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2 years ago

Alex swims at an average speed of 45 meters per minute. How far does he swim in 1 minute and 24 seconds?

Mathematics

1 answer:

muminat2 years ago

4 0

Answer:

63m

Step-by-step explanation:

Alex swims 45m in 1 min .

=> Alex swims 45 m in 60 secs

=> Alex swims 45/60 m in 1 sec

In 1 min & 24 secs ( or 84 secs ) , Alex can swim =

$\frac{45}{60} \times 84 = 63 \: m$

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Solve: -7 < 2x+5 < 7

kondor19780726 [428]

Answer:

$- 6 < x < 1$

Step-by-step explanation:

first things first:

$- 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x$

now:

$2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1$

now the intersection is:

$- 6 < x < 1$

4 0

3 years ago

Evaluate 7(-4) - |-6| + |4|

Zanzabum

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$= 7( - 4) - | - 6| + |4|$

$= - 28 - | - 6 | + |4|$

$= - 28 - 6 + |4|$

$= - 34 + |4|$

$= - 34 + 4$

$= - 30$

The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.

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7 0

3 years ago

What is obtained by squaring the standard deviation?

anastassius [24]

<h2>Answer:</h2>

Variance

<h2>Step-by-step explanation:</h2>

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma $\sigma$ , while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as $\sigma^{2}$