Answer:
(1,1)
Step-by-step explanation:
The choices are not visible, however are unnecessary to solve this problem.
Given y = 3x - 2 and y = -2x + 3
[Set them equal to each other]
3x - 2 = -2x + 3
[Find x]
3x + 2x - 2 = 3
3x + 2x = 5
5x = 5
x = 1
[Plug x = 1 to both equations to check and find y]
y = 3x - 2
y = 3(1) - 2 = 3 - 2 = 1
y = -2x + 3
y = -2(1) + 3 = -2 + 3 = 1
Both are equal to y = 1 when x = 1
The point is then: (1,1)
Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ = 
= 
, thus
Θ = 
() ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ = 
= 
, thus
Θ = 
() ≈ 38.7°
Answer:
Step-by-step explanation:
In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.
Hence,
Answer:
(a) A cross sectional study (b) The parameter can be computed as follows: Non-drinkers who agree exposed to obesity, Drinkers who are exposed or vulnerable to obesity (c) A postie relationship is established from the experiment between drinkers who are exposed to obesity and non drinkers who are exposed to obesity
Step-by-step explanation:
(a) The type of design is refereed to as a cross sectional study
(b) Now, because 50 men are beer drinkers out of 891 men.
Hence we can deduce form this that 500/891 gives us 0.56%.
This suggest that 0.56% men are beer drinkers out of which 325 have obesity, lets take for example 235/500 = 0.65% are exposed to obesity in which 80/ (89-500) = 80/491 = 0.16%
The non drinkers are 0.16% and are not exposed to obesity
Thus,
The parameters to be calculated is stated below:
- Non-drinkers who agree exposed to obesity
- Drinkers who are exposed or vulnerable to obesity
(c) The next step is to determine and explain the results.
In this case we can say there is a positive relationship between drinkers and non drinkers, since from the experiment 0.65% are exposed to obesity and 0.16$ non drinkers are exposed to obesity.
First let us determine the total number of combinations that
can be made from these pair. The number of combinations can simply be
calculated by multiplication, so:
Combination = 4 * 4 = 16
Since we know that for each shirt color, there is a
corresponding sock with the same color. So there are 4 matching pairs.
Therefore the unmatching pairs are 12. Calculating the probability to get
unmatching pair would be:
Probability of unmatching pair = 12/16 = 0.75
Interpretation: There is a 75% probability that his socks
and shirt wont match.
