Answer:
<u>Option A) 19 to 25</u>
Step-by-step explanation:
In the last election, 72% of the voters were in favor of a new outlet mall and
28% were against it.
Vanessa creates random samples of the voters using the numbers 1 to 25.
So, There are 25 numbers to represent all the voters
The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7
So, <u>7 numbers only</u> could be used to represent the voters who were against the new outlet mall.
Check the options to find which range has only 7 numbers.
A) 19 to 25 ⇒ 7 numbers
B) 7 to 18 ⇒ 12 numbers
C) 15 to 25 ⇒ 11 numbers
D) 1 to 18 ⇒ 18 numbers
The answer is <u>option A) 19 to 25</u>
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
Step-by-step explanation:
let the number be x
and according to question,
six + 2 times a number = 2x + 6
26 + 6 times a number = 6x + 26
→ 2x + 6 = 6x + 26
→ -6x + 2x = 26 - 6
→ -4x = 20
→ x = 20/4 = 5
→ x = 5
therefore, the number is 5.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
Answer:
3.025 = 3.03
Step-by-step explanation:
A = (3.14)(r)(r)
28.74/3.14 = 9.152866
3.025 = r
