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3 years ago

If the lowest value of a data set increases what happens to the standard deviation

Mathematics

1 answer:

lara [203]3 years ago

4 0

Answer:

It becomes lower

Step-by-step explanation:

This is because as the lowest value becomes larger, one of the values becomes closer to the mean, and as more numbers are closer to the mean, the standard deviation becomes lower.

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4(x+3)=2(2x+9)

kramer

Answer:

m a t h w a y

Step-by-step explanation:

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7 0

3 years ago

If n is the least of two consecutive odd integers, which of the following represents the sum of the two integers?

Airida [17]

Let the first odd integer = n
∴ The second consecutive odd integer = n+2

∴ The sum of the two integers = (n) + (n+2)
= 2n + 2

 The correct choice is option (D)
 D) 2n + 2

8 0

3 years ago

(Correct answer only please)

andriy [413]

Answer: Choice A) Add 3.8 to both sides of the equation

Explanation:

If we knew the value of w, then we would replace it and apply PEMDAS.

However, we don't know the value of w, so we undo each step of PEMDAS going backwards.

We start with the "S" of PEMDAS, and undo the subtraction. To undo subtraction, you apply addition. To undo that "minus 3.8" we add 3.8 to both sides.

4 0

3 years ago

Read 2 more answers

A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

8 0

3 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

6 0

3 years ago

Read 2 more answers