4. A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she is taking. This table show the responses. Select all the statements that are valid based on the results of
the survey.
Science Class
Physics
Chemistry
Biology
Earth Science
Health Science
Number of
Students
6
10
18
A. About 20% of students at the high school are taking
Chemistry.
B. About twice as many students are taking Health Science
than are taking Physics.
C. For every 150 students we could predict that at least 18
of the students are taking Physics.
D. For every 25 students we could predict that at least 4 of
the students are taking Earth Science.
4
12

A, B, C

Step-by-step explanation:

The total number of students is the sum of the students taken each course. Hence the total number of students is:

Total number = 6 + 10 + 18 + 4 + 12 = 50 students

A) The percentage of students offering chemistry = (number of students offering chemistry / total number of students) * 100%

percentage of students offering chemistry = (10 / 50) * 100% = 20%

Option A is correct

B) number of students taking health science = 12, while number of students taking physics = 6. Hence About twice as many students are taking Health Science  than are taking Physics.

Option B is correct.

C) The percentage of students taking physic = (6 / 50) * 100% = 12%

Therefore for 150 students, the number of students taking Physics = 12% * 150 = 0.12 * 150 = 18

Option C is correct

D) The percentage of students taking earth science = (4 / 50) * 100% = 8%

Therefore for 25 students, the number of students taking earth science = 8% * 25 = 0.08 * 25 = 2

For every 150 students we could predict that 18  of the students are taking Physics.

Option D is correct

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

3000000000000000000000