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
We are interested in the dimensions of a certain square a rectangle had length triple the side of this square and width two unit
Sphinxa [80]

Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).

So, the area of this rectangle is

3s(s-2)=3s^2-6s

The area of the square is s^2, and we know that the two areas are the same, so we have

3s^2-6s=s^2 \iff 2s^2-6s=0 \iff 2s(s-3)=0 \iff s=0 \lor s=3

The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.

3 0
3 years ago
Shown is the graph for which of the following equations?
katrin2010 [14]
Since the graph is moving positive from left to right, x is positive. so now we are left with B) and C) for our answer

now, the y intercept or b is -3 as shown in the graph

the answer is C) y= x -3
8 0
3 years ago
A private jet can fly 1,095 miles in 3 hours with a tailwind but only 987 miles in 3 hours into a headwind find the speed of the
Verizon [17]

Answer:

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

Step-by-step explanation:

We have the following:

x = the speed of the jet in still air.

y = the speed of the wind

we know that the speed is equal to:

v = d / t

therefore the distance would be:

d = v * t

if we replace with the information of the exercise we have:

3 * (x + y) = 1095

3 * (x - y) = 987

we must solve this system of equations, add both equations and we are left:

3 * x + 3 * y = 1095

3 * x - 3 * y = 987

3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987

6 * x = 2082

x = 2082/6 = 347

now to calculate y, we replace:

3 * (347 + y) = 1095

1041 + 3 * y = 1095

3 * y = 1095 - 1041

y = 54/3 = 18

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

8 0
3 years ago
Evaluate function expression -2×f(-6)-7xg(-7)​
marin [14]

Answer:

-12xf+49xg

Step-by-step explanation:

2xf(-6)-7xg(-7)

-2xf*6+7xg*7

Gives you -12xf+49xg

5 0
2 years ago
Read 2 more answers
HELP WILL MARK YOU BRAINLIEST!! NO FAKE ANSWERS
lara31 [8.8K]
The answer is B

Solution:
Find perimeter (L+B+L+B)
600+300+600+300= 1,800
1,800/3= 600
600x500= 300,000
6 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!! algebra 2
    13·1 answer
  • PLEASEEEE help me on 3 4 & 5. it’s due before midnight
    7·2 answers
  • 2l+2w 10 feet by 3.5 feet
    8·1 answer
  • The difference between 8 less than q?
    9·1 answer
  • Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
    9·1 answer
  • HELP PLEASE???<br> !!!<br> ????<br> ???<br> ??
    10·1 answer
  • What is the answer to 4(5-s)=-12
    10·2 answers
  • Which expression is equivalent to 36x2 − 100
    14·1 answer
  • Me need more help plz also add explanation real explanation
    9·2 answers
  • Which ordered pairs are in the solution set of the system of linear inequalities?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!