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2 years ago

Make a conjecture about the rules these patterns follow.

Mathematics

2 answers:

lora16 [44]2 years ago

7 0

Make a conjecture about the rules these patterns follow.

1. 3, 6, 9, 12, 15

2. 9, 3, 1, 1/3, 1/9

3. a, c, e, g, i, k, m

4. 0, 5, -2, 3, -4, 1, -6

5. 4, 8, 16, 32, 64, 128

6, 0.1, 0.01, 0.001, 0.0001

mihalych1998 [28]2 years ago

6 0

Step-by-step explanation:

1) 3, 6, 9, 12, 15

6 - 3 = 9 - 6 = 12 - 9 = 15 - 2
Each term is 3 more than the previous term.

2) 9, 3, 1, 1/3, 1/9

3/9 = 1/3 = (1/3)/1 = (1/9)/(1/3) = 1/3
Each term is 3 times less then the previous term.

3) a, c, e, g, i, k, m

a = 1, c = 3, e = 5, g = 7, i = 9, k = 11, m = 13
Each letter is 2 places right from the previous letter of English alphabet

4) 0, 5, -2, 3, -4, 1, -6

5 - 0 = 5, -2 - 5 = -7
3 - (-2) = 5, -4 - 3 = -7
1 - (-4) = 5, -6 - 1 = - 7
Each odd numbered term is 7 less than the previous term, each even numbered term is 5 more than the previous term

5) 4, 8, 16, 32, 64, 128

8/4 = 16/8 = 32/16 = 64/32 = 128/64 = 2
Each term is twice the previous term

6) 0.1, 0.01, 0.001, 0.0001

0.1/0.01 = 0.01/0.1 = 0.001/0.01 = 0.0001/0.001 = 0.1
Each term is 10 times less than the previous term

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20. The H.M. between 2 and 8 is (1 marks )

e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0

3 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

The graph of y = Vx is translated 3 units to the left and 4 unitsdown.

Bezzdna [24]

You isolate the v and move 3 units down to the left which leads u to 10. Hope this helped

7 0

3 years ago

Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

4 years ago

If the formula pictured below is used to find the mean of the following sample, what is the value of N?

Pie

Answer:

Choice D). 8

Step-by-step explanation:

The value on n is simply the number of values or the size of the sample data. In our case, we have a total of 8 data values. The value of n will thus be 8

8 0

3 years ago

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