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zhannawk [14.2K]
3 years ago
15

At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25

minutes. Using the empirical rule, approximately what percent of red lights last between 2.5 and 3.5 minutes?
Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

Answer:

95%

Step-by-step explanation:

According to the empirical rule,

68% of the distribution falls within 0ne standard deviation of the mean.

95% percent falls within two standard deviations of the mean

99.7% falls within three standard deviations of the mean.

The red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25

2.5=3-2(0.25)

3.5=3+2(0.25)

We can see that 2.5 is two standard deviations below the mean, and 3.5 is two standard deviations above the mean.

Hence the percentage of red lights that lasts between 2.5 and 3.5 is 95%

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I believe it would be 673.98

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3 years ago
A triangle has an area of 20 cm2 and a height of 5 cm. How long id the base?
RideAnS [48]

The base of given triangle is 8 cm.

Further explanation:

The area of triangle is calculated by using two methods

  • Hero's formula
  • Base and Height

Hero's formula requires all three sides of triangle while we can use only base and height in second formula.

Given

A = 20\ cm^2\\h = 5\ cm

As the area of triangle and height are given, then

A = 0.5*b*h\\20=0.5*b*5\\20=2.5b\\b=\frac{20}{2.5}\\b=8\ cm

The base of given triangle is 8 cm.

Keywords: Area of triangle, base, height

Learn more about area of triangle at:

  • brainly.com/question/4980053
  • brainly.com/question/4892332

#learnwithBrainly

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3 years ago
Find the y intercept of the following line (-2,1) and (1, 2.5)
Levart [38]

Answer:

2

Step-by-step explanation:

(-2 , 1) ; (1, 2.5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

         \frac{2.5-1}{1-[-2]}\\\\= \frac{1.5}{1+2}\\\\=\frac{1.5}{3}\\\\= 0.5

m =0.5

y -y1 =m(x -x1)

y - 1 = 0.5(x - [-2])

y - 1 = 0.5(x + 2)

y -1 = 0.5x + 0.5*2

y - 1 =0.5x + 1

  y = 0.5x + 1 + 1

 y = 0.5x + 2

y-intercept = 2

4 0
3 years ago
Pls help me guys!<br> Thanks =D
Natasha_Volkova [10]
108 in^2

Because,

As you can see, inside the trapezoid has the square.
AND
A = lw
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9 * 12 = 108

Hope
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TØP
6 0
4 years ago
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At what interest rate compounded continuously would you have to invest $350 dollars to have $800 available?
egoroff_w [7]

Answer:

350 plus what will give u 800

Step-by-step explanation:

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3 years ago
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