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
Advocard [28]
3 years ago
13

A six-sided fair dle is rolled 4 times in a row. The probability of getting a 4 only on the last trial is ______

Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

Answer:

1/6

Step-by-step explanation:

No. Of faces contains 4=1

Total no. Of faces=6

Probablity = favourable no. of outcomes/Total no. of outcomes

PLEASE GIVE BRAINLIEST

You might be interested in
PLEASE HELPPP!!!
Tems11 [23]

Answer:

a) -16t^{2}+64t\geq40

b)[2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}]

(see attached picture for the number line)

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) h_{max}=64ft

d) t=2s

Step-by-step explanation:

a)

Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:

-16t^{2}+64t\geq40

this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.

b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:

-16t^{2}+64t =40

we can move the 40 to the other side of the equation so we get:

-16t^{2}+64t-40=0

we can factor the equation so it's easier to solve, so we get:

-8(2t^{2}-8t+5) =0

which simplifies to:

2t^{2}-8t+5=0

and we can use the quadratic formula to solve this equation, so we get:

t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}

so we get:

t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}

which yields:

2\pm \frac{\sqrt{6}}{2}

and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:

(-\infty, 2-\frac{\sqrt{6}}{2}]  for a test value of 0

[2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}] for a test value of 1

[2+\frac{\sqrt{6}}{2},\infty) for a test value of 4

so next we test each of the values in the original inequality and see if the inequality is true:

(-\infty, 2-\frac{\sqrt{6}}{2}] for a test value of 0

-16(0)^{2}+64(0)\geq40

0\geq40 false

so this is not an answer.

[2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}] for a test value of 1

-16(1)^{2}+64(1)\geq40

48\geq40

true, so this is an answer.

[2+\frac{\sqrt{6}}{2}, \infty) for a test value of 4

-16(4)^{2}+64(4)\geq40

-16(16)+64(4)\geq40

-256+256\geq40

0\geq40

false, so this is no answer.

So the answer is the interval:

[2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}]

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)

so we can use the following formula to find the t-value for this maximum height:

t=-\frac{b}{2a}

so we substitute the corresponding values:

t=-\frac{64}{2(-16)}

which yields:

t=2s

next, we can substitute this time into the original function to find the maximum height, so we get:

h=-16(2)^{2}+64(2)

which yields:

h=64 ft

d) We found the answer for d on the previous part where we got that t=2s

6 0
3 years ago
100 points and brainlyest which high school should i consider? l live in long beach California and the closest high school is Wi
mihalych1998 [28]

Answer:

then you should go there

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Why would a conservative investor invest in more short term bonds than long term bonds?
castortr0y [4]
<span>A conservative investor invests in more short term bonds than long term bonds because they believe long term bonds are not efficient.
</span>Some investors think that bonds are “safe,” , stocks are “risky”. 

<span>Short-term bonds on the other hand, seems to be attractive to many investors, specifically the conservative ones because they don't require you to tie up your money for long.  </span>
7 0
3 years ago
Read 2 more answers
Ray's pizza serves small and LG pizza. a small pizza has a diameter of 10inches and is sliced into 6 equal slices.a large pizza
Andrew [12]
  Amount of pizza eaten by Charlie.
 
7/6× 22/7 × (101/2)² =9350.91667

  Amount of pizza eaten by Julie

5/12 × 22/7 × 90.5² = 10725.3273

   Answer = Julie
3 0
2 years ago
The sum of two numbers is 46 the difference is 16
Sindrei [870]
31 and 15

31+15=46

31-15=16
3 0
3 years ago
Read 2 more answers
Other questions:
  • Myra took out a 20 year loan for $80,000 at an APR of 11.5% compounded monthly, approximately what would be the total cost of he
    15·2 answers
  • The sum of -3 and five times a number
    14·2 answers
  • What type of triangle is this? Side lengths of 7.36 m, 3.16 m, and 5.45m and angles that measure 43degrees, 23 degrees, and 114d
    5·2 answers
  • Original: $25.80
    10·1 answer
  • a boxing match has 12 rounds , every round lasts for 3 mins, between every two rounds there is a pause that lasts for 2 mins . h
    10·2 answers
  • A manufacturer keeps track of her monthly costs by using a cost function this assigns a total cost for a given number of manufac
    10·1 answer
  • What are the y values of y=2+2x/5
    13·1 answer
  • What is the slope of this line??
    10·2 answers
  • What is the value of angle k
    15·1 answer
  • If I get a bill at restaurants for $17.25
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!