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
Mademuasel [1]
3 years ago
7

A deck consists of cards with 7 suits labelled A to G and num- bered ranks from 1 to 8. Each card is equally likely to be drawn.

Suits A to E are red. Suits F to G are blue. A card is drawn at random from this deck. What is the probability of it being suit A
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

1/7

Step-by-step explanation:

You might be interested in
Find the probability that a randomly
Lerok [7]

Fine the area of the circle:

Area of a circle = pi x r ^2

Area of the circle = 3.14 x 4^2 = 50.24 square cm

Find the area of the triangle:

Area of triangle = 1/2 x base x height

Area =1/2 x 8 x 4 = 16 square cm

Find the area of the white part by subtracting the area of the triangle from the circle:

50.24 - 16 = 34.24 square cm.

The probability of landing in white is the area of white/ area of circle:

34.24/50.24 = 0.682

Multiply by 100 to get percent:

0.682 x 100 = 68.2%

4 0
2 years ago
Kevin uses 36 ounces of dried apples and 18 ounces of
aliina [53]

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

                     = 36 + 18

                     = 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

                                 = 54 ÷ 8

                                 = 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

                          = 54 - (6 × 8)

                          = 54 - 48

                          = 6 ounces

8 0
2 years ago
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than on
Kazeer [188]

Answer:

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

Step-by-step explanation:

We have to write the transition matrix M for the population.

We have three states (nonsmokers, smokers of one pack and smokers of more than one pack), so we will have a 3x3 transition matrix.

We can write the transition matrix, in which the rows are the actual state and the columns are the future state.

- There is an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 2% probability that a nonsmoker will begin smoking more than a pack per day. <em>Then, the probability of staying in the same state is 90%.</em>

-  For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. <em>Then, the probability of staying in the same state is 80%.</em>

- For smokers who smoke more than a pack per day, there is an 8% probability of quitting and a 10% probability of dropping to a pack or less per day. <em>Then, the probability of staying in the same state is 82%.</em>

<em />

The transition matrix becomes:

\begin{vmatrix} &NS&P1&PM\\NS&  0.90&0.08&0.02 \\  P1&0.10&0.80 &0.10 \\  PM& 0.08 &0.10&0.82 \end{vmatrix}

The actual state matrix is

\left[\begin{array}{ccc}5,000&2,500&2,500\end{array}\right]

We can calculate the next month state by multupling the actual state matrix and the transition matrix:

\left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4950&2650&2400\end{array}\right]

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

To calculate the the state for the second month, we us the state of the first of the month and multiply it one time by the transition matrix:

\left[\begin{array}{ccc}4950&2650&2400\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4912&2756&2332\end{array}\right]

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

If we repeat this multiplication 12 times from the actual state (or 10 times from the two-months state), we will get the state a year from now:

\left( \left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] \right)^{12} =\left[\begin{array}{ccc}4792.63&3005.44&2201.93\end{array}\right]

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

3 0
3 years ago
The area of a square is 36cm2. What are the dimensions of the square? You must show your work. Pls tell me what the dimensions o
Helga [31]

Answer:

6 cm by 6 cm

Step-by-step explanation:

We know that the formula for area of a square is A = s² where A = area and s is the length of one side. We know that A = 36 so:

36 = s²

√36 = s

s = ±6

Note that s = -6 is an extraneous solution because you can't have a side length of -6, therefore the answer is s = 6 so the dimensions of the square are 6 cm by 6 cm.

5 0
3 years ago
Read 2 more answers
Find the area of the figure.<br> 14 m<br> 5 m<br> 16 m
Misha Larkins [42]

Answer:

Step-by-step explanation:

Seperate the shape into two. 16x2=32cm². 12x11=132cm²

So altogether it would = 164cm²

7 0
3 years ago
Other questions:
  • What are the intercepts of this function?<br><br> f(x) = -8x + 4
    11·1 answer
  • Please help me now please
    8·1 answer
  • Kala runs 10 miles in 85 minutes. At the same rate, how many minutes would she take to run 8 miles
    13·1 answer
  • HELP! Find the EXACT angle(s) on The Unit Circle (in radians) that would produce sinθ = −2√2
    11·1 answer
  • Write the word sentence as an equation. Then solve the equation.
    10·2 answers
  • Martha Washington walks 30 minutes each day. If she walks for 140 days, how many hours will she walk?
    6·1 answer
  • George has 28 tomato seedlings. He wants to put them into 7 equal groups to sell. Which number sentence could be used to find th
    9·1 answer
  • Determine the gradient of the straight line 2x-3y+9=0. Find the equation of the straight line through the origin which is perpen
    5·2 answers
  • NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)
    8·1 answer
  • He figure shows a parallelogram inside a rectangle outline:
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!