Answer:
Answer of question 1 :
Explanation:
Let x be the legs of ducks
And y be the legs of cows
According to the question,
2x + 4y = 52...…..(i) ( as ducks ahs two legs and as cows has 4 legs)
As he has 21 animals in total so,
x + y = 21...…..(ii)
We have make the equation. We will solve them by eliminatory method or substitution method. Here, I'll go for substitution method.
From equation (ii)
x = 21 - y....…..(iii)
Putting the value of x in equation (i),
2x + 4y = 52
2( 21 - y ) + 4y = 52
42 - 2y + 4y = 52
2y = 52 - 42
y = 10/2
y = 5 ( He has 2 cows)
putting the value of y in equation (ii)
x + y = 21
x + 5 = 21
x = 21 -5
x = 16 ( He has 16 ducks)
Hello oddworld7836!

Factor the expression into an equivalent form 12y² - 75.


By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...

Now, bring the 3 (common factor) & rewrite the complete expression.

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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Hope it'll help you!
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I’ll take brainliest as well if your willing to give it.
Name: Fadinglight
Grade: 10th
Answer:
0.9726
Explanation:
The computation of the probability of a sample mean is shown below:

To find the probability first we have to determine the z score which is

= 1.92
Now probability is

= 0.9726
Hence, the probability of the sample mean is 0.9726
We simply applied the above formulas to determined the probability of a sample mean and the same is to be considered