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3 years ago

6

Using the interquartile range (IQR), determine if the data set contains any outliers. name the outlier or choose no outliers. {6

3, 88, 89, 89, 95, 98, 99, 99, 100, 100}
A. 63
B. 74
C. no outliers
D. 100

2 answers:

Ugo [173]3 years ago

7 0

A 63 i had this on a test and this was the right answer

Lera25 [3.4K]3 years ago

3 0

The answer is A. Hope this helps!

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Find the value of k by<br>quardractic equation two real and equal roots<br>5x - 2kx +20=0

kotegsom [21]

Answer:

k = +10 or -10

Step-by-step explanation:

It's given in the question that the roots of the eqn. are real and equal. So , the discriminant of the eqn. should be equal to 0.

$= > {b}^{2} - 4ac = 0$

$= > {( - 2k)}^{2} - 4 \times 5 \times 20 = 0$

$= > 4 {k}^{2} - 400 = 0$

$= > 4( {k}^{2} - 100) = 0$

$= > {k}^{2} - 100 = 0$

$= > k = \sqrt{100} = + 10 \: or \: - 10$

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2 years ago

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A sphere has center (0,0,0) and a radius of 5. Which of the following points lie on the sphere?

Colt1911 [192]

Since the sphere is located at the center and has radius 5.
Out of the following given points,
(5,5,-5) will lie on the sphere, where x and y coordinates will be positive and z coordinate will be negative.
This is because the radius of the circle is 5 units.

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3 years ago

if one angle of a triangle is 90 degrees then the other two add to 90 degrees write the to prove statement

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➷ There is a rule : angles in a triangle will always total to 180 degrees.

180 - 90 = 90

As you can see via the calculation above, the other two angles would have to total to 90 degrees to fit this rule.

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3 years ago

One leg of a right triangle has a length of 3. The other sides have lengths that are consecutive integers. Find these lengths.

Genrish500 [490]

Answer:

Therefore other two sides of the triangle are 4 and 5.

Step-by-step explanation:

Given one leg of a right triangle has a length of 3

Let other sides of the triangle be x and x+1 [ since they are consecutive]

According to the problem,

3²+x²=(x+1)²

⇔9 + x²=x²+2x+1

⇔2x+1=9

⇔2x=9-1

⇔2x=8

⇔x=4

Therefore other two sides of the triangle are 4 and 5.

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2 years ago

Find the gcf of the following<br><br> 4x^4y^3 and 24x^3y^2

Effectus [21]

Answer:

The greatest common factor (gcf) of $4x^{4}y^{3}$ and $24x^{3}y^{2}$ is 4 x³ y²

Step-by-step explanation:

The greatest common factor of algebraic terms is:

The greatest common factor of the numbers
Least exponent of the same variables

Ex: The greatest common factor of 8 x² and 12 x³ is 4 x² because:

The factors of 8 are 1, 2, 4, 8 and the factors of 12 are 1, 2, 3, 4, 6, 12

The common factor of them are 1, 2, 4 and the greatest on is 4

The greatest common factor of x² and x³ is x²

So the gcf of 8 x² and 12 x³ is 4 x²

∵ The terms are $4x^{4}y^{3}$ and $24x^{3}y^{2}$

∵ The factors of 4 are 1, 2, 4

∵ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

∴ The common factors of them are 1, 2, 4

∵ The greatest one is 4

∴ The greatest common factor of 4 and 24 is 4

∵ The greatest factor of $x^{4}$ and x³ is x³

∵ The greatest factor of y³ and y² is y²

∴ The greatest common factor of $4x^{4}y^{3}$ and $24x^{3}y^{2}$ is 4 x³ y²

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3 years ago