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2 years ago

First question- Mean of: 95, 18, 51, 1, 22, 5

2 answers:

8 0

To find the mean, add up the numbers and divide the answer by the number of numbers you added up.

1) 95 + 18 + 51 + 1 + 22 + 5 = 192
192 / 6 = 32
The mean of the numbers is 32.

2) 67 + 103 + 94 + 65 + 18 + 114 + 94 + 63 + 94 + 27 = 739
739 / 10 = 73.9
The mean of the numbers is 73.9.

To find the median, line up all the numbers from least to greatest. Then see which number is in the middle. If there are two numbers in the middle, find the mean of the two numbers.

18, 27, 63, 65, 67, 94, 94, 94, 103, 114
67 and 94 are in the middle. The mean of 67 and 94 is 80.5.
The median is 80.5.

kati45 [8]2 years ago

7 0

The mean is 32
The median is 67

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The point (-2, -1) satisfies which of the following inequalities?

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Answer:

Step-by-step explanation:

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2 years ago

Jay on started off his penny collection with 1 penny. He then adds 5 pennies to his collection each day. How could you change th

nata0808 [166]

Answer:

By doubling each day

Step-by-step explanation:

Jay is increasing daily a fixed amount of pennies to his collection. That's an arithmetic series, because to obtain the next term you have to do an addition.

To get a geometric series or progression you have to find the next term through multiplication.

So, if he wants to convert his series into a geometric series, he'd have to double his contribution to his collection each day (as an example).

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2 years ago

(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf

alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have $3^n$ coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of $\frac{3^n}{3} = 3^{n-1}$ coins

Step 2: you narrow down to group of $\frac{3^{n-1}}{3} = 3^{n-2}$ coins

Step 3: you narrow down to group of $\frac{3^{n-2}}{3} = 3^{n-3}$ coins

...

Step n: Step 1: you narrow down to group of $3^{n-n} = 3^0 = 1$ coin

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2 years ago

A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let $\bar X$ = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

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3 years ago

How many decimal places are in the product of 1.91 and 2.3?

san4es73 [151]

Answer:

Step-by-step explanation:

2+1 = 3

8 0

1 year ago

Read 2 more answers