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algol [13]
1 year ago
8

1 meter lightining cable weight 85 grams empty spool weight is 260 gram he have total weight 1540gram what is the answer

Mathematics
1 answer:
mrs_skeptik [129]1 year ago
5 0

According to the information given in the exercise:

• 1 meter of lightning cable weight 85 grams.

,

• An empty spool weighs 260 grams.

,

• Ted weighs the partly used spool shown in the picture and its total weight is 1540 grams.

Then, knowing this, let be "x" the number of meters of cable left on the spool.

You can set up the following using the information given in the exercise:

Total\text{ }weight=Empty\text{ }spool+85(Meters\text{ }of\text{ }cable)

Knowing that:

\begin{gathered} Total\text{ }weight=1540 \\ Empty\text{ }spool=260 \end{gathered}

You can set up that:

1540=260+85x

Therefore, solving for "x", you get:

\begin{gathered} 1540-260=85x \\  \\ \frac{1540-260}{85}=x \end{gathered}x\approx15.059

Hence, you can conclude that the answer is: Second option.

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Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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3 years ago
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Answer:

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Step-by-step explanation:

First, isolate the absolute value:

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Answer:

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2 years ago
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