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3 years ago

PLEASE HELP ASAP!!!! WILL GIVE BRAINLYEST!!!!

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

Step-by-step explanation:

1. An event that is certain is something that will definitely happen, such as the sun will rise tomorrow, or when rolling a six sided die, it will land on 1 - 6.

Something impossible, includes events that will never happen, such as pig will fly, or when rolling a six sided die, it will land on 7.

2. The experimental probability may be different to the theoretical probability as theoretical probability is only theory, and when trying something out in real life, there is a high chance that it will be different.

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State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

Explicit Formula

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

Explicit Formula:

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

Recursive Formula

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

$h(n)=1.1+0.4(n-1)\\$

Recursive Formula

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school

Alex17521 [72]

Answer:

4:5

Step-by-step explanation:

half of 16 is 8, and half of 8 is 4

and half of 20 is 10, and half of 10 is 5

hope i helped man

8 0

3 years ago

Income tax paid to the federal government is based on your _______________.

Kryger [21]

Answer: C final income

Step-by-step explanation: I might be wrong but im pretty sure that its C.

Good Luck!

3 0

3 years ago

Read 2 more answers

I don’t know how to solve this problem,

xxTIMURxx [149]

Answer:

380/week

Step-by-step explanation:

all u do is 1520 divide by 4 (bc he makes 1520 in 4 weeks) and that would equal 380 per week.

hoped that helped:P

6 0

2 years ago

Read 2 more answers

Which of the following is in order from largest to smallest?

IRISSAK [1]

Answer:

9, 7, -1, -2

Step-by-step explanation:

-2 is smaller than -1

7 0

3 years ago