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creativ13 [48]
3 years ago
8

If EG= 30 and EF=11, then FG=

Mathematics
1 answer:
Luda [366]3 years ago
8 0
Check the picture below.

since all three points are colinear, then  FG = EG - EF.

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-2x + 11 + 6x = ?????
tekilochka [14]
4 x + 11
Hope that helps
4 0
3 years ago
Convert 4.2% to an<br> equivalent decimal.
hjlf

Answer:

4.2% = 0.042

Step-by-step explanation:

You need to divide the percentage by 100 to get its equivalent decimal:

100% = 1 because

100 ÷ 100 = 1

Therefore,

4.2% = 0.042 because

4.2 ÷ 100 = 0.042

Hope this helped :)

5 0
2 years ago
The value of y is inversely proportional to the value of x. When y=42, x=6.
NARA [144]
Because x and y are inversely proportional, there is some constant k such that

xy=k

Given that y=42 and x=6, we have

k=6\times42=252

So when x=9, you have

9y=252\implies y=\dfrac{252}9=28
4 0
3 years ago
The quotient of a number and -9 increased by 10.3 is 11.3. What is the equation?
Zepler [3.9K]

Answer:

x/-9+10.3=11.3

Step-by-step explanation:

5 0
3 years ago
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
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