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Yakvenalex [24]

3 years ago

8

Is 3(–2) + 7(2) equivalent to (–3)(–3) + (–1)(1)? Let negative numbers be represented with a "–" symbol and positive numbers be

represented by "+" symbol. Use a pictorial model to justify your answer.

1 answer:

jek_recluse [69]3 years ago

3 0

3(-2) + 7(2) = 8
(-3)(-3) + (-1)(1) = 8
yes

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3 years ago

The standard deviation and the mean of 16 values are 15.6 and 20.5. What is the coefficient of variation ?

EastWind [94]

Answer:

CV = coefficient of variation = 0.761

Step-by-step explanation:

The coefficient of variation is defined as the standard deviation divided by the mean of a population, which in this case,

standard deviation = 15.6

mean = 20.5

CV = coefficient of variation = 15.6/20.5 = 0.761

Note that if the 16 values form a sample (i.e. not the entire population), the above result is an estimate of the CV.

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2 years ago

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2 years ago

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

Artyom0805 [142]

Answer:

$s = \frac{3}{10}m$

Step-by-step explanation:

Given

Mass = 30g

Spring Stretch = 9cm

Variation: Direct Variation

Required

Equation that relates the mass of the object, m, and the length of the spring, s

Let m represents mass and s represents length of the spring

Given that s varies directly to m;

This implies that

$s\ \alpha\ m$

Convert the above to an equation

$s = km$ ; where k is the constant of variation;

The next step is to solve for k

Divide both sides by m

$\frac{s}{m} = \frac{km}{m}$

$\frac{s}{m} = k$

$k = \frac{s}{m}$

From the given parameters;

when m = 30; s = 9.

$k = \frac{9}{30}$

Divide the numerator and denominator by 3

$k = \frac{3}{10}$

To get the equation that relates the mass of the object to the length of the spring

Substitute $k = \frac{3}{10}$ in $s = km$

This becomes

$s = \frac{3}{10}m$

Hence, the equation that relates the mass and length is $s = \frac{3}{10}m$

3 0

3 years ago

Read 2 more answers

Rick ran his last race a 5k in 32 minutes if his next race is an 8k how many minutes will it take him to complete the race if he

Tom [10]

Answer:

52.2 minutes

Step-by-step explanation:

If Rick ran 5k in 32 minutes, then 32/5 is the time that it takes to run a single kilometer. Then we can multiply that value by 8 to see the time that it takes to run 8k.

3 0

2 years ago