Answer: Marianne would have to get a 79 on her final test.
Step-by-step explanation: In order to get the average, you have to add all of your numbers up and multiply by how many numbers you have (in your case, 3) and you will find your answer.
79+81+77=237 237 divided by 3 is 79. ( Sorry I used a calculator :( )
<u>Answer-</u>
In the conditional relative frequency table by column, the value of x is 0.85
<u>Solution-</u>
From the paint color preference table,
Liked new paint color + Disliked new paint color = 1
Therefore, we have x=0.85 or 85% of adults who like the new color of the paint.
One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the least powers of the common prime factors will be the LCM of those numbers.
LCM-LOWEST COMMON MULTIPLE
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²
What we need to find:
Area
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h
Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h
Now we can find area,
Area= l x w
= √18 x√2
=√36=6
Area=6
Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
Answer:
D. The solution is (8, 2).
Step-by-step explanation:
x - 2y = 4
5x -3y = 34 Multiply the first equation by 5:
5x - 10y = 20 Subtract:
0 + 7y = 14
y = 2.
Substitute for y in the first equation:
x - 2*2 = 4
x = 4+4 = 8.
