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Andrew [12]
2 years ago
12

What comes next in the following pattern? 12, 11, 15, 14, __

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
7 0

Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

\bf{Grace}\sf{ful\rm{Teen

Enjoy your day!

Lelechka [254]2 years ago
5 0
17,16. That what comes next I think
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d1i1m1o1n [39]

Answer:

B. 30.526

Step-by-step explanation:

Just subtract.

58.20

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30.526

7 0
3 years ago
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) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
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Check orthogonality with normal vectors using scalar products
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<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

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5 0
3 years ago
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
IrinaVladis [17]

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

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0.08 = 2.575*\frac{0.72}{\sqrt{n}}

0.08\sqrt{n} = 2.575*0.72

\sqrt{n} = \frac{2.575*0.72}{0.08}

(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

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3 years ago
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Answer:

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Step-by-step explanation:

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