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2 years ago

A point is randomly chosen in the circle shown below.

Mathematics

1 answer:

quester [9]2 years ago

7 0

Answer:

in a region with a letter

Step-by-step explanation:

For a certainty, then probability is 1.

That means sum of probability of all events in the sample space.

This means P(A)+P(B)+P(C)+P(D)=1

This is equivalent to:

P(A or B or C or D)=1

Hence for certainty, the region must be:

A or B or C or D

So the correct answer is in a region with a letter.

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The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

svlad2 [7]

Answer:

$Average\ Change = -1\frac{7}{10} ft/s$

Step-by-step explanation:

Given

$Altitude\ Change = -4\frac{1}{4} \ ft$

$Time = 2\frac{1}{2}\ s$

Required

Determine the average change

This is calculated as follows:

$Average\ Change = \frac{Altitude\ Change}{Time}$

This gives:

$Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}$

$Average\ Change = -4\frac{1}{4}/2\frac{1}{2}$

Convert to improper fractions

$Average\ Change = -\frac{17}{4}/\frac{5}{2}$

Convert to multiplication

$Average\ Change = -\frac{17}{4}*\frac{2}{5}$

$Average\ Change = -\frac{17}{2}*\frac{1}{5}$

$Average\ Change = -\frac{17}{10}$

$Average\ Change = -1\frac{7}{10} ft/s$

8 0

2 years ago

What is the volume of a sphere with radius of 16 inches? Use 3.14 for π. 200.96 in3 17,148.59 in3 1071.79 in3 4287.15 in3

crimeas [40]

Answer:

17148.59 in^3

Step-by-step explanation:

This volume is calculated as follows: V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3

3 0

3 years ago

Read 2 more answers

Please help thank you

Allushta [10]

The average rate of change of credit card is $ 401.79 /year.

<h3>What is Average Rate?</h3>

A single rate that is a weighted average of the different rates that are applicable to property in various locations.
An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).

<u>Solution</u>

The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625

The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14

average rate of change of credit card debt with respect to time = $\frac{difference of credit card debt}{difference of years}$