1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
6

A sixteen-sided number cube has the numbers 1 through 16 on each face. each face is equally likely to show after a roll. what is

the probability that you will roll an even number or an odd prime number? round to the nearest thousandth.
a. 0.063
b. 0.813
c. 0.219
d. 0.875
Mathematics
2 answers:
faltersainse [42]3 years ago
4 0

Answer:

B. <em>0.813</em>

Step-by-step explanation:

A sixteen-sided number cube has the numbers 1 through 16 on each face.

So, |\ S\ |=16

Let us assume that, A be the event that the number will be an even number. So,

A=\left \{ 2,4,6,8,10,12,14,16 \right \} and |\ A\ |=8

Then,

P(A)=\dfrac{|\ A\ |}{|\ S\ |}=\dfrac{8}{16}

Let us assume that, B be the event that the number will be an odd prime number.

B=\left \{3,5,7,11,13 \right \} and |\ B\ |=5

Then,

P(B)=\dfrac{|\ B\ |}{|\ S\ |}=\dfrac{5}{16}

So the probability that you will roll an even number or an odd prime number will be,

P(A\cup B)=P(A)+P(B)-P(A\cup B)

=\dfrac{8}{16}+\dfrac{5}{16}-0 ( as independent events)

=\dfrac{13}{16}

=0.813


il63 [147K]3 years ago
3 0
P(even number) = 8/16 = 1/2...sample space is 16, there are 8 even numbers (2,4,6,8,10,12,14,16)
P (odd prime number) = 5/16...sample space is 16, there are 5 odd primes (3,5,7,11,13)

P (both) = 1/2 + 5/16 = 8/16 + 5/16 = 13/16 = 0.8125 rounds to 0.813
You might be interested in
Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and
Cloud [144]

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

7 0
3 years ago
Read 2 more answers
2/10 clear and 18/100 orange. The rest are red and blue. There are 2 more red marbles than blue marbles. What fraction represent
romanna [79]

Answer:

33/100 red, 29/100 blue

Step-by-step explanation:

2/10=20/100

20+18=38

38/100 orange/clear marbles

100-38=62

62 red/blue marbles

62/2=31

31 blue, 31 red

"There are 2 more red marbles than blue marbles."

31-2=29

31+2=33

33/100 red, 29/100 blue.

4 0
3 years ago
A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \te
alexdok [17]

Answer:

<em>The bee traveled 11.7 meters.</em>

Step-by-step explanation:

A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.

For <u>finding the total distance traveled, we need to just add</u> 840 cm and 330 cm.

So, (840+330) cm = 1170 cm

We know that,  1 meter = 100 cm. That means, <u>for converting 'cm' into 'meter' , we need to divide by 100</u>.

Thus,  1170 cm= \frac{1170}{100} meter = 11.7 meter

So, the bee traveled 11.7 meters.

5 0
3 years ago
What does x equal ???​
Rina8888 [55]
88 degrees is the correct answer
7 0
3 years ago
Read 2 more answers
Explain how the sum and difference formula cos(A+/- B) = cosA cosB -/+ sinA sinB could be useful?
serg [7]
One way it's useful is in the application of phasors in physics. Phasors require you to add up vectors of two different angles, so the cosine angle addition formula can be used if you already know the cosine and sine of the original vector angles.
6 0
3 years ago
Read 2 more answers
Other questions:
  • The distance between Lakeview and Sun Valley s 89 km. About how far is this in miles
    13·1 answer
  • A hundred percent turned into a decimal
    10·2 answers
  • Hey what's 2+2 <br> ( THIS IS FOR POINTS IM NOT DUMB ) :)))
    14·2 answers
  • What is the equation of a line that contains the points (2,-2) and (0, -2)?
    8·2 answers
  • This diagram shows a pre-image △ABC , and its image, ​ △A′′B′′C′′ ​ , after a series of transformations.
    13·2 answers
  • What is the product? 4 • (–5)
    9·2 answers
  • In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H
    9·1 answer
  • How do you know that the systems of equations are consistent? How do you know that they are independent?
    5·1 answer
  • En red socks and ten blue socks are all mixed up in a dresser drawer. The 20 socks are exactly alike except for their colour. Th
    10·1 answer
  • Pierce bought 16 ounces of motor oil for $2.24. How much is motor oil per ounce?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!