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Leni [432]
2 years ago
7

Which statement is correct about the product of 4/5 ​​and ​ 11/9

Mathematics
1 answer:
borishaifa [10]2 years ago
4 0

<u>Answer:</u>

  • Statement D is correct.

<u>Step-by-step explanation:</u>

Let's work on the product given.

  • => 4/5 x 11/9
  • => 4 x 11/9 x 5
  • => 44/45

Now, let's verify all options.

<u>- Option A -</u>

  • Statement: Because 11/9 is greater than 1, the product of 4/5 and ​11/9 is less than 4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because the result we got from the product is greater than 4/5 while the statement states that the result should be less than 4/5. Hence, this is incorrect.

<u>- Option B -</u>

  • Statement: Because 11/9 is less than 1, the product of 4/5 and ​11/9 is greater than 4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because 11/9 is not less than 1.

<u>- Option C -</u>

  • Statement: Because 11/9 is less than 1, the product of 4/5 and 11/9 is less than ​4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because 11/9 is not less than 1.

<u>- Option D -</u>

  • Statement: Because 11/9 is greater than 1, the product of 4/5 and ​11/9​ is greater than ​4/5.
  • Correct/Incorrect: The statement is correct.
  • Reason: This is because 11/9 is greater than 1 and the product is greater than 4/5. Hence, this statement is correct.

<u>Conclusion:</u>

We can now conclude that statement D is correct.

Hoped this helped.

BrainiacUser1357

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Answer:

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Step-by-step explanation:

7 0
3 years ago
A rectangular photograph has an area of 65 square inches. If the length of the photo is 3 inches less than twice it's height, fi
tankabanditka [31]
A = L * H
A = 65
L = 2H - 3

65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0

-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches

H + 5 = 0
H = -5....this wont work because it is negative

L = 2H - 3
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L = 13 - 3
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4 0
3 years ago
1/4(1-2/3)^2+1/3 Simplify
MrMuchimi

Simplifying the expression gives 13/ 36

<h3>How to solve the expression</h3>

Given;

1/4(1-2/3)^2+1/3

Represented as;

\frac{1}{4} * ( 1  - \frac{2}3} )^2 + \frac{1}{3}

Take the LCM of the bracket

\frac{1}{4} * ( \frac{1}{3} )^2 + \frac{1}{3}

Find the square

\frac{1}{4} (\frac{1}{9} )+ \frac{1}{3}

Find the LCM

\frac{1}{36} + \frac{1}{3}

1 + 12/36

13/ 36

Thus, simplifying the expression gives 13/ 36

Learn more about fractions here:

brainly.com/question/1622425

#SPJ1

6 0
1 year ago
Read 2 more answers
How to find where a function is discontinuous?
Katen [24]
The discontinuous at the x-value for which the denominator was zero is removable, I hope this help
3 0
3 years ago
A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the prob
kiruha [24]

Answer:

31.77% probability the surgery is successful for exactly five patients.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. So we use the binomial probability distribution 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.

A surgical technique is performed on seven patients.

This means that n = 7

You are told there is a 70% chance of success.

This means that p = 0.7

Find the probability the surgery is successful for exactly five patients.

This is P(X = 5).

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

P(X = 5) = C_{7,5}.(0.7)^{5}.(0.3)^{2} = 0.3177

31.77% probability the surgery is successful for exactly five patients.

5 0
3 years ago
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