All categories

1 year ago

Please help I’ll mark you as brainliest if correct!

Mathematics

2 answers:

Anna11 [10]1 year ago

6 0

Answer: 1, 8, 3

Step-by-step explanation: +7 jumps.

2 + 7 = 9

9 + 7 = 16 ..... In traditional clock 16 is 4 O'clock.

4 + 7 = 11

11 + 7 = 18 ..... In traditional clock 18 is 6 O'clock.

6 + 7 = 13 ..... In traditional clock 13 is 1 O'clock.

now: next three terms in order are

1 + 7 = 8

8 + 7 = 15 ..... In traditional clock 15 is 3 O'clock.

3 + 7 = 10

The next three terms are: 1,8,3.

2, 9, 4, 11, 6, 1, 8, 3.

kakasveta [241]1 year ago

4 0

Answer:

..., 1, 8, 3

Step-by-step explanation:

You want the sequence of clock face numbers that starts 2, 9, 4, 11, 6, ....

<h3>Clock face sequence</h3>

The numbers in the given sequence are each 7 hours after the one before. 7 hours after a given hour is the same as 5 hours before on a 12-hour clock.

Continuing the sequence by adding 7 or -5 to the previous value to keep within the range [1, 12], we get ...

2, 9, 4, 11, 6, 1, 8, 3, 10, 5, 12, 7, 2 (and repeats from here)

The next three numbers in the sequence are 1, 8, 3.

Additional comment

We have described the sequence as the function ...

$f(1)=2\\\\f(n)=\begin{cases}f(n-1)+7&\text{for }f(n-1) < 6\\f(n-1)-5&\text{for }f(n-1)\ge 6\end{cases}$

The sequence can also be described by the explicit function ...

$f(n)=1+\!\!\!\mod\!(7n+6,12)$

You might be interested in

Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 What is the valu

ivann1987 [24]

Answer:

negative 14

Step-by-step explanation:

took the on edge

8 0

2 years ago

Read 2 more answers

Write an expression to represent: The sum of ten and the quotient of a number x and 6.

Minchanka [31]

Let us break it down. A sum of ten. That is just

+10

Then, we will add that to the quotient (which is the number after dividing) of a number x and 6. We can write that as

+ x/6

The slash means division here. Thus your final answer is

10 + x/6

8 0

2 years ago

Help me please ASAP!!!!!!

FrozenT [24]

Answer:

45 degrees

Step-by-step explanation:

Ok I think it is 45 degrees try that if not super sorry

3 0

2 years ago

Somebody PLEASE HELP ME FAST ASAP

sesenic [268]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Of the entering class at a college, % attended public high school, % attended private high school, and % were home schoole

Veronika [31]

Answer:

(a) The probability that the student made the Dean's list is 0.1655.

(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

Step-by-step explanation:

The complete question is:

Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.

a) Find the probability that the student made the Dean's list.

b) Find the probability that the student came from a private high school, given that the student made the Dean's list.

c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.

Solution:

Denote the events as follows:

A = a student attended public high school

B = a student attended private high school

C = a student was home schooled

D = a student made the Dean's list

The provided information is as follows:

P (A) = 0.71

P (B) = 0.21

P (C) = 0.08

P (D|A) = 0.16

P (D|B) = 0.19

P (D|C) = 0.15

(a)

The law of total probability states that:

$P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})$

Compute the probability that the student made the Dean's list as follows:

$P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)$

$=(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655$

Thus, the probability that the student made the Dean's list is 0.1655.

(b)

Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:

$P(B|D)=\frac{P(D|B)P(B)}{P(D)}$

$=\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411$

Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c)

Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:

$P(C^{c}|D^{c})=1-P(C|D^{c})$

$=1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185$

Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

3 0

2 years ago