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
sergij07 [2.7K]
2 years ago
11

3. You roll two fair dice, a white one and a red one. (a) Find P(5 or 6 on the white die and an odd number on the red die) (b) F

ind P(odd number on the white die and 5 or 6 on the red die). (c) Find P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die).
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Answer:

a. P(5 or 6 on the white die and an odd number on the red die) = 1/6

b. P(odd number on the white die and 5 or 6 on the red die) = 1/6

c. P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/3

Step-by-step explanation:

(a) P(5 or 6 on the white die and an odd number on the red die)

Step 1: P(5 or 6 on the white die) = 1/6 + 1/6 = 1/3

Step 2: P(odd number on the red die) = 1/2

Step 3: P(5 or 6 on the white die and an odd number on the red die) = 1/3 × 1/2 = 1/6

(b) Find P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(odd number on the white die) = 1/2

Step 2: P(5 or 6 on the red die) = 1/6 + 1/6 = 1/3

Step 3: P(odd number on the white die and 5 or 6 on the red die) = 1/2 × 1/3 = 1/6

(c) Find P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(5 or 6 on the white die and an odd number on the red die) = 1/6

Step 2: P(odd number on the white die and 5 or 6 on the red die) = 1/6

Step 3: P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/6 + 1/6 = 1/3

You might be interested in
What is the quotient of 4/11 and 12/7?
Juli2301 [7.4K]

Answer: C. 7/33

Step-by-step explanation: First you have to multiply 4/11 to the reciprocal of 12/7. After that you have to simplify 28/132 to 7/33

6 0
3 years ago
Read 2 more answers
Match the parabolas represented by the equations with their foci.
Elenna [48]

Function 1 f(x)=- x^{2} +4x+8


First step: Finding when f(x) is minimum/maximum
The function has a negative value x^{2} hence the f(x) has a maximum value which happens when x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2. The foci of this parabola lies on x=2.

Second step: Find the value of y-coordinate by substituting x=2 into f(x) which give y=- (2)^{2} +4(2)+8=12

Third step: Find the distance of the foci from the y-coordinate
y=- x^{2} +4x+8 - Multiply all term by -1 to get a positive x^{2}
-y= x^{2} -4x-8 - then manipulate the constant of y to get a multiply of 4
4(- \frac{1}{4})y= x^{2} -4x-8
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is 12- \frac{1}{4}=11.75

Hence the coordinate of the foci is (2, 11.75)

Function 2: f(x)= 2x^{2}+16x+18

The function has a positive x^{2} so it has a minimum

First step - x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4
Second step - y=2(-4)^{2}+16(-4)+18=-14
Third step - Manipulating f(x) to leave x^{2} with constant of 1
y=2 x^{2} +16x+18 - Divide all terms by 2
\frac{1}{2}y= x^{2} +8x+9 - Manipulate the constant of y to get a multiply of 4
4( \frac{1}{8}y= x^{2} +8x+9

So the distance of focus from y-coordinate is \frac{1}{8} to the north of y=-14
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: f(x)=-2 x^{2} +5x+14

First step: the function's maximum value happens when x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25
Second step: y=-2(1.25)^{2}+5(1.25)+14=17.125
Third step: Manipulating f(x)
y=-2 x^{2} +5x+14 - Divide all terms by -2
-2y= x^{2} -2.5x-7 - Manipulate coefficient of y to get a multiply of 4
4(- \frac{1}{8})y= x^{2} -2.5x-7
So the distance of the foci from the y-coordinate is -\frac{1}{8} south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when x=8.5 and y=79.25. The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when x=-2.75 and y=-10.125. Manipulating coefficient of y, the distance of foci from y-coordinate is \frac{1}{8} to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when x=1.5 and y=9.5. The distance of the foci from the y-coordinate is \frac{1}{8} to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0
2 years ago
Rewrite the product (x-3)^2 in standard form.
Schach [20]

Answer:

x² - 6x + 9

Step-by-step explanation:

5 0
3 years ago
How to find the area of congruent shapes
serious [3.7K]
you multiply length times width times height.
4 0
2 years ago
Read 2 more answers
Plzz help will give brainliest
skad [1K]

Answer: 82.5 - x = R sorry if I am wrong

Step-by-step explanation:

1. We know all the angles in a triangle add up to 180 degrees.

<em>180 = x + x + 15 + R</em>

2. Combine like terms

<em>180 = 2x + 15 + R</em>

3. Subtract 15 from both sides

<em>165 = 2x + R</em>

4. Divide both sides by 2

<em>82.5 = x + R</em>

5. Subtract x from both sides

<em>82.5 - x = R</em>

6 0
2 years ago
Other questions:
  • At Britney's Beading Boutique, 60% of the 85 beads on clearance are plastic. How many plastic beads are there on clearance?
    9·1 answer
  • Solve the equation.<br><br> x2 − 6x − 7 = 0
    12·1 answer
  • I need a proper answer please, thanks so much.
    11·1 answer
  • Urgent!
    8·1 answer
  • A garage door opener has a ten number keypad. Codes to open the door must consist of 5 digits with no adjecent digits the sane.
    15·1 answer
  • A triangle is drawn and then translated as shown in the diagram. Which statement is true?
    10·2 answers
  • Which expression is equivalent to 5(3 + 4k ) + 3(4 +k )?
    14·2 answers
  • In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed
    11·1 answer
  • Can someone please help
    5·1 answer
  • Evelyn bought 8. 4 gallons of gas for $23. 94. Which equation can be used to determine the price of each gallon of gas? 8. 4x =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!