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sdas [7]
3 years ago
12

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the a

pproximate height of the tree to the nearest foot?
Mathematics
2 answers:
AysviL [449]3 years ago
7 0
So, the man is 6 feet, but casts a 9 foot shadow. So, you divide 25 by 9, and then you would find it goes into it 2.8 times, so round and get 3 if you want,or keep it. And then 12, or round to 13.
storchak [24]3 years ago
3 0
Could you solve this using similar triangles?

6/x = 9/25
cross multiply
9x = 150

x = 16.66

Assuming it can be done this way, the tree should be about 17 feet tall
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lianna [129]

Answer:

it will take 1.4 hours for the two trains to be 294 miles apart

Step-by-step explanation:

Let t be the time taken for each train

The westbound train travels at 95 miles per hour.

Speed of westbound train = 95

time = t

Distance = speed * time = 95 t

The eastbound train travels at 115 miles per hour

Speed of eastbound train = 115

time = t

Distance = speed * time = 115 t

both trains are 294 miles apart means the distance between both trains are 294 miles

So we add the distance of both trains and set it equal to 294

95t + 115t = 294

210 t =294

t = 1.4

So, it will take 1.4 hours for the two trains to be 294 miles apart

6 0
3 years ago
2 people working at the same rate will take 6 hours to paint a room.
zavuch27 [327]

Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

7 0
2 years ago
The following results come from two independent random samples taken of two populations.
photoshop1234 [79]

Answer:

(a)\ \bar x_1 - \bar x_2 = 2.0

(b)\ CI =(1.0542,2.9458)

(c)\ CI = (0.8730,2.1270)

Step-by-step explanation:

Given

n_1 = 60     n_2 = 35      

\bar x_1 = 13.6    \bar x_2 = 11.6    

\sigma_1 = 2.1     \sigma_2 = 3

Solving (a): Point estimate of difference of mean

This is calculated as: \bar x_1 - \bar x_2

\bar x_1 - \bar x_2 = 13.6 - 11.6

\bar x_1 - \bar x_2 = 2.0

Solving (b): 90% confidence interval

We have:

c = 90\%

c = 0.90

Confidence level is: 1 - \alpha

1 - \alpha = c

1 - \alpha = 0.90

\alpha = 0.10

Calculate z_{\alpha/2}

z_{\alpha/2} = z_{0.10/2}

z_{\alpha/2} = z_{0.05}

The z score is:

z_{\alpha/2} = z_{0.05} =1.645

The endpoints of the confidence level is:

(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}

2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}

2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}

2.0 \± 1.645 * \sqrt{0.0735+0.2571}

2.0 \± 1.645 * \sqrt{0.3306}

2.0 \± 0.9458

Split

(2.0 - 0.9458) \to (2.0 + 0.9458)

(1.0542) \to (2.9458)

Hence, the 90% confidence interval is:

CI =(1.0542,2.9458)

Solving (c): 95% confidence interval

We have:

c = 95\%

c = 0.95

Confidence level is: 1 - \alpha

1 - \alpha = c

1 - \alpha = 0.95

\alpha = 0.05

Calculate z_{\alpha/2}

z_{\alpha/2} = z_{0.05/2}

z_{\alpha/2} = z_{0.025}

The z score is:

z_{\alpha/2} = z_{0.025} =1.96

The endpoints of the confidence level is:

(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}

2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}

2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}

2.0 \± 1.96 * \sqrt{0.0735+0.2571}

2.0 \± 1.96* \sqrt{0.3306}

2.0 \± 1.1270

Split

(2.0 - 1.1270) \to (2.0 + 1.1270)

(0.8730) \to (2.1270)

Hence, the 95% confidence interval is:

CI = (0.8730,2.1270)

8 0
3 years ago
A hot air balloon has a altitude of 100 1/2
Shtirlitz [24]
Question:
A hot air balloon has an altitude of 100 ½.
answer:
what’s the catch, is there anymore to this problem?
explanation:
therefore, I can’t help you, sorry.
3 0
2 years ago
(2+1/2) (2^2-1+1/4) find the expression in the form of cubes and differences of two terms.​
Elden [556K]

Answer:

<u>Consider the following identity:</u>

  • a³ - b³ = (a + b)(a² - ab + b²)

<u>Let a = 2, b = 1/2</u>

  • (2 + 1/2)(2² - 2*1/2 + 1/2²) =
  • 2³ - (1/2)³ =
  • 8 - 1/8
8 0
3 years ago
Read 2 more answers
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