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3 years ago

What is the probability of getting exactly one 4 on four rolls of a die, given that all results are greater than 3?

Mathematics

1 answer:

Blizzard [7]3 years ago

5 0

not much on the probability of getting exactly one 4 on four rolls of a die

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Show work and explain with formulas.

3241004551 [841]

14 Answer: 28

Step-by-step explanation:

$S_\infty=\dfrac{a_1}{1-r}\\\\\sum\limits^\infty_{n=1} 35\bigg(-\dfrac{1}{4}\bigg)^n\implies a_1=35,\ r=-\dfrac{1}{4}\\\\\\S_\infty=\dfrac{35}{1-\bigg(-\dfrac{1}{4}\bigg)}=\dfrac{35}{\dfrac{5}{4}}=35\times \dfrac{4}{5}=7\times 4=\large\boxed{28}$

15A Answer: 49

Step-by-step explanation:

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\\sum\limits^7_{i=1} i+3\\\\a_1=1+3\quad =4\\a_7=7+3\quad =10\\n=7\\\\\\S_7=\dfrac{a_1+a_7}{2}\cdot 7\\\\\\.\ =\dfrac{4+10}{2}\cdot 7\\\\\\.\ =\dfrac{14}{2}\cdot 7\\\\\\.\ =7\cdot 7\\\\.\ =\large\boxed{49}$

15B Answer: 12

Step-by-step explanation:

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\\sum\limits^{10}_{k=3} k-5\\\\a_3=3-5\quad =-2\\a_{10}=10-5\quad =5\\n=8\\\\\\S_8=\dfrac{a_3+a_{10}}{2}\cdot 8\\\\\\.\ =\dfrac{-2+5}{2}\cdot 8\\\\\\.\ =\dfrac{3}{2}\cdot 8\\\\\\.\ =3\cdot 4\\\\.\ =\large\boxed{12}$

16 Answer: $\sum\limits^5_{n=1} 3n-2$

Step-by-step explanation:

$\{1, 4, 7, 10, 13\}\implies a_1=1,\ d=3,\ n=5\\\\\text{The explicit rule for an arithmetic sequence is: }a_n=a_1+d(n-1)\\\\a_n=1+3(n-1)\\\\.\ =1+3n-3\\\\.\ =3n-2\\\\\large\boxed{\sum\limits^5_{n=1} 3n-2}$

8 0

3 years ago

35% of the total length of the screen at the IMAX is 51.8 feet what is the total length of the screen?

nordsb [41]

All you have to do is add 51.8 +35 which will equal 55.3

4 0

3 years ago

There are 3 times as many dogs as cats.

vazorg [7]

Answer:

there are 12 dogs.

Step-by-step explanation:

d= dogs now plug in the 4 into your equation.

c= cats d=3(4)

d+c=16 d=12

3c+c=16

4c=16 SO THEREFORE THERE ARE 12 DOGS :)

c=4

7 0

3 years ago

Graph the line with slope 3/4 passing through the point (1,4) .

Valentin [98]

To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.

4 = 3/4 + b

b = 13/4

That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).

The graph looks like this:

3 0

4 years ago

Round 1,287 to the nearest thousands place

alexdok [17]

Answer:

1000

Step-by-step explanation:

If a number is higher than 5 round up. If its 4 or lower round down

3 0

3 years ago

Read 2 more answers