Answer: 43.3 square inches
Step-by-step explanation:
Formula for Triangle: A = bh/2
Key:
* = multiple
/ = divide
Fill in the formula with what you know:
A = bh/2
A = 5 * 4.33 / 2
A= 21.65 / 2 = 10.825 square inches
However, 10.825 is not our answer. 10.825 is the area of only one triangle. Since all four of the triangles are congruent (or the same) we can:
Add: 10.825 + 10.825 + 10.825 + 10.825 = 43.3 square inches
OR
Multiple: 10.825 * 4 = 43.3 square inches
Thus, the surface area of the pyramid is 43.3 square inches.
Answer:
Step-by-step explanation:
From the information given,
Number of personnel sampled, n = 85
Mean or average = 6.5
Standard deviation of the sample = 1.7
We want to determine the confidence interval for the mean number of years that personnel spent in a particular job before being promoted.
For a 95% confidence interval, the confidence level is 1.96. This is the z value and it is determined from the normal distribution table. We will apply the following formula to determine the confidence interval.
z×standard deviation/√n
= 1.96 × 6.5/√85
= 1.38
The confidence interval for the mean number of years spent before promotion is
The lower end of the interval is 6.5 - 1.38 = 5.12 years
The upper end is 6.5 + 1.38 = 7.88 years
Therefore, with 95% confidence interval, the mean number of years spent before being promoted is between 5.12 years and 7.88 years
Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.
2(4x-3) = -3(3x)+5x
8x-6 = -9x+5x
-6 = -9x+5x-8x
-6 = -12x
-6/-12 = x
1/2 = x
Then swap the '=' back for the other sign. This works for all of the '<' type signs
Answer:
89
Step-by-step explanation:
= √ 64 +9²
=8 +81
=89
Answer:
hold up
Step-by-step explanation:
