You would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.
36 is the answer.
Answer:
Step-by-step explanation:
1. 9/5 2. 5/9 3. 596/8 4. 1/55 5. 6/7 6. 1/3 7. 4/7 8. 10/9 9. 11/7 10. 4/8 11. 5/7 12. 2/5
Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V = 
πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V = π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V= π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
The confidence interval is given by the formula:
m +/- z·(σ/√n)
First, compute the mean:
m = (<span>15.8 + 15.6 + 15.1 + 15.2 + 15.1 + 15.5 + 15.9 + 15.5) / 8
= 15.463
Then, compute the standard deviation:
</span>σ = √[∑(v - m)²/n]
= 0.287
The z-score for a 95% confidence interval is z = 1.96.
Now you can calculate:
m + z·(σ/√n) = 15.463 + 1.96·(0.287/√8)
= 15.463 + 0.199
= 15.662
m - z·(σ/√n) = 15.463 - 1.96·(0.287/√8)
= 15.463 - 0.199
= 15.264
Therefore the confidence interval is (15.264, <span>15.662) and the correct answer is E) none of the above.</span>
Answer:
15 inches
Step-by-step explanation:
1. Use the Pythagorean Theorem: a^2+b^2=c^2
You are already given c (the longest side) and one of the legs which could be a or b.
2. Plug the numbers into the formula and square them.
a^2 + 36^2 = 39^2
Squaring the numbers gives you: a^2 + 1,296 = 1,521
3. Subtract 1,296 from both sides and take the square root of the result.
a^2 = 225
= 15
