Answer:
Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.
Step-by-step explanation:
Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
Answer: length = 13
Width = 22
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length × width)
The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that
2[(3x - 8) + (x + 3)] = 70
Dividing both sides of the equation by 2, it becomes
3x - 8 + x + 3 = 35
3x + x - 8 + 3 = 35
4x - 5 = 35
4x = 35 + 5 = 40
x = 40/4
x = 10
Length = x + 3 = 10 + 3
Length = 13
Width = 3x - 8 = 3 × 10 - 8
Width = 22
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
Just use the formula 1/2bh
