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2 years ago

How are special right triangles used in finding the area of a regular hexagon?

Mathematics

1 answer:

musickatia [10]2 years ago

6 0

Answer:

To find the area of the hexagon,we will first find the area of each equilateral triangle then multiply it by 6.

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If you input 2 and 2 is the output and if you input 4 and the output is 6 and if you input 5 and the output is 8 what is the inp

Dominik [7]

Answer:

Step-by-step explanation:

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2 years ago

A pair of shoes is in a ‘35% off’ sale. The recommended retail price (RRP) is £86. How much do the shoes cost in the sale?

9966 [12]

Answer:

Without tax the shoes would cost £55.9.

Step-by-step explanation:

To get this you take the £86 and multiply it by 0.65 because with the 35% sale you are paying for 65% of the item. You get this number by subtracting 35 from 100 and convert it into a decimal.

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3 years ago

What’s the correct answer

Dafna11 [192]

2 number is ryt ans

6 0

3 years ago

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An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth

Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Let $\bar X$ = sample mean improvement

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = mean improvement = 655.6 vehicles per hour

$\sigma$ = standard deviation = 311.7 vehicles per hour

n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < $\bar X$ < 728.1) = P( $\bar X$ < 728.1) - P( $\bar X$ $\leq$ 583.1)

P( $\bar X$ < 728.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z < 1.64) = 0.9495

P( $\bar X$ $\leq$ 583.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z $\leq$ -1.64) = 1 - P(Z < 1.64)

= 1 - 0.9495 = 0.0505

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.

Therefore, P(583.1 < $\bar X$ < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0

3 years ago

What is 8:4 I'm a first grader and I need help pleasee

oksian1 [2.3K]

Answer:

2:1

Step-by-step explanation:

hope this helps you!!

5 0

2 years ago

Read 2 more answers