Answer: First half was 24 minutes
Step-by-step explanation:
Let the time taken to finish the second half be y.
Since the student used 2/3 of the second half time to finish the first half, first half = 2/3 × y = 2y/3
The entire exam is an hour which equals 60 minutes
First half + Second half = 60minutes
Note that first half is denoted as 2y/3 and second half is denoted by y.
2y/3 + y = 60
5y/3 = 60
Cross multiply
5y = 60 × 3
5y = 180
y = 180/5
y = 36
Second half took 36 minutes
Since first half is 2y/3, it will be:
(2×36) / 3
= 72/3
= 24minutes
First half took 24 minutes.
Answer:
a
Step-by-step explanation:
on x line it = 3 and there is no slope/no steep hill yk
Answer:
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
Step-by-step explanation:
Simple random sampling:
- It is a type of probabilistic sampling.
- It is an unbiased representation of population.
- The probability of selection is equal for every observation.
- A sample is taken in such a way that each member has an equal probability of being selected.
- A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
- Thus,the correct interpretation is given by,
a) sample of size n from the population has an equal chance of being selected.
b) Every member of the population has an equal chance of being included in the sample.
- c) The simplest method of selection is used to create a representative sample.
The statement is false.
There is no pattern or technique used for selection. The selection is purely random.
- d) Each subset of the population has an equal chance of being included in the sample.
The statement is false.
Each object of the population has an equal chance of being included in the sample. and not each subset.
- e) Every sample of size n from the population has a proportionally weighted chance of being selected.
The given statement is false.
Answer:
x = 12/11, -32/11
Step-by-step explanation:
Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let 
, 
and 
, then we have the following formula by vectorial definition of a line segment:
![B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)]](https://tex.z-dn.net/?f=B%28x%2Cy%29%20-A%28x%2Cy%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5BC%28x%2Cy%29-A%28x%2Cy%29%5D)
