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ankoles [38]
3 years ago
13

Subtract the fractions and simplify the answer 7 8/9-5 3/5

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0
One way in which to do this problem would involve subtracting 5 from 7 (result:  2) and then subtracting 3/5 from 8/9.
To subtract 3/5 from 8/9, you'd need to find the lowest common denominator (LCD) of 3/5 and 8/9, convert both fractions to have this LCD, and then subtract.

The LCD is (5)(9)=45.  Then 8/9 and 3/5 become 40/45 and 27/45.

Subtracting 27/45 from 40/45 results in the fraction 13/45.
Then the full solution is  2 13/45.

You could also do this problem by converting  7 8/9    and   5 3/5 into improper fractions:

71/9 - 28/5.  Again, the LCD is 45.  Can you rewrite both fractions with 45 as the common denominator and then perform the subtraction?
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70% of the students applying to a university are accepted. Assume the requirements for a binomial experiment are satisfied for 1
marshall27 [118]

Answer:

a) 0.3826

b) 0.9894

Step-by-step explanation:

We are given the following information:

We treat students accepted at university as a success.

P(students accepted at university) = 70% = 0.70

Then the number of students accepted at university follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) P( 8 or more will be accepted)

P(x \geq 8) = P(x = 8) + P(x = 9) + P(X=10)\\\\= \binom{10}{8}(0.7)^8(1-0.7)^2 +  \binom{10}{9}(0.7)^9(1-0.7)^1+ \binom{10}{10}(0.7)^{10}(1-0.7)^0\\\\= 0.2334 + 0.1210 + 0.0282\\= 0.3826

b) P(4 or more will be accepted)

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(X=2)-P(x=3)\\\\=1 - ( \binom{10}{0}(0.7)^0(1-0.7)^{10} +  \binom{10}{1}(0.7)^1(1-0.7)^9+ \binom{10}{2}(0.7)^{2}(1-0.7)^8+ \binom{10}{3}(0.7)^{3}(1-0.7)^7 )\\\\= 1 - 0.0106\\= 0.9894

6 0
3 years ago
Complete the congruence statement if ΔABC ≅ ΔPQR.
Aliun [14]

Answer:

the answer is C

Step-by-step explanation:

i had a test that had this same question. Hope this Helps!!! :)

7 0
3 years ago
Tony wants to make 36 party bags. Glitter pens come in packs of 6. Stickers come in sheets of 4, and balls come in packs of 3. W
Fofino [41]
Do 6•6=36
4•9=36
3•12=36
So the answer is 12
3 0
3 years ago
What is the simple quotient for 32 divide by 8/5
Softa [21]

Answer:

20

Step-by-step explanation:

32/1 / 8/5= 32/1 x 5/8= 160/8=20

4 0
3 years ago
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
ankoles [38]

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x  = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

4 0
2 years ago
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