Answer:
3/4
Step-by-step explanation:
Δy = y1 - y2 = 1 - (-2) = 3
Δx = x1 - x2 = -3 - (-7) = 4
Slope = Δy/Δx = 3/4
The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![{Area}=\frac{1}{2} b c \sin A](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%20b%20c%20%5Csin%20A)
where
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
Substituting these values in the above formula, we get,
![{Area}=\frac{1}{2}(19)(24) \sin 65^{\circ}](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%2819%29%2824%29%20%20%5Csin%2065%5E%7B%5Ccirc%7D)
Simplifying the values, we get,
![{Area}=\frac{1}{2}(456) (0.91)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28456%29%20%280.91%29)
![{Area}=\frac{1}{2}(414.96)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28414.96%29)
![{Area}=207.48](https://tex.z-dn.net/?f=%7BArea%7D%3D207.48)
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
Answer:
d. 0.0948 ± 4.032(0.0279)
Step-by-step explanation:
A 99% confidence interval for the coefficient of promotional expenditures is, First, compute the t critical value then find confidence interval.
The t critical value for the 99% confidence interval is,
The sample size is small and two-tailed test. Look in the column headed es = 0.01 and the row headed in the t distribution table by using degree of freedom is here
for (n-2=5) degree of freedom and 99% confidence ; critical t =4.032
therefore 99% confidence interval for the slope =estimated slope -/+ t*Std error
= 0.094781123 -/+ 4.032* 0.027926367 = -0.017822 to 0.207384
Answer:
The answer is definitely Option A
the answer is 75 minutes/1h 15m
15 pages × 350 words = 5250 words
5250 ÷ 70 = 75 minutes (1h 15m)
hope this helps!!