Answer:
21% of his students wear glasses
Step-by-step explanation:
The answer is 21% because 21/100 =21
Hope it helps.
Answer:
11/4
Step-by-step explanation:
Draw one whole fraction bar. Next, draw 6 equal bars under it, since you are dividing by sixths. Then draw a twelfths fraction bar with 2 twelfths for each sixth bar. Above the twelfths bar, circle groups of 4 sixths. There is one group of 4/6 with 1/6 remaining. Since 1/6 is 1/4 of 4/6, the quotient is 1 1/4.
Answer: In degrees , The measure of 
In radians , the measure of 
.
Step-by-step explanation:
We know that the formula for length of arc is given by :-
, where 
= Central angle subtended by arc.
r= radius of the circle.
As per given , we have
Radius of circle : r=7 m
Length of arc : l= 8 m
Substitute these values in the above formula , we get
Hence, the measure of .
To convert it into degrees we multiply it with 
The measure of 
Hence, the measure of
(8r+3s)(8r-3s) dont have working but noticed that it is the difference of two squares
Answer:
- Using conditional probabilities it can be shown that the results are influenced by the gender.
Explanation:
To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.
If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.
The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.
The probability of preferring hot dogs by the whole sample is:
- Number of males that prefer hot dogs: 184 (stated by the problem)
- Number of females that prefer hot dogs:
100% - 34.2% = 65.8%
65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418
- Samples size: 542 males + 635 females = 1177
- Probability of preferring hot dogs =
number of students that preffer hot dogs / number of students =
(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%
Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.
