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nikklg [1K]
2 years ago
8

Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan

ts to make a sign from
each remaining part of the poster board. How many signs can he make?
Mathematics
2 answers:
emmainna [20.7K]2 years ago
8 0
out of the 10 his brother took two sheets out of the 10 that would leave him with 8 out of 10,left
yawa3891 [41]2 years ago
4 0

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= \frac{1}{10} of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= \frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8

Hence, Pedro can make 8 signs.

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The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan
Schach [20]

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

Z=\dfrac{x-\mu }{\sigma }

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

Z=\dfrac{11.4-24.4 }{6.5 } = -2

The z-score for 37.4 is given as follows;

Z=\dfrac{37.4-24.4 }{6.5 } = 2

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes =  0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

Z=\dfrac{x-\mu }{\sigma }

Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466

7 0
2 years ago
What is the balance on an amortized loan of $110,000 after the first payment if the interest rate is 5.5% with a monthly P&amp;I
marishachu [46]
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
.. I = 504.17

Then the decrease in principal resulting from the first payment is
.. 568.00 -504.17 = 63.83
and the new balance is
.. $110,000.00 -63.83 = $109,936.17
4 0
2 years ago
In a statewide soccer competition, 36 games were played. Each team participating in the competition played once with every other
Tomtit [17]

Answer:

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

8 0
2 years ago
Read 2 more answers
Polygon CCC has an area of 404040 square units. Kennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 2 1
dsp73
The area of polygon D is given by:
 Ad = k ^ 2 * Ac
 Where,
 k: scale factor
 Ac: area of polygon C
 Substituting the values we have:
 Ad = (1/2) ^ 2 * (40)
 Ad = (1/4) * (40)
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 Answer:
 
the area of Polygon D is:
 
Ad = 10 square units
7 0
2 years ago
Read 2 more answers
State the reason why MN = LK .<br><br> Given:<br> KLMN is a parallelogram.
Tamiku [17]

Answer:

MN = LK because of the definition of a 'parallelogram'.

Step-by-step explanation:

We are given a parallelogram KLMN.

We know that a 'parallelogram' is a quadrilateral which have two opposite sides parallel and equal in length.

Therefore, from parallelogram KLMN, we get,

MN║LK and ML║NK

MN = LK and ML = LK.

Hence, we that MN = LK because of the definition of a 'parallelogram'.

9 0
2 years ago
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