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galina1969 [7]
3 years ago
8

A group of 10 students received the following marks for a test: 58, 89,65, 78, 55,26,93,46,43,59. The standard deviation of thei

r marks is (to two decimal places)
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Answer:19.84

Step-by-step explanation:

S. D = √(Variance)

To find the standard deviation, we need to first find the variance

variance = ∑(x-x⁻)² / n

where x⁻ = mean

n=no. of data = 10

∑ means summation

again, we to find the mean

mean(x⁻) = 58+89+65+78+55+26+93+46+43+

59 /10

=612/10

=61.2

mean(x⁻) =61.2

x x⁻ (x-x⁻)²

58 61.2 10.24

89 61.2 772.84

65 61.2 14.44

78 61.2 282.24

55 61.2 38.44

26 61.2 1239.04

93 61.2 1011.24

46 61.2 231.04

43 61.2 331.24

59 61.2 4.84

∑(x-x⁻)² = 10.24+772.84+14.44+282.24+38.44+1239.04+1011.24+231.04+331.25+ 4.84 = 3935.6

variance = ∑(x-x⁻)² / n

=3935.6 / 10

=393.56

variance = 393.56

S. D = √(Variance)

=√(393.56)

=19.8383

S.D = 19.84 to two decimal place

Therefore the standard deviation is 19. 84

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3 years ago
Answer to:<br> (a - 3b)(2a - 5b)<br><br> distributive form
Alina [70]
When I look at a problem like this, I think of the FOIL method. This method states "You multiply integers in the order of First, Outside, Inside, Last, and then add them  together"

(a -3b)(2a - 5b)

First --- 2a * a
Out  --- (-5b) * a
In     --- (-3b) * 2a
Last --- (-3b) * (-5b)

2a² - 5ab -6ab + 15b²

2a² - ab + 15b²

This would be your answer in simplest form!
5 0
2 years ago
What is the domain of the function represented by the following graph?
Svetllana [295]

Hello!

The domain of the function are the x-values that make the function true.

Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).

From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.

Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.

6 0
2 years ago
A Mexican restaurant sells quesadillas in two sizes: a "large" 10 inch-round quesadilla and a "small" 5 inch-
elena-14-01-66 [18.8K]

Answer:

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^2

where

r is the radius

step 1

Find the area of the 10 inch-round quesadilla

we have

D=10\ in

r=10/2=5\ in

substitute

A=\pi (5)^2

A=25\pi\ in^2

step 2

Find the area of the 5 inch-round quesadilla

we have

D=5\ in

r=5/2=2.5\ in

substitute

A=\pi (2.5)^2

A=6.25\pi\ in^2

step 3

Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Compare

half of the 10-inch quesadilla is equal to ----> \frac{1}{2}(25\pi)=12.5\pi\ in^2

the entire 5-inch quesadilla ---->6.25\pi\ in^2

therefore

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

3 0
2 years ago
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