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
olga55 [171]
3 years ago
5

A bag contains 4 b l u e marbles, 3 w h i t e marbles, and 10 r e d marbles. If a marble is drawn from the bag, replaced, and an

other marble is drawn, what is the probability of drawing first a b l u e marble and then a r e d marble?
Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

40/289

Step-by-step explanation:

We can see these two events are independent as Regina replaced marble after drawing one marble.

We can find possible outcomes by adding number of blue, red and yellow marbles.

possible outcomes= 4+3+10= 17

Let us find probability of getting a blue marble on first draw.

P( blue\ marble)= \frac{4}{4+3+10} = \frac{4}{17}

Now we will find probability of getting red marble.

P(red/marble)= \frac{10}{17}

We can find probability of getting a blue marble and then red marble by multiplying both probabilities.

P(\text{ Blue then red})=\frac{4}{17}* \frac{10}{17} =\frac{40}{289}

You might be interested in
Researchers are concerned about the impact of students working while they are enrolled in classes, and they’d like to know if st
antoniya [11.8K]

Answer:

The 95% confidence interval based on this sample is =

[6.41, 7.79]

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Sample mean = 7.1 hours

Standard deviation = 5 hours

n = 200 students

z = 95% confidence interval z score

= 1.96

C.I = 7.1 ± 1.96 × 5/√200

C.I = 7.1 ± 0.693

Hence, Confidence Interval

= 7.1 - 0.693

= 6.407

Approximately = 6.41

= 7.1 + 0.693

= 7.793

Approximately = 7.79

Therefore, the 95% confidence interval based on this sample is

[6.41, 7.79]

6 0
2 years ago
Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?
MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0
2 years ago
Read 2 more answers
Identify the two tables which represent quadratic relationships
madam [21]

Answer:

Option (4) and Option (5)

Step-by-step explanation:

By calculating the second difference, if the second difference in a table is equal, table will represent the quadratic relationship.

In the given option, we analyze that table given in Option (4) will represent the quadratic relationship.

x             y             Ist difference (y_2-y_1)         IInd difference

0            4                      -                                             -

1            -4             -4 - (4) = -8                                     -    

2           -4             -4 - (-4) = 0                              0 - (-8) = 8

3            4              4 - (-4) = 8                                  8 - 0 = 8

Second difference of the terms in y are the same as 8.

Therefore, table of Option (4) represents the quadratic relationship.

Similarly, in Option (5) we will calculate the second difference of y terms.

x            y            Ist difference     IInd difference

0          -4                    -                            -

1           -8             -8 - (-4) = -4                 -

2          -10           -10 - (-8) = -2        -2 - (-4) = 2      

3          -10           -10 - (-10) = 0        0 - (-2) = 2

Here the second difference is same as 2.

Therefore, table of Option (5) will represent the quadratic relationship.

6 0
3 years ago
Estimate 12.56+12.69 using front-end estimation.
marissa [1.9K]
<span>12.56+12.69 = 12.60 + 12.70 = 25.30

answer

</span><span>A. about $25.30</span>
5 0
3 years ago
For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c
Elan Coil [88]

Answer:

29) discriminant  is positive

30) discriminant  is 0

31) discriminant  is negative

Step-by-step explanation:

the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.

In the graph of question number 29 we can see that the graph intersects the x axis at two points

so the equation has 2 solutions.

When the equation has two solution then the discriminant is positive

In the graph of question number 30 we can see that the graph intersects the x axis at only one point

so the equation has only  1 solution.

When the equation has only one solution then the discriminant is equal to 0

In the graph of question number 30 we can see that the graph does not intersects the x axis  

so the equation has 2 imaginary solutions.

When the equation has two imaginary solutions then the discriminant is negative

3 0
3 years ago
Other questions:
  • How can I rename 82 thousands?
    12·1 answer
  • WV bisects XWY. The measure of angle XWV is (x+3), and the measure of angle VWY is (3x-91) . Solve for x.
    6·1 answer
  • Given circle O, angle A has a measure of 36° and the radius is 10 cm, find the area of sector BOC.
    14·1 answer
  • Solve by elimination:<br> 3x+7y=23<br> -3x-7y=-17
    13·1 answer
  • What is 5 divided by-6/5
    10·1 answer
  • (8, 1) and (-1, 10)<br> Slope
    14·1 answer
  • Sophia just graduated from college and is living on her own. She only wants to
    8·1 answer
  • 1. The perimeter of a rectangle is 32 em. The length is I cm more than twice the width Find the
    11·1 answer
  • What are the central ideas of this excerpt? Select two options.
    10·1 answer
  • Express each percent as a fraction or mixed number in simplest form.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!