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laiz [17]
3 years ago
12

Solve the system using submsitution x+y=-10 y=5x+2

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

x+y= -10

y=5x+2

solution

x+(5x+2)= -10

x+5x+2= -10

6x+2= -10

6x= -10-2

6x= -12

6x/6= -12/6

x= -2

while y=5x+2

y= 5(-2)+2

y= -10+2

y= -8

x= -2, y= -8

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In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.
finlep [7]

Answer:

The third quartile is 56.45

Step-by-step explanation:

The given parameters are;

The first quartile, Q₁ = 30.8

The median or second quartile, Q₂ = 48.5

The mean, \bar x = 42.0

Coefficient of skewness = -0.38

The Bowley's coefficient of skewness (SK) is given as follows;

SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}

Plugging in the values, we have;

-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}

Which gives;

-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5

11.704 - 0.38·Q₃ = Q₃ - 66.2

1.38·Q₃ = 11.704 + 66.2 =  77.904

Q₃ = 56.45

The third quartile = 56.45.

5 0
4 years ago
Draw 2 squares. The first one should have an area of 12 square units.The second one should have an area that is DOUBLE that of t
statuscvo [17]

Step-by-step explanation:

Given the information:

  • 1st square:  12 square units
  • 2nd square: DOUBLE that of the first square = 2*12 = 24 square units

From that, we can determine the length of the side in each square:

1/ x^{2} = 12

<=> x = 2\sqrt{3}

2/ a^{2} = 24

<=> a = 2\sqrt{6}

Please have a look at the attached photo.

Hope it will find you well.

6 0
3 years ago
What is the outlier of 29, 2, 28, 30, 26, 31
Vladimir [108]

Answer:

2

Step-by-step explanation:

Given the data : 29, 2, 28, 30, 26, 31

Outlier ;

Lower :Q1 - (1.5 * IQR)

Upper : Q3 + (1.5 * IQR)

Q1 = Lower quartile ; Q3 = upper quartile ; IQR = Interquartile range

Using calculator :

Q1 = 26

Q3 = 30

IQR = (Q3 - Q1) = 30 - 26 = 4

Lower : 26 - (1.5 * 4) = 20

Upper : 30 + (1.5 * 4) = 36

Hence, the number in the given data which falls outside the range is 2

4 0
3 years ago
A typist can type 4800 words per hour. How many words can she type in 1 minute?
Colt1911 [192]

Answer: 80

1 hour= 60mins

So to know how many words can she type in 1 min, we do the math "4800 : 60"

5 0
3 years ago
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.
aleksklad [387]

The answers are

1). warmer

2). higher

3). end behavior

<h3>What is Refrigerator?</h3>

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

Learn more about Refrigerator from:

brainly.com/question/13150661

#SPJ1

4 0
2 years ago
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