Answer:
The height below which 20% of the persons lie equals 169.95 cm
Step-by-step explanation:
Given that
Mean height = 175 cm
Standard deviation = 6 cm
Hence for the given question we need to find the standard variate factor ( Z factor) corresponding to the 20% of the area under the standard normal distribution curve
Using the standard normal distribution tables we have Z factor corresponding to an area of 20% equals ( Z = -0.84166)
Thus we have
Solve the following system:
{3 x - 5 y = 7 | (equation 1)
{10 y - 4 x = 16 | (equation 2)
Swap equation 1 with equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{3 x - 5 y = 7 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Divide equation 1 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Multiply equation 2 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+5 y = 38 | (equation 2)
Divide equation 2 by 5:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(2 x)+0 y = -30 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Divide equation 1 by -2:
{x+0 y = 15 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Collect results:
Answer: {x = 15
{y = 38/5 or 7.6 decimal
For the answer to the question above, I think that only the <u><em>regular polygons that tessellate are equilateral triangles, squares, and regular hexagons.
</em></u>I hope my answer helped you. Have a nice day!
I Think its m=-2
Tell me if im correct
Answer:
$6168.39
Explanation:
For a principal, P compounded continuously at a rate of r%, the amount in the account after t years is determined using the formula:
Given:
• The starting amount, P = $5,000
,
• Interest Rate, r = 3% = 0.03
,
• Time(t) = 7 years
Substitute these values into the formula:
Jack will have $6168.39 in his account after 7 years.
