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3 days ago

Explain why there are so many pennies on Rows 1-4. How do you think the number of pennies on Rows 5-8 will compare?

Mathematics

2 answers:

zzz [11.8K]3 days ago

6 0

The variations occur due to the distinct rows of pennies

babunello [11.3K]3 days ago

3 0

The count of pennies doubles with each iteration, indicating exponential growth. Consequently, the amount of pennies in Rows 5-8 will significantly exceed that found in Rows 1-4.

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Explain the steps for dividing decimals. Write three or four sentences.

PIT_PIT [11939]

Response:

Step-by-step explanation:

Shift the decimal points in both the divisor and the dividend.

Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.

In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.

Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.

Align each digit in the quotient directly over the last digit of the dividend utilized in that step.

4 0

1 month ago

Read 2 more answers

There are S steps from the pedestal to the head of the Statue of Liberty.The number of steps in the Washington Monument is 27 le

Zina [12015]

The equation for the Washington Monument in terms of the steps for the Statue of Liberty is w = 6s - 27, which indicates that the variable should always come first. I hope this clarifies the answer, and you now know how to approach it. Wishing you a blessed and wonderful day, along with a great remainder of Black History Month!:-)

4 0

7 days ago

You toss a fair coin 10000 times. what are the odds of obtaining more than 5100 tails, approximately?

lawyer [12129]

This problem can be addressed by applying the normal approximation to a binomial distribution.
Calculations:
Mean (μ) = np = 10,000 × 0.5 = 5,000
The standard deviation (σ) is given by:
$S.D.= \sqrt{npq} = \sqrt{5000\times0.5} =50$
$z=\frac{5100-5000}{50}=2$
The probability of obtaining more than 5,100 tails is 0.0228, whereas the probability of fewer than 5,100 tails is 0.9772.
Thus, the odds of having more than 5,100 tails are:
0.0228 : 0.9772 = 1 : 42.86.

3 0

1 month ago

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probab

Svet_ta [12324]

Response: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Detailed explanation:

In Problem 8-4, the computer time-sharing system experiences teleport inquiries at an average rate of 0.1 per millisecond. We are tasked with determining the probabilities of the inquiries over a specific period of 50 milliseconds:

Given that

$\lambda=0.1\ per\ millisecond=5\ per\ 50\ millisecond=5$

Applying the Poisson process, we find that

(a) at most 12

probability= $P(X\leq 12)=\sum _{k=0}^{12}\dfrac{e^{-5}(-5)^k}{k!}=0.9980$

(b) exactly 13

probability= $P(X=13)=\dfrac{e^{-5}(-5)^{13}}{13!}=0.0013$

probability= $P(X>12)=\sum _{k=13}^{50}\dfrac{e^{-5}.(-5)^k}{k!}=0.0020$

(d) exactly 20

probability= $P(X=20)=\dfrac{e^{-5}(-5)^{20}}{20!}=0.00000026$

(e) within the range of 10 to 15, inclusive

probability= $P(10\leq X\leq 15)=\sum _{k=10}^{15}\dfrac{e^{-5}(-5)^k}{k!}=0.0318$

Thus, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

6 0

1 month ago

Below is an attempt to derive the derivative of sec(x) using product rule, where x is in the domain of secx. In which step, if a

tester [11933]

The mistake is present in step 3. According to the product rule, we find

$\dfrac{\mathrm d}{\mathrm dx}(\sec x\times\cos x)=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x+\sec x\times\dfrac{\mathrm d}{\mathrm dx}(\cos x)$