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IRISSAK [1]
3 years ago
15

A pyramid has a square base whose side measures 23 dm. if the height is 14.5 dm, what is its volume?

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

111.1666667 is the answer I believe (๑・ω-)~♥”

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What is the best order-of-magnitude for 0.000006?
seraphim [82]
So,

Optimally, we want a number between 1 and 10 multiplied by a power of ten.

If we move the decimal place 6 places to the right, we get 6.

So we want 10^{-6}.

The correct option is C.
7 0
3 years ago
Which represents the solution set of 5(x+5) <85
Evgesh-ka [11]
You havent added the options
6 0
3 years ago
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An equation is shown below:
n200080 [17]
The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

So the correct answer is the third option.
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3 years ago
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The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
4 years ago
Select the correct answer from each drop-down menu.
zepelin [54]
<h3>Answer:</h3>

y = 0.1x +1500

<h3>Explanation:</h3>

You need an equation that will give Gary a salary of $1500 even if he makes no sales (x=0). The only possible choice for the second item is then ...

... +1500

You are expected to know that Gary's commission of 10% of sales is computed by multiplying sales (x) by 10%. That is, if Gary sells $100 worth of items, his commission is ...

... 10% × $100 = $10

That is, the multiplier is 0.1.

Gary's salary (y) is then computed as

... y = 0.1x +1500

_____

<em>Comment on percentages</em>

The % symbol is a shorthand way to write /100. That is, 10% = 10/100, ten hundredths, or 0.10. (You might notice here that "percent" and "hundredths" can be used interchangeably.)

3 0
3 years ago
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