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frez [133]
3 years ago
6

6) Copy and complete each sequence below.A)1,3,6,10,___,____b)8,7,5,2,____,____c)1,4,9,16,____,_____d) What is the pattern for c

? Describe in words.
Mathematics
2 answers:
agasfer [191]3 years ago
7 0

Answer:

A. 1, 3, 6, 10, 15, 21

B. 8, 7, 5, 2, -2, -7

C. 1, 4, 9, 16, 25, 36

Step-by-step explanation:

A number sequence is a list of numbers governed by a rule. The rule governing the numbers is used to determine other numbers that follow in the sequence.

A. In this sequence, the rule is to increase the difference between the previous two numbers by 1 and then add the result to the last number in the sequence.

(10 - 6) + 1 = 5

5 + 10 = 15

Also (15 - 10) + 1 6

6 + 15 = 21

B. The rule here is to subtract 1 from the negative difference between the previous two numbers in the sequence and then add the result to the last number in the sequence.

(2 - 5) - 1 = -4

2 + (- 4) = -2

Also, (-2 - 2) - 1 = -5

-2 + (-5) = -7

C. The rule here is to square the numbers starting from 1.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36 and so on.

Free_Kalibri [48]3 years ago
5 0

Answer:

A) 15,21

B) -2,-7

C) 25,36

D) These numbers are square roots of 1,2,3,4,....

Hope this will help:)

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Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the
elena55 [62]

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

4 0
3 years ago
Which expression is a difference?
Lynna [10]
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5 0
3 years ago
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Which of the fallowing best completes the sequence below???
Svetradugi [14.3K]

Answer:

C)25

Step-by-step explanation:

5,10,15,20.... (Add 5)

next is 25

8 0
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A rectangle has a perimeter of 26 cm and one of its sides has a length of 5 cm sketch a rectangle and label all of its sides len
vovikov84 [41]
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A researcher examines 27 water samples for mercury concentration. The mean mercury concentration for the sample data is 0.097 cc
jonny [76]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.0074

n = number of samples = 27

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 27 - 1 = 26

Since confidence level = 90% = 0.90, α = 1 - CL = 1 – 0.9 = 0.1

α/2 = 0.1/2 = 0.05

the area to the right of z0.05 is 0.05 and the area to the left of z0.05 is 1 - 0.05 = 0.95

Looking at the t distribution table,

z = 1.706

The critical value is 1.706

Margin of error = 1.706 × 0.0074√27

= 0.0024

The 90% confidence interval is

0.097 ± 0.0024

4 0
3 years ago
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