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fgiga [73]
1 year ago
14

A random survey of the quality of city park is taken.sixty-five percent of the people surveyed were pleased with the condition o

f the parks.if 182 people were pleased,how many were surveyed
Mathematics
2 answers:
Maurinko [17]1 year ago
7 0

Answer:

280 people

Step-by-step explanation:

Given that 65% of people surveyed were pleased with condition of the park.

Given that those pleased were 182 people, then finding the total number of people surveyed will be;

65%= 182 people

100%= ?--------------------cross multiply

\frac{65}{100} *x=182\\\\\\65x=18200\\\\\\x=\frac{18200}{65} \\\\\\x=280

Lunna [17]1 year ago
3 0

Answer:  280

Step-by-step explanation:

Given : A random survey of the quality of city park is taken.

65% of the people surveyed were pleased with the condition of the parks.

here, 65%  can be written as 0.65.

Let x be the total number of people surveyed.

If 182 people were pleased, then we have

0.65x=182\\\\\Rightarrow\ x=\dfrac{182}{0.65}=280

hence, the number of people were surveyed = 280

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Natalija [7]

Answer:

Sophie will get <u>$56</u> in exchange.

Step-by-step explanation:

Given:

TravelEz sells dollars at a rate of ($1.40)/(1 euro).

And dollars they buy at a rate of ($1.80)/(1 euro).

Sophie exchanged $540 to get 300 euros, at the beginning of trip.

And, she is left with 40 euros at the end of trip.

So exchanges the euros back to dollars.

Now, to find the dollars Sophie will get in exchange.

Let the dollars Sophie will get in exchange be x.

The rate at which TravelEz sells dollars = \frac{\$1.40}{1\ euro}

Number of euros Sophie is left with = 40.

Now, to get the dollars she will get we set proportion:

<em>As, </em>\$1.40<em> is equivalent </em>1\ euro<em>.</em>

<em>So, </em>x<em> is equivalent to </em>40\ euros<em>.</em>

Thus,

\frac{1.40}{1} =\frac{x}{40}

By cross multiplying we get:

56=x

x=\$56.

Therefore, Sophie will get $56 in exchange.

5 0
2 years ago
Simplify: sin8x cos3x + cos8x sin3x
UkoKoshka [18]

Answer: sin11x

step by step solution :

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1 year ago
Each chair installed in the new chapel requires 24 inches of clearance. If each row cannot be greater than 35 feet in length, ho
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35 - 24 = 11 charis can fit
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Charlie has the utility function u(xa, xb) =xaxb.his indifference curve passing through 32 applesand 8 bananas will also pass th
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<span>On an indifference curve, all bundles give the same amount of utility. (32,8) gives a utility of U(32,8)=32x8=256 If (4,y) is on the same indifference curve, then it must give the same utility. Hence, 256 = 4y y=64 64 bananas</span>
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The number of hours Layla worked each week for the first eight weeks of summer break are recorded below.
Rainbow [258]

Answer: The value of the center increases and the distribution has a smaller spread.

Step-by-step explanation:

Re - arranging the first value in ascending order , we have :

12 ,14, 16 , 19, 21 , 22 , 28 , 32

Median = 19 + 21 / 2

            = 40/2

            = 20

Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean

Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32  / 8

Mean = 164/8

Mean = 20.5

Therefore to calculate the standard deviation, we need to calculate the variance, which  is

(12-20.5)^{2} +(14-20.5)^{2} + (16-20.5)^{2} + (19-20.5)^{2} + (21-20.5)^{2} + (22-20.5)^{2} + (28-20.5)^{2} + (32-20.5)^{2}  / 8

Variance = 328/8

Variance = 41

Standard deviation = \sqrt{variance}

S.D = \sqrt{41}

S.D = 6.4

Also re arranging the second values , we have :

20 , 24 , 25 , 31

Median = 24 + 25 / 2

Median = 49/2

Median = 24.5

Calculating the S.D using the same format , the S.D = 3.9

Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread

8 0
2 years ago
Read 2 more answers
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