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worty [1.4K]
3 years ago
10

What does this sign mean?

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

If stock prices are falling that’s a good time to buy

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An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
marissa [1.9K]

<u>Question Completion</u>

(b) Use the possibility diagram to calculate the probability that the product of the two numbers is

I) A prime number

ii) Not a perfect square

iii) A multiple of 5

iv) Less than or equal to 21

v) Divisible by 4 or 6

Answer:

I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]\\

(a) The possibility diagram of the product of the two numbers appearing on the die in each throw

1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64

(b)

I) A prime number

Number of Products which are prime numbers = 8 

P$(Product is a prime number)=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125

ii) Not a perfect square  

Number of products which are perfect squares =11

 P$(Product is Not a perfect square)=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125

iii) A multiple of 5

Number of Products that are multiples of 5=15

P$(A multiple of 5)=\dfrac{15}{64}\\=0.234375

iv) Less than or equal to 21

Number of products less than or equal to 21=40

P$(Less than or equal to 21)=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625

v) Divisible by 4 or 6

Products Divisible by 4 or 6= 42

P$(Divisible by 4 or 6)=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625

5 0
3 years ago
if the apy of a savings account is 3.9% and if the principal in the savings account is $3,700 for an entire year what will be th
daser333 [38]

Answer:

The balance of the savings account after all the interest is paid for the year​ is $3,844.30

Step-by-step explanation:

In the question we have been given the Annual percentage yield as 3.9% , the principal as 3,700 and the time to be 1 year and asked to determine the accumulated amount in the savings account at the end of the year.

The accumulated amount can be determined using the compound interest formula;

A=p(1+r)^{n} \\A = 3700(1+\frac{3.9}{100})^{1}\\ A=3844.30

Therefore, the balance of the savings account after all the interest is paid for the year​ is $3,844.30

7 0
3 years ago
Help ASAP!!!!! Please!!!
Phantasy [73]
1. 20, there is 4 1/2s so that is 2 and there is 18 whole squares.
2. 10x8 =80
80/2=40. answer is 40
7 0
2 years ago
PLEASE HELP!!! THIS IS A LINEAR EQUATIONS AND INEQUALITIES
motikmotik
The line x=4 is a straight vertical line. If we were to measure it's slope using rise over run, we will get 0 in the denominator because there is no change in the x direction. Therefore, the slope of the line is undefined.





7 0
2 years ago
8 to the power of x =2<br> write down the value of x
tensa zangetsu [6.8K]

Answer:

a third 1/3

Step-by-step explanation

first write the equation

express 8 to power form = 2^3x don't forget the unknown , which is x

it becomes ; 2^3x = 2^1

since the base numbers are same, cancel them.

equate the powers ; 3x=1

divide both sides by the number next to the unknown to get the answer.

3 0
3 years ago
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