Step 1 :
Equation at the end of step 1 :
15
((——•(m6))•(0-2m2))•4
10
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3
((— • m6) • -2m2) • 4
2
Step 3 :
Equation at the end of step 3 :
3m6
(——— • -2m2) • 4
2
Step 4 :
Multiplying exponential expressions :
4.1 m6 multiplied by m2 = m(6 + 2) = m8
Canceling Out :
4.2 Canceling out 2 as it appears on both sides of the fraction line
Equation at the end of step 4 :
-3m8 • 4
Step 5 :
Final result :
-12m8
Answer:
option (c) n = 201
Step-by-step explanation:
Data provided in the question:
Standard deviation, s = 5.5 ounce
Confidence level = 99%
Length of confidence interval = 2 ounces
Therefore,
margin of error, E = (Length of confidence interval ) ÷ 2
= 2 ÷ 2
= 1 ounce
Now,
E = 
here,
z = 2.58 for 99% confidence interval
n = sample size
thus,
1 = 
or
n = (2.58 × 5.5)²
or
n = 201.3561 ≈ 201
Hence,
option (c) n = 201
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
Answer:
452.16 inches²
Step-by-step explanation:
→ Write circle area formula
π × r²
→ Substitute in the numbers
3.14 × 12²
→ Simplify
452.16 inches²
Given :
Length of yarn, l = 225 yards.
Number of bracelets he made, n = 1000 .
To Find :
How long will the yarn be for each bracelet.
Solution :
Let, length of yarn used in each bracelet is x.
So,
Therefore, length of yarn used in each bracelet is 0.225 yard.
