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Korvikt [17]
3 years ago
12

Find the perimeter of a regular octagon if one of its sides is x + 6 and another side is 14 – x.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

  80 units

Step-by-step explanation:

The sides of a regular octagon are all the same length.

  x +6 = 14 -x

  2x = 8 . . . . . . add x-6

  x = 4

  x+6 = 10 . . . . the length of each of the 8 sides

P = 8s = 8(10) = 80

The perimeter of the octagon is 80 units.

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The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 mont
natita [175]

To solve the problem we must know about Z-Score.

<h3>What is Z-score?</h3>

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Z = \dfrac{X- \mu}{\sigma}

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

  • Mean, μ = 48 months,
  • standard deviation, σ = 8 months,
  • Z-Score = -3

<h3> What is the life span of an appliance?</h3>

The life span of the appliance can be calculated using the Z-score formula,

Z = \dfrac{X- \mu}{\sigma}

Substitute the values,

-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

Learn more about Z-score:

brainly.com/question/13299273

6 0
3 years ago
The graph of the distance a car travels at a constant speed passes through the points (0,0) and 2,136). The x scale is hours and
Zepler [3.9K]

We are given that

y-scale is a distance in miles

x-scale is a time in hours

and we are given

The graph of the distance a car travels at a constant speed passes through the points (0,0) and (2,136)

so, points would be

(0,0)

x1=0 , y2=0

(2,136)

x2=2 , y2=136

so, slope would be speed

because speed = distance / time

we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{136-0}{2-0}

m=68 miles per hour

so, option-B..........Answer


6 0
3 years ago
Read 2 more answers
I need to get all of them solved by tomorrow, and I have no idea where to start with any of them
Tems11 [23]

Answer:

1- x=4,3

2- x= 2, 5/6

3- x= i dont know

4- b-

 c-

d- 2x\frac{3}{2}

6 0
3 years ago
4. Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 ft long. What will be
RideAnS [48]

Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
a spinner is divided into eight equal parts numbered 1 to 8. if the spinner is spun once, what is the probability that it stops
Step2247 [10]
Since the total number of available selections is divided by two, the probability is 50%.  If we look at the total set of numbers, we find that even numbers are multiples of 2.  2, 4, 6, 8 (which makes up half of the numbers on the spinner).

4 0
3 years ago
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