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bonufazy [111]
3 years ago
9

True or False . The sum of the relative frequencies is 100%.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Answer:

False

Step-by-step explanation:

The cumulative Relative Frequency is the sum of the relative frequencies for all values that are less than or equal to the given value

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A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. Fro
Klio2033 [76]

Answer:

Expected counts: 55 ducks, 25 geese, 13 cranes, 11 swans, 6 heron

Observed counts:

61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons.

Step-by-step explanation:

There are 61+17+11+15+6 = 110 birds on the lake.

The expected counts are:

0.50*110 = 55 ducks

0.23*110 = 25 geese

0.12*110 = 13 cranes

0.10*110 = 11 swans

0.05*110 = 6 herons

What the biologist counted were the observed counts.

7 0
3 years ago
Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n
Andru [333]
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. 10^{-8}.
So 0.000000016 expressed in scientific notation is 1.6x10^-8, or in calculator notation 1.6E-8

We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
3 0
3 years ago
Read 2 more answers
What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final an
Flauer [41]

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

  • We can choose a birthday for the first person 365 out of 365 days.
  • We can choose a birthday for the second person 364 out of 365 days.
  • We can choose a birthday for the third person 363 out of 365 days.
  • We can choose a birthday for the fourth person 362 out of 365 days.

Therefore,

P(4 randomly selected people all have different birthdays)

=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836

8 0
3 years ago
Given trapezoid PQRS, which of the following must be true?
Helga [31]
The trapezoid the legs are congruent to each other
4 0
3 years ago
-5=s-3<br><br> Please show work so I understand.
Liula [17]
Since you are solving for S, you need to single it out. Do this by adding 3 to both sides which eliminates the -3 and adds 3 to -5 giving you -2. Now S = -2 
7 0
3 years ago
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