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
Sliva [168]
3 years ago
12

A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e

ntirely of even numbers
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

81

Step-by-step explanation:

Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.

If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is

3\cdot 3\cdot 3\cdot 3=3^4=81.

You might be interested in
Which are the solutions of x² = 19x + 12​
Sever21 [200]

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

4 0
2 years ago
NEED HELP NOW 50 POINTS!!!!!!!!!
puteri [66]
1st. is definitely 150.
2nd. is a i think
3rd. is 100 

8 0
3 years ago
Read 2 more answers
8 to 14 as a ratio as a fraction in simplest form.
padilas [110]

Answer:

4/7 or 4:7

Step-by-step explanation:

8/14 divided by 2= 4/7

3 0
4 years ago
Read 2 more answers
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
I NEED HELP ASAP! Which equation is represented by the graph below?
WARRIOR [948]

Answer:B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope of this airplanes ascent?
    7·1 answer
  • on a test, a student answered 12 questions correctly. this number represents 80% of the total number of questions were on the te
    14·1 answer
  • Find the derivative of y= (3x –1) 2<br>with respect to x.​
    12·1 answer
  • Use the figure below to complete the following problem
    12·1 answer
  • Suppose we identify 50 women 50 to 54 years of age who have both a mother and a sister with a history of breast cancer. Five of
    10·1 answer
  • In which quadrant does the point (-4,15) lie
    8·1 answer
  • From a club of 24 people, in how many ways can a group of four members be selected to attend a conference?
    10·1 answer
  • Someone help with math , thanks &lt;3
    15·1 answer
  • What are the features of the quadratic function f(×) =×2 +10×+21?​
    15·1 answer
  • Select all of the following expressions that are equivalent to 9 to the 1/2 power
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!