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
spin [16.1K]
1 year ago
15

1. The spinner shown has six equal-size sections and is spun twice. What is the probability that the product of the number spun

is 12?2. A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected?

Mathematics
1 answer:
GuDViN [60]1 year ago
5 0

PART 1.

Out of the 6 numbers of the board, there are 2 pairs whose product is 12: 6 and 2, and 4 and 3.

Notice that you could spin, for instance, a 6 first and then a 2. Or you could also spin a 2 first and then a 6. This tells us that each pair of numbers can be spun in two different ways. This gives us a total of 4 possible combinations whose product is 12:

\begin{gathered} (6,2) \\ (2,6) \\ (4,3) \\ (3,4) \end{gathered}

Now, let's calculate the number of possible combinations. Notice that, for example, you can spin a 1 and then a 1, 2, 3, 4, 5 or 6. This will give us 6 possible combinations for number 1:

\begin{gathered} (1,1) \\ (1,2) \\ (1,3) \\ (1,4) \\ (1,5) \\ (1,6) \end{gathered}

This will also happen for each of the 6 numbers on the board. If each number gives us 6 combinations, and there are 6 numbers, the total number of combinations will be:

6\cdot6=36

Now, we take the number of favorable outcomes (the pairs whose product is 12) and divide it by the total number of outcomes:

\frac{4}{36}\rightarrow\frac{1}{9}

This way, we can conclude that the probability that the product of the numbers spun is 12 is 1/9.

PART 2.

Number 3 is one of the 10 numbers given (0,1,2,3,4,5,6,7,8,9). This way, the probability of choosing number 3 is:

\frac{1}{10}

Now, out of all the 4 letters given (A,B,C,D), 3 are consonants. This way, the probability of choosing a consonant is:

\frac{3}{4}

This way, the probability of chosing number 3 and a consonant is:

\frac{1}{10}\cdot\frac{3}{4}=\frac{3}{40}_{}

This way, we can conclude that the probability that the number 3 and a consonant are selected is 3/40

You might be interested in
A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has
skad [1K]

Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

Z = (x-mean)/(st. dev.)

Solving x:

1.88 = (x-150)/10 \\x = 168.8 = 169

3 0
3 years ago
Read 2 more answers
PLzzz help this is due in 20mins. The standard recipe for Hershey's chocolate is 3 cups cocoa and 2 cups milk. If Hershey's deci
klio [65]

Answer: 60 cups of cocoa and 40 cups of milk I believe

Step-by-step explanation:

times 3 cups of cocoa by 20

times 2 cups of milk by 20

7 0
3 years ago
Read 2 more answers
During it's first 50 days of growth a sunflower grows about 4 cm a day. Using this rate how many days will it take for the sunfl
Alex787 [66]
The answer is 15 days because
60 \div 4 = 15
4 0
3 years ago
I need an answer asap
bezimeni [28]

Answer:

please what shape is this

4 0
3 years ago
Please help. I don't understand this.​
klio [65]

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

7 0
3 years ago
Other questions:
  • Please help and dont just say hope you get it​
    14·1 answer
  • Help me with this question pleaseee!!!
    7·1 answer
  • The tax rate on Jerome Jame's $112,000 vacation home is 25 mills. The property is assessed at full value. How much will Jerome p
    7·2 answers
  • 5x – 4y=8<br> -x + 2y = -4<br> 1.<br> 2.<br> 44 - by = -6<br> 4x – 4y = -8
    7·1 answer
  • I need help on this question plz
    10·1 answer
  • What is the axis of symmetry for the following equation?<br> y=4x2-8x+9
    9·1 answer
  • A cement pathway of uniform width is to be poured around a rectangular swimming
    14·1 answer
  • I need help with some homework
    14·2 answers
  • Can someone help me out on this problem and show work
    11·1 answer
  • How would i work this out?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!