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velikii [3]
3 years ago
12

Could someone please give me the correct answer? id appreciate it

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer: A = 198.6cm²

Step-by-step explanation: The figure includes two semi circles on both ends. These can be solved as a whole circle with a diameter of 10cm because each semi circle is 5cm.

r = 10/2= 5cm

Area of circle:

A = πr²

A = 3.142*5²

A = 3.142*25

A = 78.55

A = 78.6cm²

The remaining section of the shape is a rectangle with a length of 12cm.

To get this, you subtract 10 from 22 because each semi circle is 5cm which adds up to 10cm.

The rectangle has a width of 10cm.

Area of rectangle:

A = lw

A = 12*10 = 120cm²

The total area of the shape:

A = 120 + 78.6

A = 198.6cm²

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