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ozzi
3 years ago
12

What do you think about data set if standard deviation to be zero?

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Step-by-step explanation:

all elements of the data set have the same value. therefore there is no difference of the individual values to the mean value.

and the sum of these differences is therefore also 0.

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A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
lesya [120]
Area of the figure:
Af = a² + 2 a²/4 π = 2.57 a²
Area of the shaded region:
As = 2 a²/4 π = 1.57 a²
x = (1.57 · 100) / 2.57 = 61 % ≈ 60 %
Answer: B) about 60 %
6 0
3 years ago
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Billy invests £800 for 5 years in a savings account.
coldgirl [10]

Answer:

896

Step-by-step explanation:

well he got $800 dollers for five hours...

and he after that he got $96 for five hours...

so you  have to add $800 to $96 wich is $896

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3 years ago
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Henry Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest
masha68 [24]
Henry paid a total of $360 for the dishwasher:  $20 + (10 x $34) = $20 + $340= $360

Therefore he paid $40 extra which we place over the original amount of the dishwasher:\frac{40}{320} =  \frac{4}{32} =  \frac{1}{8}

Dividing 1 by 8 we get  .125 which, when changed to a percentage becomes 12.5%
Henry paid a yearly interest rate of 12.5%
3 0
3 years ago
What does it mean to perform dilation transformation
dangina [55]

Answer:

A dilation transformation is by shrinking or expanding the image by a scale factor x. To perform a dilation multiply the coordinates by the scale factor number given.

Step-by-step explanation:


5 0
3 years ago
The base of a triangle is 9cm less than the three times the height. The area is 15 cm2.
ziro4ka [17]

Answer:

The height is <u>6 cm</u> and the base is <u>5 cm</u>.

Step-by-step explanation:

Given:

The base of a triangle is 9 cm less than the three times the height. The area is 15 cm².

Now, to find the height and the base of the triangle.

Let the height of the triangle be x.

And then base of the triangle = 3x-9.

The area of the triangle = 15\ cm^2.

Now, we put formula to get the base and height of the triangle:

Area=\frac{1}{2} \times base\ \times height\\\\15=\frac{1}{2} \times (3x-9)\times x\\\\15=\frac{3x^2-9x}{2}

<em>Multiplying both sides by 2 we get:</em>

<em />30=3x^2-9x<em />

<em />30=3(x^2-3x)<em />

<em>Dividing both sides by 3 we get:</em>

<em />10=x^2-3x<em />

<em>Subtracting both sides by 10 we get:</em>

0=x^2-3x-10\\\\x^2-3x-10=0

Now, solving the quadratic equation:

x^2-5x+2x-10=0\\\\x(x-5)+2(x-5)=0\\\\(x-5)(x+2)=0\\\\\\x-5=0\ \ \ \ \ x+2=0\\\\x=5\ \ \ \ \ \ \ \ \ \  x=-2

Hence, the negative result is not to be taken so, we take the positive result.

<u><em>Thus, the height  is 5 cm.</em></u>

Now, substituting the value of x to get the base:

3x-9\\\\=3\times 5-9\\\\=15-9\\\\=6\ cm.

<u><em>Hence, the base is 6cm.</em></u>

Therefore, the height is 6 cm and the base is 5 cm.

6 0
3 years ago
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