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DochEvi [55]
3 years ago
9

The height of a lighthouse in Pensacola, Florida, is 150 feet. Standing next to the statue, Natalie casts a 1.1-foot shadow. She

is 5.5 feet tall. How long would the shadow of the lighthouse be?
Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

30 feet

Step-by-step explanation:

  • Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;

           1.1 : 5.5

  • The two are related by a factor of 1/5
  • We can use this factor to establish the shadow cast by the penthouse;

       1/5 * 150

        = 30

Learn More:

For more about relationships by ratios check out;

brainly.com/question/11961256

brainly.com/question/12548098

#LearnWithBrainly

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The answer is 6 with a remainder of 4
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A sphere has a radius of 6m
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Answer: 1,325.4

Step-by-step explanation: look it up first, before going to brainly

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3 years ago
The lifetimes of a certain type of light bulbs follow a normal distribution. If approximately 2.5% of the bulbs have lives excee
spin [16.1K]

Answer:

Mean = 339 hours

Standard deviation = 54 hours

Step-by-step explanation:

We are given that approximately 2.5% of the bulbs have lives exceeding 445 hours

So,P(x>445) = 0.025

P(x<445) =1- 0.025 =0.975

 z value for 0.975 is 1.96

Formula : z=\frac{x-\mu}{\sigma}

So, 1.96=\frac{445-\mu}{\sigma}

1.96 \sigma =445-\mu--A

Now we are given that  approximately 16% have lives exceeding 393 hours,

So,P(x>393) = 0.16

P(x<393) =1- 0.16 =0.84

 z value for 0.84 is 1

Formula : z=\frac{x-\mu}{\sigma}

So, 1=\frac{393-\mu}{\sigma}

1 \sigma =393-\mu ---B

Solve A and B

Substitute the value of \sigmafrom B in A

1.96 (393 -\mu) =445-\mu

770.28 -1.96\mu=445-\mu

770.28 -445=1.96\mu-\mu

325.28=0.96\mu

\frac{325.28}{0.96}=\mu

338.83=\mu

Substitute the value in B

\sigma =393-338.83

\sigma =54.17

So, mean = 339 hours

Standard deviation = 54 hours

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3 years ago
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The answer is X=23 and y=9
4 0
3 years ago
Mr Wade imports and sells carbon road bikes and carbon mountain bikes. He sells at least 6 road bikes per week
bonufazy [111]

Answer:

c)  Conclusion:

<em>The system of inequalities is:</em>

  • 2.5r + 4m ≤ 40
  • r ≥ 0
  • m ≥ 0

Explanation:

<em></em>

<em><u>1. Define the variables</u></em>

  • r = number of carbon road bikes
  • m = number of carbon mountain bikes

<em><u>2. List the system of inequalities</u></em>

a) Time: maximum 40 hours a week

   i) From "each road bike takes 2.5 hours to make":

  • time to make r carbon road bikes: 2.5r

   ii) From "each mountain bike takes 4 hours to make""

  • time to make m carbon mountain bikes: 4m

   iii) Constraint:

  • time ≤ 40
  • 2.5r + 4m ≤ 40

<u>b) Natural constraints:</u>

Neither r nor m can be negative:

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  • m ≥ 0

c)  Conclusion:

The system of inequalities is:

  • 2.5r + 4m ≤ 40
  • r ≥ 0
  • m ≥ 0

4 0
3 years ago
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