Answer:
B. It is likely that student opinions in one particular high school do not accurately represent the opinions of all high school students.
and
C. Students that take the time to complete the survey and mail it in probably feel strongly about hot lunches.
Step-by-step explanation:
i got it right
Answer:
8
Step-by-step explanation:
yellow marbles=2b-7
blue marbles=2b
2b+2b-7=23
4b=23+7
4b=30
b=30/4
b=7.5
yellow marbles=2b- 7
2 x 7.5 -7
15 - 7
=8
Answer:
x = -2.47, 0.47
Step-by-step explanation:
Easiest and quickest way to do this is to graph the quadratic and analyze for x-intercepts.
Alternatively, we have to use the Quadratic Formula because we cannot factor the expression.
Answer:
127 3/4
Step-by-step explanation:
you are just dividing the previous term by 2.
4th: 16 / 2 = 8
5th: 8 / 2 = 4
6th: 4 / 2 = 2
7th: 2 / 2 = 1
8th: 1 / 2 = 1/2
9th: 1/2 / 2 = 1/4
Add in groups of three to make it easier.
64 + 32 + 16 = 112
8 + 4 + 2 = 14
1 + 1/2 + 1/4 = 3/2 + 1/4 = 1 3/4
112 + 14 + 7/4 = 127 3/4
<h3><u>Answer:</u></h3>
- First term = 6
- Common difference= 4
<h3><u>Solution</u><u>:</u></h3>
Let's take the first term as <u>a</u> and the common difference be <u>d</u>
The formula to find the nth term of an arithmetic progression is given by :
<u>According to question, we have :</u>
- 16th term of an AP is three times the 5th term.
➝ a16 = 3 ( a5 )
➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )
➝ a + 15d = 3 ( a + 4d )
➝ a + 15d = 3a + 12d
➝ 15d - 12d = 3a - a
➝ 3d = 2a
➝ 2a = 3d
➝ <u>a = 3d/2</u><u></u>ㅤㅤㅤ⸻ ( 1 )
- And, the 12th term is 20 more the 7th term.
➝ a12 - ( a7 ) = 20
➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20
➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20
➝ a + 11d - ( a + 6d ) = 20
➝ a - a + 11d - 6d = 20
➝ 5d = 20
➝ d = 20/ 5
➝<u> d = 4</u>
- <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>
➝ a = 3d / 2
➝ a = ( 3 × 4 ) / 2
➝ a = 12 / 2
➝<u> a = 6</u>
