Ask question

Ask question

All categories

3 years ago

9

In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequ

ence? What would be the first and last numbers be? (6, 14, 30, 62, 126)

1 answer:

Mama L [17]3 years ago

5 0

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

You might be interested in

Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f

castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean $(\mu) = 115 \times 20$

= 2300

Standard deviation = $20 \times \sqrt{115}$

Standard deviation (SD) = 214.4761

TO find:

a) $P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{1200}{214.4761})$

$P(x > 3500)= P(Z >5.595)$

From the Z-table, since 5.595 is > 3.999

$P(x > 3500)=1-0.9999$

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean $(\mu) = \dfrac{0+0.5}{2}$

= 0.25

Replacement time for the Standard deviation $\sigma = \dfrac{0.5-0}{\sqrt{12}}$

$\sigma = 0.1443$

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = $\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}$

= $\sqrt{(115\times 400) +(114\times 0.02082249}$

= $\sqrt{(46000) +2.37376386}$

= $\sqrt{(46000) +(2.37376386)}$

= $\sqrt{46002.374}$

= 214.482

Now; the required probability:

$P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})$

$P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})$

$P(x > 4125) = P(Z >8.376)$

$P(x > 4125) =1- P(Z$

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0

2 years ago

At restaurants waiters typically receive tips that average 15% of the customer’s bill. At this rate, which of the following is t

kodGreya [7K]

Answer:

B $12.69

Step-by-step explanation:

Divide 84.63 by 100 to get 1% of the bill and then multiply the answer by 15 for 15% and round it:

$\frac{84.63}{100} \times 15 = 12.6945$

The closest answer would be B $12.69.

3 0

3 years ago

Add 20 and 12, then, raise the sum to the 2nd power.

zubka84 [21]

The answer to the question they gave you is D

4 0

2 years ago

Gustav needed to bake at least 252 cookies for the luncheon. He baked 8 batches of peanut butter cookies with 12 cookies in each

spin [16.1K]

Answer:

He made 10.4 batches of chocalate chip cookies.

He made 156 chocalate chip cookies and 96 peanut butter cookies.

Step-by-step explanation:

Sense there's a total of 252 cookies you would subtract the 96 cookies from 252 to get 156 then divide it by 15 to get 10.4 which is how much batches he made of chocalate chip cookies.

Tasty!

6 0

3 years ago

Read 2 more answers

Are these ratios equivalent 3/7, 18/42

galina1969 [7]

Yes, the two ratios are equivalent. If you multiply both the numerator and the denominator by 6, you will get 18/42.

3 0

3 years ago

Read 2 more answers