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 boy pushes a bike with 5 newtons up a hill that is 300 meter long. How much work does he do?
siniylev [52]

Answer:

1500 J is the correct answer.

Step-by-step explanation:

5 0
2 years ago
In APQR, PQ- QR. If map
Hitman42 [59]

Answer:

3x-120 = x - 30

2x -120 = -30

2x= 90

x= 45

3(45) -120 (plug x into angle p to check your answer)

135-120

15 degrees

45-30 (plug x into angle r to make sure it's the same thing as angle p)

15 degrees (they're equal so now figure out angle Q and answer the question)

180 - (15 +15)

180- 30

150 is the measure of angle Q

so, the triangle is an obtuse isosceles triangle

Step-by-step explanation:

7 0
2 years ago
Which equation could be solved using the graph above?
nevsk [136]

Answer:

Option 3

Step-by-step explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of y=x^2

by a vertical shift of 1 unit down.

So new equation after transformation would be

y+1=x^2

Ory=x^2-1

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

x^2=1

x=±1

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.

8 0
3 years ago
Read 2 more answers
Super Super dumb Easy question lol<br> Does this count as an equation 60.50 × .20 = x
xxTIMURxx [149]
Yes i’m pretty sure it counts
4 0
3 years ago
Read 2 more answers
Wet N' Dry camp provides water-based activities and ground sports activities for a
wolverine [178]

Answer:

  1. x+y≤80; x≥8; y≥5
  2. see attached for a graph
  3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.

Step-by-step explanation:

1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.

  x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated

  x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based

  y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based

__

2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.

__

3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.

5 0
3 years ago
Other questions:
  • Aaron borrows 150.00 from Austin.he promised to pay back the money in 4 monthly installments.each month he wants to pay half the
    11·1 answer
  • Graph the line using a point and a slope. Write the equation of each line.
    8·2 answers
  • John borrows $2,500 from his dad, who feels it is best to charge him interest. Six months later,
    8·2 answers
  • -2.75 + ( -3.25 ) + 5
    12·2 answers
  • A bag weighs 336 ounces when full and 171 ounces when half full. what does the bag weigh when empty?
    9·2 answers
  • −6x+2x−5+2: simplified
    14·1 answer
  • My car payment is 312.67. My water bill is 12percent of the car payment. How much is the water bill
    6·2 answers
  • Which graph best represents the equation -4x + 5y = 8
    10·1 answer
  • (01.06 LC)<br> Expand and simplify: (2x + 5y) (x - 3y) (5 points)
    15·1 answer
  • What is the following answer for 7/4 x 10?<br> (1) 14<br> (2) 18 1/4<br> (3) 28<br> (4)30 1/2
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!