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2 months ago

What number comes next in the series? 31, 1031, 402, 16, ____

Mathematics

1 answer:

lawyer [12.5K]2 months ago

4 0

Answer:

Someone has previously provided an answer to this question, and I must attribute it to writersparadise. All credit goes to him/her.

Step-by-step explanation:

There can be various responses to this query. Usually, the next number following 16 has digits that add up to 8.

Explanation:

First number 31 – The digits add up to 3 + 1 = 4

Second number 1031 – The sum of the digits is 1 + 0 + 3 + 1 = 5

Third number 402 – The digits sum to 4 + 0 + 2 = 6

Fourth number 16 – Adding the digits gives 1 + 6 = 7

Thus, the missing number could either be the single digit 8 or any of these two-digit options: 17, 26, 35, 44, 53, 62, 71, or 80. It may also include larger numbers consisting of the digits from the mentioned two-digit figures combined with 0, like 260 or 7001.

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Response:

Option B is correct

Step-by-step breakdown:

$H_0: x bar =2\\H_a: x bar$

(One-tailed test at a significance level of 5%)

n = 16 and x̄ = 1.97

s = 0.1

Standard error of the mean = $\frac{s}{\sqrt{n} } \\=0.025$

Difference in means = $1.97-2 =-0.03$

t statistic = Difference in means/se = -1.2

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p-value = 0.124375

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1 month ago

Men absolute deviation of 14, 8, 7,6,5,10,11,8,8,6

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I am not very familiar with this topic, but it seems to me that the average is around 8, which would suggest a deviation of approximately 2.

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2 months ago

A man standing at a window 5 meters tall watches a falling ball pass by the window in 0.3 seconds. From how high above the top o

babunello [11817]

Answer:

The height is 11.76 meters.

Step-by-step explanation:

To solve this problem, the following equations are necessary:

The first one relates initial and final velocities, taking into account that gravity is 9.81 m/s² and the time is 0.3 seconds:

Vf = Vo + g * t = Vo + 9.81 * 0.3

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The second one also connects initial and final velocities, but this time with distance S, which we know to be 5 meters:

Vf² = Vo² + 2 * g * S

Vf² = Vo² + 2 * 9.81 * 5

Vf² = Vo² + 98.1 (2)

We now have two equations with two unknowns. By substituting (1) into (2):

(Vo + 2.943)² = Vo² + 98.1

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Canceling Vo² and rearranging gives us:

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2 months ago

Automobile repair costs continue to rise with the average cost now at $367 per repair (U.S. News & World Report website, Jan

babunello [11817]

Reply:

$\mu = 367$

$\sigma = 88$

a. What is the likelihood that the cost will exceed $450?

We need to determine P(x > 450)

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Consult the z table:

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Therefore, the probability that the repair costs will surpass $450 is 0.1736

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We need to establish P(x<250)

Formula: $z=\frac{x-\mu}{\sigma}$

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Referencing the z table:

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c)What is the likelihood that the repair cost is in the range of $250 and $450?

P(250<z>

Therefore, the likelihood that the repair costs will fall between $250 and $450 is 0.733

d) If your car repair expense ranks in the lowest 5% of all automobile repair costs, what would your payment be?

p = 0.05

checking against the z table

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$-1.65=\frac{x-367}{88}$

$-1.65 \times 88=x-367$

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$221.8=x$

Thus, if your repair price falls within the lowest 5% of car repair costs, the amount charged would be $221.8

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