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Dahasolnce [82]
2 years ago
7

You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha

t is 18 feet long.  If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground.  Round your answer to the nearest foot.  (Hint: make a drawing)

Mathematics
1 answer:
siniylev [52]2 years ago
6 0
The drawing shows the rock height to be 64 ft.

The shadow lengths are proportional to the object heights, so we have
   (rock height)/(209.5 ft) = (5.5 ft)/(18 ft)
   (rock height) = (209.5 ft)*(5.5/18) ≈ 64.01 ft

The height of the rock from the ground is about 64 ft.

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The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is
Alexxandr [17]

Answer:

1.) No ;

2.) - 0.931

3.) 0.1785

Step-by-step explanation:

Given :

μ = 84.3 ; xbar = 81.9 ; s = 17.3

H0 : μ = 84.3

H1 : μ < 84.3

The test statistic :

(xbar - μ) ÷ (s/√(n))

(81.9 - 84.3) / (17.3/√45)

-2.4 / 2.5789317

= - 0.9306

= - 0.931

Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44

Using the Pvalue calculator :

Pvalue(-0.9306, 44) = 0.1785

Using α = 0.05

The Pvalue > α

Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3

5 0
2 years ago
Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression
Bumek [7]

The mathematical expression for the given statement is 50 + 10x

<h3>How to write a mathematical expression for this statement?</h3>

The given parameters are:

Initial distance = 50 laps

Rate of increment = 10 laps each week

Represent the number of weeks with x

So, we have:

Number of laps = Initial distance + Rate of increment * Number of weeks

This gives

Number of laps = 50 + 10 * x

Evaluate

Number of laps = 50 + 10x

Hence, the mathematical expression for the given statement is 50 + 10x

Read more about expressions at:

brainly.com/question/723406

#SPJ1

8 0
1 year ago
If EG=50 , and point F is 2/5 of the way between e and g,find the value FG A.30 B.25 C.40 D.20
noname [10]

Answer:

b is the ans

Step-by-step explanation:

6 0
2 years ago
What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?​
Ierofanga [76]

Answer:

an=an-1

Step-by-step explanation:

as it doesnt have -6 +3n

5 0
2 years ago
Dan makes a pineapple sorbet. He uses 3 lemons. Work out how many people he makes pineapple sorbet for.
seropon [69]

Answer:

N/A

Step-by-step explanation:

There is not enough information to answer with a number.


6 0
2 years ago
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