Answer:
The area of the triangle is 22.7 units²
Step-by-step explanation:
The formula of the area of a triangle using trigonometry is A = (a)(b) sin(C), where a , b are two sides in the triangle and C is the angle between these two sides
In Δ XYZ
∵ XZ = 11 units
∵ YZ = 8 units
∵ m∠Z = 31°
∵ ∠Z is between the two sides XZ and YZ
∴ We can use the formula above to find the area of Δ XYZ
∵ Area Δ XYZ = (XZ)(YZ) sin(Z)
∴ Area Δ XYZ = (11)(8) sin(31)
∴ Area Δ XYZ = 22.6616753 unit²
- Round it to the nearest tenth
∴ Area Δ XYZ = 22.7 units²
The area of the triangle is 22.7 units²
Answer:
2nd car is running faster than the first car by 2.01 units.
Step-by-step explanation:
Let's assume that
=> speed of first car,
= 32.01 units
and speed of second car,
= 30 units
= 2.01 units
Hence, 2nd car is running faster than the first car by 2.01 units.
Answer:
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.
The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.