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Sergeu [11.5K]
3 years ago
14

Helpppp!!! Make a conjecture about the number of units produce in 50 hours

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
I think it would be 35/50 for the number of units produced in 50 hours. I had a question similar to this in a McGraw Hill Grade 8 math book.
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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
frosja888 [35]

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

8 0
3 years ago
A triangle has a 90° angle. What type of triangle is it?
CaHeK987 [17]

Answer:

Its a right triangle

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.b)work out the mean of the
ratelena [41]

Answer: Mean: 17.14                                                                                           Range: 20.

Step-by-step explanation: 12+13+13+15+16+19+32                             25+13+15+16+19+32                                                                                             38+15+16+19+32                                                                                               53+16+19+32                                                                                                         69+19+32                                                                                                               88+32                                                                                                                     120/7                                                                                                                     17.14                                                                                                                                                    

32-12                                                                                                                       20

6 0
3 years ago
PLEASE HELP ILL GIVE 25 POINTS FOR IT
Naddik [55]
90/2 = 45 degrees twices
These both are 45 degrees which is less than 90
3 0
3 years ago
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