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erik [133]
3 years ago
12

Can someone help please

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

I would say B. The mean is a good measure of central tendency.

I hope this helps!


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Write a second inequality with the same meaning -12<= a
alexira [117]

Answer:

a\geq-12 or -48\leq4a

Step-by-step explanation:

7 0
2 years ago
Let P(n) be the statement that n! < nn where n is an integer greater than 1.
Ira Lisetskai [31]

Answer: See the step by step explanation.

Step-by-step explanation:

a) First, Let P(n) be the statement that n! < n^n

where n ≥ 2 is an integer (This is because we want the statement of P(2).

In this case the statement would be (n = 2): P(2) = 2! < 2^2

b) Now to prove this, let's complet the basis step:

We know that 2! = 2 * 1 = 2

and 2^2 = 2 * 2 = 4

Therefore: 2 < 4

c)  For this part, we'll say that the inductive hypothesis would be assuming that k! < k^k for some k ≥ 1

d) In this part, the only thing we need to know or prove is to show that P(k+1) is also true, given the inductive hypothesis in part c.

e) To prove that P(k+1) is true, let's solve the inductive hypothesis of k! < k^k:

(k + 1)! = (k + 1)k!  

(k + 1)k!  < (k + 1)^k  < (k + 1)(k + 1)^k

Since k < k+1 we have:

= (k + 1)^k+1

f) Finally, as the base and inductive steps are completed, the inequality is true for any integer for any n ≥ 1. If we had shown P(4)

as our basis step, then the inequality would only be proven for n ≥ 4.

6 0
2 years ago
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
Vladimir [108]

Answer:

Reyna Puti sold = 20 bottles

Step-by-step explanation:

Silver duck = Php 10 per bottle

Reyna Puti = Php 15 per bottle

Silver duck sold = 30 bottles

Reyna Puti sold = x bottles

Total sales = Php 600.00

Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold

600 = 10 * 30 + 15 * x

600 = 300 + 15x

600 - 300 = 15x

300 = 15x

x = 300/15

x = 20 bottles

Reyna Puti sold = 20 bottles

3 0
2 years ago
I need the right answer please
Tpy6a [65]

Answer:

a) i) x = 6, y = 9

ii) 20

iii) -5

b) -40

Step-by-step explanation:

3(6) - 2(9)

18 - 18 = 0

greatest

3(10) - 2(5)

30 - 10

20

least

3(5) - 2(10)

15 - 20

-5

5(a - 4b)

5[-7 - 4(¼)]

5(-7 - 1)

5(-8)

-40

7 0
3 years ago
Find all solutions for the equation. x^2 +4x -8 =0​
siniylev [52]

Answer:20

Step-by-step explanation:

7 0
3 years ago
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