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kramer
3 years ago
5

The sum of two consecutive integers is 57

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0
This statement is true!
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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian s
ArbitrLikvidat [17]

Answer:

Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more

P(X > 9) = 0.00788

Step-by-step explanation:

The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adult dogs to be sampled = 12

x = Number of successes required = number of dogs that weigh 65 lb or more

= more than 9; >9

p = probability of success = probability of a dog weighing 65 lb or more = 0.45

q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

Solving each of these probabilities, using the binomial distribution formula

P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

= 0.00679820806 + 0.00101130368 + 0.00006895252

= 0.00787846427

= 0.00788 to 3 s.f

Hope this Helps!!!

3 0
3 years ago
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4(3x-2)+6x(2-1) simplified
FrozenT [24]

Answer:

The answer is 18x - 8.

Step-by-step explanation: Trust me, an know a lot about math.

6 0
3 years ago
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Im not understanding this question
natita [175]

It's said "The value √-9 is not -3 because --------------------

So you need to prove why -3 is not the value of √-9.


As you know (-3)^2 = (-3) * (-3) = 9, ≠ -9


Answer is A. 

(-3)^2 ≠ -9

7 0
3 years ago
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If the original function () = 22 − 1 is shifted to the left 3 units to make the
Rom4ik [11]

A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

If k is positive, the function is translated to the left. If k is negative, the function is translated to the right.

So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

4 0
3 years ago
G(x)=2x-5<br> find g(g(2x))
irina1246 [14]

Answer:

jdndndnd

I don't know sorryy

6 0
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