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Dafna1 [17]
3 years ago
9

Point D is on line segment CE. Given DE = x + 2, CD = 3x + 2, and

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer:

12

Step-by-step explanation:

(5x + 2) = (4x + 4)  

x + 2 = 4

x = 2

5(2) + 2 = 12

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Which are the solutions of x^2=-11x+4
jeyben [28]
<span>Simplifying X2 + -4 = 0 Reorder the terms: -4 + X2 = 0 Solving -4 + X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X2 = 0 + 4 X2 = 0 + 4 Combine like terms: 0 + 4 = 4 X2 = 4 Simplifying X2 = 4 Take the square root of each side: X = {-2, 2}</span>
5 0
3 years ago
In a class of 34 students
musickatia [10]

Answer:

Step-by-step explanation:

6 0
2 years ago
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Acompact disc box is 11.5 cm long,7 cm wide and 1.5 cm tall. What is the total surface area of a stack of five such compact disc
REY [17]

Answer:

<em>1,172.5cm²</em>

Step-by-step explanation:

Total surface area of a box = 2(LW + WH + LH)

L is the length = 11.5cm

W is the width = 7cm

H is the height = 1.5cm

Substitute

TSA = 2(11.5(7) + 7(1.5) + (11.5)(1.5))

TSA = 2(80.5+10.5+17.25)

TSA = 2(117.25)

TSA = 234.5cm²

<em>Hence  the total surface area of a stack of five such compact disc boxes will be 5(234.5) = 1,172.5cm²</em>

5 0
3 years ago
What is 44/9 in a mixed number
lesya [120]
44/9 = 4 remainder 8 so as a mixed number it is 4 and 8/9
8 0
3 years ago
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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
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