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notsponge
2 months ago
13

Lincoln and Hunter work at a dry cleaners ironing shirts. Lincoln can iron 30 shirts per hour, and Hunter can iron 20 shirts per

hour. Lincoln and Hunter worked a combined 15 hours and ironed 350 shirts. Determine the number of hours Lincoln worked and the number of hours Hunter worked.
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
5 0

Answer: Lincoln spent 5 hours working while Hunter dedicated 10 hours to their task.

Step-by-step explanation:

Let x denote the hours Lincoln was employed.

Let y signify the hours put in by Hunter.

Lincoln can iron 30 shirts every hour, and Hunter handles 20 shirts per hour. Together, they managed to iron a total of 350 shirts. Therefore, we have the equation:

30x + 20y = 350 - - - - - - - - - - - 1

The total working hours for Lincoln and Hunter combined is 15.

This leads to the equation:

x + y = 15

By substituting x = 15 - y into equation 1, we arrive at:

30(15 - y) + 20y = 350

450 - 30y + 20y = 350

- 30y + 20y = 350 - 450

- 10y = - 100

y = - 100/ - 10

y = 10

x = 15 - y = 15 - 10

x = 5

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An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this
zzz [12365]

Answer:

the speed value produced by the radar equipment.

Step-by-step explanation:

In an experiment, a random variable is typically referred to as a dependent variable. In this context, the random variable pertains to the speed value produced by the radar equipment. This value is reliant on the actual speeds of the cars that go past the equipment. A higher speed results in a greater value shown by the radar. Thus, it relies entirely on the automobiles.

8 0
2 months ago
In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?
Zina [12379]
A deck contains 13 groups of 4 cards, indicating 13 unique ways to select four cards sharing the same face value. Any subsequent card drawn will necessarily represent a different face value. Consequently, the total combinations for selecting 5 cards—4 of which share the same face value and 1 diverging—amount to 13 x 48.

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5 0
1 month ago
Energy drink consumption has continued to gain in popularity since the 1997 debut of Red Bull, the current leader in the energy
tester [12383]

Answer:

1. 3.767

2. 0.145

Step-by-step explanation:

Define X as the exam scores and Y as the number of drinks.

X     Y   X-Xbar    Y-Ybar   (X-Xbar)(Y-Ybar)    (X-Xbar)²       (Y-Ybar)²    

75    5    -2.3          2.3          -5.29                      5.29              5.29

92    3     14.7         0.3           4.41                       216.09           0.09

84    2     6.7         -0.7           -4.69                     44.89             0.49

64    4     -13.3        1.3           -17.29                     176.89           1.69

64    2     -13.3       -0.7           9.31                       176.89           0.49

86    7     8.7           4.3           37.41                     75.69            18.49

81     3     3.7           0.3           1.11                         13.69             0.09

61     0    -16.3        -2.7           44.01                     265.69          7.29

73    1      -4.3         -1.7            7.31                        18.49             2.89

93    0    15.7         -2.7           -42.39                    246.49          7.29

sumx=773, sumy=27, sum(x-xbar)(y-ybar)= 33.9, sum(X-Xbar)²= 1240.1,sum(Y-Ybar)²= 44.1

Xbar=sumx/n=773/10=77.3

Ybar=sumy/n=27/10=2.7

1.

Cov(x,y)=sxy=\frac{Sum(X-Xbar)(Y-Ybar)}{n-1}

Cov(x,y)=33.9/9

Cov(x,y)=3.76667

Thus, the sample covariance of exam scores and energy drink consumption is 3.767

2.

Cor(x,y)=r=\frac{Sum(X-Xbar)(Y-Ybar)}{\sqrt{Sum(X-Xbar)^2sum(Y-Ybar)^2} }

Cor(x,y)=r=\frac{33.9}{\sqrt{(1240.1)(44.1)} }

Cor(x,y)=r=33.9/233.85553

Cor(x,y)=r=0.14496

The sample correlation coefficient for the relationship between exam scores and energy drink consumption is 0.145.

7 0
2 months ago
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