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Alchen [17]
2 years ago
7

A building has eight levels above ground and one level below ground. The height of each level from floor to ceiling is 14 1/2 fe

et. What is the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground? Assume the floor at ground level is at an elevation of zero feet.
Mathematics
2 answers:
vovangra [49]2 years ago
6 0
The net change in elevation is 72.5 feet
natta225 [31]2 years ago
5 0

Answer: There is net change of -58 feet from the floor of the underground level to the ceiling of the fourth level above ground.

Step-by-step explanation:

Since we have given that

Number of levels above ground = 8

Number of levels of building below ground = 1

Height of each level from floor to ceiling = 14\dfrac{1}{2}\ feet=\dfrac{29}{2}\ feet

So, we need to find the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground.

Let us assume that the floor at ground level is at an elevation of zero feet.

So, Height of fourth level above ground is given by

\dfrac{29}{2}\times 4\\\\=29\times 2\\\\=58\ feet

so, Net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground is given by

0-58 feet = -58 feet.

Hence, there is net change of -58 feet from the floor of the underground level to the ceiling of the fourth level above ground.

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A runner competes in a local marathon. He places 34th which is exactly the top 40% of all runners. How many runners competed
laiz [17]

Answer:

85 runners

Step-by-step explanation:

we know that

34th represent 40% of all runners

so

using proportion

Find out the total number of runners

\frac{34}{40\%}=\frac{x}{100\%}\\\\x=34(100)/40\\\\x= 85\ runners

6 0
2 years ago
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballga
cricket20 [7]

<u>Events</u> A and B are called <u>independent</u>, when

Pr(A\cap B)=Pr(A)\cdot Pr(B),

otherwise events A and B are <u>dependent</u>.

The events A, B and A∩B are:

  • A - Jane will go to a ballgame on Monday;
  • B - Kate will go to a ballgame on Monday;
  • A∩B - Kate and Jane both go to the ballgame on Monday.

Pr(A)=0.73,\ Pr(B)=0.61,\ Pr(A\cap B)=0.52.\\ \\ Pr(A)\cdot Pr(B)=0.73\cdot 0.61=0.4453\neq 0.52=Pr(A\cap B).

Answer: events A and B are dependent


4 0
2 years ago
Read 2 more answers
Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S
Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0
2 years ago
Concentric circles are circles with the same center but different radii. Which equations represent concentric circles along with
Harrizon [31]
<span>(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
</span>are the correct answers
7 0
2 years ago
Read 2 more answers
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
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