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2 years ago

Multiply. 32√⋅28√⋅3√⋅6√

Mathematics

2 answers:

STALIN [3.7K]2 years ago

5 0

Answer: 48√7

Step-by-step explanation:

inn [45]2 years ago

5 0

Answer: $48\sqrt{7}\\$

Step-by-step explanation:

= √(4×8)×√(4×7)×√3×√(3×√2)

= √4×√8×√4×√7×√3×√3×√2 ( because √(m×n)=√m×√n)

=√4×√4×√8×√2×√7×√3×√3

=4×√(4×2)×√2×√7×3

=4×√4×√2×√2×√7×3

=4×2×2×√7×3

=48√7

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A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water

Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in $\frac{t}{(x - y)}$ minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,

And water is pumped out by pipe Y at the rate Y gallons per minute,

Then, together in one minute the amount of water filled will be x – y gallons [as X is greater than Y]

Now, the time take to fill tank = $=\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}$

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3 years ago

A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

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Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

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Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

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3 years ago

Isolate the variable 4m=92

const2013 [10]

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3 years ago

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kolbaska11 [484]

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Step-by-step explanation:

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3 years ago

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