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UkoKoshka [18]
2 years ago
7

A string of decorative lights is 22 feet long. The first light on the string is 16 inches from the plug. The

Mathematics
1 answer:
Masteriza [31]2 years ago
5 0

Answer:

63 Lights

Step-by-step explanation:

First you can convert the feet to inches:

The length of decorative lights is 264 inches

You can then subtract 16 from 264

264 - 16 = 248

248/4 = 62

Adding one extra light at the end of the string of decorative lights you can get 63 lights on the string

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What is a unit form of (2 tens 1 one) × 10
Rama09 [41]
Two tens and one one multiplied by 10 is:

(20 + 1) * 10 = 21 * 10 = 210
4 0
3 years ago
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
tekilochka [14]

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

<u>1/4</u> = <u> x </u>

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

5 0
2 years ago
The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days
Lelu [443]
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0
3 years ago
When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75
dybincka [34]

Answer:

  M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

  M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

  = 1.43(51.175h) = 73.18025h

The composite function is ...

  M(h) = M(B(L(h))) = 73.18025h

7 0
3 years ago
What is i^84? a) -i b) i c) -1 d) 1
mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0
3 years ago
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