the foods she plans to serve at the party.</u></h2>

All of the work:

<em>How to solve the amount of pizza she needs:</em>

20 x 3 = 60

60 divided by 10 = 6

<em>How to solve the amount of soda bottled needed:</em>

20 x 16 = 320

320 divided by 64 = 5

<em>How to solve the number of pans she needs:</em>

20(2 x 3) = 40 x 60

40 x 60 divided by 8 x 12 = 5

<h2>THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.</h2>

<em>Number of pizza she needs:6 pizza, costs $77.94</em>

<em>Number of soda bottles she needs:5 bottles, costs $8.45</em>

<em>Number of pans she needs:5 pans, costs $11.95</em>

<em>Add 77.94, 8.45, and 11.95 and get 98.34</em>

7 0
3 years ago
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