Answer:
Sample mean for solution 1: 19.27; sample mean for solution 2: 10.32
Step-by-step explanation:
To find the sample mean, find the sum of the data values and divide by the sample size.
For solution 1, the sum is given by:
9.7+10.5+9.4+10.6+9.3+10.7+9.6+10.4+10.2+10.5 = 192.7
The sample size is 10; this gives us
192.7/10 = 19.27
For solution 2, the sum is given by:
10.6+10.3+10.3+10.2+10.0+10.7+10.3+10.4+10.1+10.3 = 103.2
The sample size is 10, this gives us
103.2/10 = 10.32
Answer:
See below.
Step-by-step explanation:
This is focusing on the order of operations.
PEMDAS = Parenthesis, exponents, multiplication, division, addition, subtraction.
40 ÷ [(18 - 9) - (13 - 12)]
40 ÷ [9 - 1]
40 ÷ 8
5
[(13 - 9) · 3] + [(14 - 8) · 2]
[4 · 3] + [6 · 2]
12 + 12
24
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The slide needs to be 4.123 meters
Step-by-step explanation:
Length for the ladder- 1 mtr
Distance of the bottom of the slide from the ladder- 4 mtr
Length of the slide needed
We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)
For right-angled triangle we know from Pythagoras theorem-
Base² + altitude²= hypotenuse
²
Substituting the values of base as 4 mtr and altitude as 1 m
(Hypotenuse)²= 17
∴ Hypotenuse (slide length) =4.123 mtr
∴ Length of the slide needed= 4.123 meters