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skad [1K]
2 years ago
12

Which statement is a counterexample to the statement "If x is a prime number, then x is an odd number?"

Mathematics
1 answer:
valentinak56 [21]2 years ago
5 0

Answer:

2

Step-by-step explanation:

2 is a prime number (it can pnly be divided by itself and by one), but it is an even number.

So it's a counterexample of the statement "If x is a prime number, then x is an odd number?"

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What multiplies to 25 and adds to -10
-5 and -5

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(x-5)²
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3 years ago
How does the circulatory system work at the tissue level?
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The circulatory system is a network consisting of blood, blood vessels and the heart
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Rectangle A has a width of 3 inches and a length of 5 inches. Part A Rectangle A has the same perimeter as Rectangle B. If its w
Nutka1998 [239]

Answer:

Part A

Rectangle B has a B has a width of 4 inches and a length of 4 inches

Part B

The answers that apply are:

A. Rectangle A has an area of 15 square inches

C. Rectangle B has an area of 16 square inches

D. Rectangle B has a greater area than Rectangle A

Step-by-step explanation:

Let me know if you need any explanation

6 0
3 years ago
A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randoml
Andrews [41]

Answer: \dfrac{21}{410}.

Step-by-step explanation:

Formula : Probability = \dfrac{\text{favorable outcomes}}{\text{Total outcomes}}

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = \dfrac{12}{41}

Probability that the the second student obtained is a senior. =\dfrac{7}{41-1}=\dfrac{7}{40}

Then, the probability that the first student obtained is a junior and the second a senior would be \dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}

Hence, the required probability is \dfrac{21}{410}.

8 0
3 years ago
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.
Degger [83]

Answer:

  1 solution

Step-by-step explanation:

Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...

  -3x -3 +3x = -3x +3 +3

We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.

__

In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

__

<em>Additional comment</em>

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

8 0
3 years ago
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