Answer:
1.B 2.H 3. A
Step-by-step explanation:
1. First, find out the percentage of people who voted for Mathematika in survey one.
The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.
To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.
2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.
3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.
7+9+11+13+15 = 55
5 numbers were added together so you divide 55 by 5
55/5 = 11. The mean is 11
9+10+11+12+13 = 55
There were 5 numbers added together
55/5 = 11. Both the means were the same
<span>When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.</span>
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
Answer:
a=-1
Step-by-step explanation:
2a-3=-5
2a=-5+3
2a=-2
a=-2/2
a=-1
Answer:
- Find the coefficients using ax^2 + bx + c = 0
a = 4
b = 7
c = 0
- Make the coefficient equal 1. But how do we do that? Division.
4n² + 7n = 0
4/4n² + 7n/4 = 0/4
= n² + 7/4n = 0
a = 1
b = 7/4
c = 0
- Complete the square using b/2².
b = 7/4
(b/2)² = (7/4 ÷ 2)²
Use fraction rule.
7/4 ÷ 2² = 7/4² / 2²
<em>square the numbers</em>
7/4² / 2² = 49/16 ÷ 4
49/16 ÷ 4 = 49/16 × 1/4
49/16 × 1/4 = 49/64
Add to both sides of the equation using 49/64
b = 7/4
b/2 = 7/4 ÷ 2
<em>simplify</em>
b/2 = 7 ÷ (4 × 2)
<em>simplify(arithmetic)</em>
b/2 = 7/8
n² + 7/4n + 49/64 = 49/64
(n + 7/8)² = 49/64

Next, cancel out the square on the left side.

Subtract 7/8 from both of the sides.

Simplify the left side.

<em>That wraps it up for this equation. Hope it helped!</em>