#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.
Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.
Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9
#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.
Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.
Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95
Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
length = 16 ft
angle = 71°
Opposite side = ?
Process
1.- To answer this question use trigonometric functions.
The trigonometric function that relates the Opposite side and the hypotenuse is sine.
2.- Write the trigonometric function
sin Ф = Opposite side / hypotenuse
3.- Substitution and result
sin (71) = x / 16
Answer:
The bias most likely to be present in the survey results is;
Option A; This is question wording bias because the survey question attempts to influence subjects’ responses.
Step-by-step explanation:
A bias occurs when a group or outcome is intentionally or unintentionally favored over another group or outcome in the a general population.
There are two main types which are;
- Selection bias which includes; Non - response bias, non representative sample and voluntary bias
- Response Bias which includes wording bias, extreme responses, neutral responses e.t.c
Let's look at each of the options;
Option A; This is correct because what occurred is that the concerned student by telling the adults adverse effect of plastics in our environment, he is indirectly influencing the adults to have a bad mindset about the plastics. He is leading them on by the way he phrased the word to ask the question.
Option B; This is not the reason why it is a response bias. The reason it is a response bias is because he led them on with his wording of the question.
Option C; Like said in Option A & B above, the scenario is that of a response bias since they are giving answers.
Option D; Voluntary response bias is a type of non-response bias and so it is not correct here
Let L, W and P denote length, width and perimeter.
L = (2/3)W - 5
The perimeter, P, is 2W + 2L, and this, in turn, is
2W + 2((2/3)W - 5), or 2W + (4/3)W - 10, or
(2 + 4/3)W - 10, or (10/3)W - 10
