What is the likelihood of throwing a 4 with a single throw of a die?

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

so

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

so

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

3 years ago

Jaime and Allison were both trying to solve the equation 12x=2/3

denis23 [38]

Answer:allison

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

At the north campus of a performing arts school, 30% of the students are music majors. At the south campus, 70% of the stude

Ivenika [448]

Answer:

The north campus had 600 students (180 music majors)

The south campus had 400 students (280 music majors)

Step-by-step explanation:

x = number of students at the north campus before the merger

If the total of students for the two school is given as 1000, so:

(1000 - x) = number of students at the south campus before the merger.

The equation for music major is:

0,3x + 0,7(1000-x) = 0,46(1000)

0,3x + 700 - 0,7x = 460

0,3x - 0,7x = 460 - 700

- 0,4x = -240

x = -240/-0,4

x = 600 -----> total number of students at the north campus

600*(0,3) = 180 music majors at the north

100 - 600 = 400 ------> total number of students at the south campus

400*(0,7) = 280------>music majors at the south

4 0

3 years ago

D) Vivek is 30 years younger than his father. After 10 years their ages will be in the ratio 1:2. Find their present ages.

tangare [24]

Answer:

I think Vivek is 20 and his father is 50

Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 50

6 0

3 years ago

Read 2 more answers

What is the value of z?

Licemer1 [7]

Answer:

z = 23 degrees

Step-by-step explanation:

Total degree inside a triangle = 180

We can add up the 2 angles we got.

62 + 95 = 157

Subtract 157 from 180.

180 - 157 = 23

Check = the angle missing is an acute angle (less than 90 degrees) and 23 is less than 90 degrees so it is possible.

I hope this helped and please mark me as brainliest!

6 0

2 years ago

Read 2 more answers