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Troyanec [42]
2 years ago
13

Here are three number cards.

Mathematics
1 answer:
Arturiano [62]2 years ago
6 0

Answer:

7, 7, 11 are the three numbers.

Step-by-step explanation:

<u>Given:</u>

Mode of the three numbers = 7

Range of numbers i.e. difference between the smallest and the largest number is = 4

Value of highest number card \neq 7

As per the definition of Mode:

Mode is the number that occurs the most number of times in the given set of numbers. In other words, mode is the number whose frequency is the highest in the given set of numbers.

Here, we have three numbers and <em>mode is 7 </em>that means 7 occurs <em>at least  two times </em>in the three numbers.

Also, we are given that <em>7 is not highest number</em>, plus <em>4 is the range </em>that means <em>7 occurs exactly two times </em>out of three numbers.

So, <em>two numbers are 7 and 7</em>.

<em>7 is not highest and 4 is the range, so third number = 7+4 = 11</em>

<em></em>

So, <em>the numbers on the cards are 7, 7 and 11.</em>

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Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected stu
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The correct option that shows the population of the research carried out by Matthew is;

<u><em>Option D; all the students attending the college</em></u>

<u><em></em></u>

  • We are told that Matthew wants to estimate the mean height of students attending his college.

  • Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.

        In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

Read more at; brainly.com/question/6028584

6 0
2 years ago
Can someone check if this is right and correct me if it’s not????
mylen [45]

Answer:

No. it is not tangent to the circle ⇒ A

Step-by-step explanation:

In any circle a tangent and a diameter are perpendicular at one end of the diameter

In the attached figure

∵ The line segment drawn from point A is passing through

   the center of the circle

∴ This line segment is a diameter of the circle

∵ If AB is a tangent to the circle at point A

- That means the diameter and the tangent meet each other

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∴ AB and the diameter are perpendicular at point A

∴ m∠A = 90°

Now let us check if the lengths of the triangle formed a right angle triangle or not by using the inverse of Pythagoras Theorem

<em>In a triangle if the square of the longest side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>

∵ 17 is the longest side in the triangle

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∵ (17)² = 289

∵ (10.2)² + (6.8)² = 150.28

∴ (17)² ≠ (10.2)² + (6.8)²

∴ The triangle can not be a right triangle because the square

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    other two sides

∵ ∠A is opposite to the longest side

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80 cm

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The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

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2 years ago
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