Answer:
Step-by-step explanation:
What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.
Here's why and it is the one bit of physics you have to know.
The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.
So ...
b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour
b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] = 26/60 = 0.4333 hour
h = 40 km/hour
Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2
Area = 0.75 hour * 40 km/hr //2
Area = 15 km
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
Thus, the function is one to one.
For y=x or
Hence this function has an inverse.
For the function y=x² or f(x)=x².
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
This function has no inverse over the entire real numbers.
Answer:
- C.) obtuse triangle
- 39°
- 167°
- D.) 111°
Step-by-step explanation:
1. The sum of angles in a triangle is 180°. The sum of the given angles is less than 90°, so the remaining angle must be more than 90°. When the largest angle is more than 90°, it is an obtuse angle. A triangle with an obtuse angle is classified as obtuse.
__
2. The sum of the interior angles is 180°, so we have ...
x° +39° +102° = 180°
x° = 39° . . . . . . . . . . . subtract 141°
__
3. The third interior angle is the supplement to the sum of the given interior angles. Likewise, x° is the supplement to the third interior angle, so its value is the same as the sum of the two given interior angles. (The rule is often stated as "an exterior angle is equal to the sum of the remote interior angles.")
x° = 130° +37°
x° = 167°
__
4. Same deal as problem 3:
x° = 75° +36°
x° = 111°
Answer:
p value = 0.302
Step-by-step explanation:
Given that all cars can be classified into one of four groups: the subcompact, the compact, the midsize, and the full-size. There are five cars in each group. Head injury data (in hic) for the dummies in the driver's seat are listed below.
H_0: All cars have same mean values
H_a: atleast two cars have different mean values
(Two tailed anova test)
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Subcompact 5 3444 688.8 48502.7
compact 5 2879 575.8 4582.7
Midsize 5 2534 506.8 18720.2
Full size 5 2689 537.8 23905.2
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 94825 3 31608.33 1.321 0.302 3.24
Within Groups 382843.2 16 23927.7
Total 477668.2 19
Since p value of 0.302 is greater than 0.05 significance level we accept null hypothesis.
p value = 0.302
