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nordsb [41]
3 years ago
12

Change 37 1/2% to a fraction

Mathematics
1 answer:
spayn [35]3 years ago
4 0
<span>= (37 1/2%)/100%
= (75/2)/100
= 75/200 or (75/25)/(200/25)
= 3/8

Answer: 3/8</span>
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Given that 8x – 3y = 36
Vedmedyk [2.9K]

Answer:

x = 45/8

Step-by-step explanation:

8x – 3y = 36

Let y=3

8x – 3*3 = 36

8x - 9 = 36

Add 9 to each side

8x -9+9 = 36+9

8x = 45

Divide each side by 8

8x/8 = 45/8

x = 45/8

4 0
3 years ago
Read 2 more answers
Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t
baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that p = 0.05

Fifty calculators are randomly selected from the production line and tested for defects.

This means that n = 50

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0
2 years ago
Which of the following is the third value for the data set below
Tcecarenko [31]

Answer:

Step-by-step explanation:

Ur mom

8 0
3 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Convert 60 quarts to gallons. 60 qt = ? gal Will the converted amount have more or fewer units than the original? ​
san4es73 [151]

Answer: 15 gallons .

Step-by-step explanation:

Step 1

4 quarts = 1 gallon

therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts

= 15 gallons .

Step 2-- The converted amount which is 15  has fewer units than the original which is 60.

7 0
3 years ago
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