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olga2289 [7]
4 years ago
12

Need help on this equation its on the paperclip

Mathematics
1 answer:
s344n2d4d5 [400]4 years ago
3 0

Answer:

Blank 1: 1 Blank 2: 8 Blank 3: 72

Step-by-step explanation:

What it is basically saying is that 9*8 is equal to 10*8 - 1*8 [Blank 1]. 10 times any number is a friendly number, it all ends with a 0. The question is saying that it is easier to think of a friendly number and subtracting from that. 10 eights - 9 eights is equal to 1 eight. So we take away 1*8=8 from 10*8=80, or in other words, 80-8 [Blank 2]= 9*8=72 [Blank 3].

Are you starting to see what I mean?

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14 + w is the same as which expression?
Dvinal [7]

Answer:

I think it's w + 14? :3

AND I THOUGHT I SAW A KUNIMI PFP-

Step-by-step explanation:

:3

8 0
3 years ago
Explain what a​ P-value is. What is the criterion for rejecting the null hypothesis using the​ P-value approach?
ladessa [460]

Answer:

P-value or Probability value is the exact percentage where test statistics lie.The criterion for rejecting the null hypothesis using the​ P-value approach is that if P-value < Level of significance , then we reject our null hypothesis

Step-by-step explanation:

P-value or Probability value is the exact percentage where test statistics lie.

It also tells the probability of obtaining extreme results corresponding to our level of significance keeping in state that our null hypothesis is true or correct.

The criterion for rejecting the null hypothesis using the​ P-value approach is that if P-value < Level of significance , then we reject our null hypothesis i.e.  

Suppose P-value is 2.33% and Level of significance is 5%, then we will reject our null hypothesis as 2.33% < 5%.

On the other hand, if P-value > Level of significance , then we cannot reject or accept our null hypothesis.

5 0
3 years ago
Find the nth term of the sequence 7,25,51,85,127​
olya-2409 [2.1K]

Let <em>a </em>(<em>n</em>) denote the <em>n</em>-th term of the given sequence.

Check the forward differences, and denote the <em>n</em>-th difference by <em>b </em>(<em>n</em>). That is,

<em>b </em>(<em>n</em>) = <em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>)

These so-called first differences are

<em>b</em> (1) = <em>a</em> (2) - <em>a</em> (1) = 25 - 7 = 18

<em>b</em> (2) = <em>a</em> (3) - <em>a</em> (2) = 51 - 25 = 26

<em>b </em>(3) = <em>a</em> (4) - <em>a</em> (3) = 85 - 51 = 34

<em>b</em> (4) = <em>a </em>(5) - <em>a</em> (4) = 127 - 85 = 42

Now consider this sequence of differences,

18, 26, 34, 42, …

and notice that the difference between consecutive terms in this sequence <em>b</em> is 8:

26 - 18 = 8

34 - 26 = 8

42 - 34 = 8

and so on. This means <em>b</em> is an arithmetic sequence, and in particular follows the rule

<em>b</em> (<em>n</em>) = 18 + 8 (<em>n</em> - 1) = 8<em>n</em> + 10

for <em>n</em> ≥ 1.

So we have

<em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>) = 8<em>n</em> + 10

or, replacing <em>n</em> + 1 with <em>n</em>,

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8 (<em>n</em> - 1) + 10

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8<em>n</em> + 2

We can solve for <em>a</em> (<em>n</em>) by iteratively substituting:

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 2) + 8 (<em>n</em> - 1) + 2] + 8<em>n</em> + 2

<em>a</em> (<em>n</em>) = <em>a </em>(<em>n</em> - 2) + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> - 2) + 2] + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> + (<em>n</em> - 1) + (<em>n</em> - 2)) + 3×2

and so on. The pattern should be clear; we end up with

<em>a</em> (<em>n</em>) = <em>a</em> (1) + 8 (<em>n</em> + (<em>n</em> - 1) + … + 3 + 2) + (<em>n</em> - 1)×2

The middle group is the sum,

\displaystyle 8\sum_{k=2}^nk=8\sum_{k=1}^nk-8=\frac{8n(n+1)}2-8=4n^2+4n-8

so that

<em>a</em> (<em>n</em>) = <em>a</em> (1) + (4<em>n</em> ² + 4<em>n</em> - 8) + 2 (<em>n</em> - 1)

<em>a</em> (<em>n</em>) = 4<em>n</em> ² + 6<em>n</em> - 3

4 0
3 years ago
.<br> Simplify the expression.<br><br> (7 – c)(–1)
Ganezh [65]
For this, you use the Law of Distribution and multiply -1 by all terms in the parentheses. 7 • -1 = -7; -c • -1 = c. Then you combine them, but since c is a variable, -7 + c is the most simplified it can get. I hope this helped!
7 0
3 years ago
In the fifth grade there are 4/5 as many students who do not have glasses as those who do wear glasses if there are 60 students
Allushta [10]

Answer:

300 students

Step-by-step explanation:

Since 4/5 of students do not wear glasses, 1/5 of students do.  

There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses

(1/5)x = 60     is our equation.  "One-fifth of the number of students who wear glasses is 60"

Now solve for x

(1/5)x = 60

    x = 300    (multiply both sides by 5 to get rid of the fraction)

8 0
3 years ago
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