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Nitella [24]
2 years ago
10

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below. Joaquin’s scores: 7

5, 72, 85, 62, 58, 91 Trisha’s scores: 92, 90, 55, 76, 91, 74 Which supports the conclusion that Joaquin won the game? Joaquin won because the median of his scores is 73. 5 and the median of Trisha’s scores is 83. Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73. 5. Trisha won because the median of her scores is 73. 5 and the median of Joaquin’s scores is 83. Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73. 5.
Mathematics
1 answer:
ioda2 years ago
6 0

The conclusion that supports that Joaquin wins the game is:

Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

<h3>What is the median of a dataset?</h3>

In a data set involving an array of numbers, the median is usually the middle number after the data sets are arranged in order of magnitude from the lowest to the highest.

From the given information:

  • Joaquin’s scores: 75, 72, 85, 62, 58, 91
  • Trisha’s scores: 92, 90, 55, 76, 91, 74

Now, by rearranging the array of numbers, we have:

  • Joaquin’s scores: 58, 62, 72, 75, 85, 91
  • Trisha’s scores: 55, 74, 76, 90, 91, 92
  • The median score of Joaquin is = (72 + 75)/2 = 73.5
  • The median score of Trisha is = (76 + 90)/2 = 83

Therefore, we can conclude that Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

Learn more about the median of a data set here:

brainly.com/question/23962563

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. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?
lilavasa [31]

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

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The width of a rectangle is 9 in. shorter than its length. The area of the rectangle is 252 in². What is the length of the recta
erastovalidia [21]

Answer:

the length of the rectangle is, 21 in.

Step-by-step explanation:

Area of the rectangle(A) is given by:

A=lw           .....[1]

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The width of a rectangle is 9 in. shorter than its length.

⇒w = l-9

It is also given that:

The area of the rectangle is 252 in².

⇒A = 252  in².

Substitute in [1] we have;

252 = l(l-9)

⇒252 = l^2-9l

⇒l^2-9l -252 = 0

Factorize this equation:

Split the middle term;

⇒l^2-21l+12l-252=0

⇒l(l-21)+12(l-21)=0

⇒(l-21)(l+12)=0

By zero product property we have;

l-21 =0 and l+12 =0

⇒l = 21 and l = -12

Since, length cannot be in negative

⇒l = 21 in.

Therefore, the length of the rectangle is, 21 inches.

4 0
3 years ago
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