Answer:
a. 9 ft
b. 90 ° right angled
c. Right angle
d. 90°
e, Right angle
f. Angles on a straight line
g. 18 spots
Step-by-step explanation:
Here we have maximization question;
a. The separation distance of the dividing lines in a parking lot need to be far apart enough as to accommodate a vehicle with room to open the doors, therefore, it should be between 8.5 to 10 ft wide which gives a mean parking space width of approximately 9 ft
b. The angle of lines of the parking lot to the curb that will accommodate the most cars is 90°, because it reduces the width occupied by a car
c. The angle is right angled
d. Since the adjacent angle + calculated angle = angles on a straight line = 180 °
Therefore, adjacent angle = 90°
e. The angle is right angled
f. Angles on a straight line
g. The number of spots will be 162/9 = 18 spots.
I guess that u can use Pythagorean theorem!:(
Answer: 9 essay questions
Step-by-step explanation:
The test has 26 questions
The test is worth 123 points
The test has two types of questions:
Multiple choice worth 3 points each
Essays worth 8 points each
Let the number of multiple choice questions be, m, and the number of essay questions be , e.
This forms a simultaneous equation below:
m + e = 26 ... (i)
3m + 8e = 123 ... (ii)
Multiplying (i) by 3 and (ii) by 1 we get:
3m + 3e = 78 ... (i)
3m + 8e = 123 ... (ii)
Subtracting (ii) - (i) we get;
0m + 5e = 45
5e = 45
e = 45 ÷ 5 = 9
So there are 9 essay questions.
and;
m + 9 = 26
m = 26 - 9 = 17
There are also 17 multiple choice questions.
Answer:
The null and alternative hypotheses are:
Under the null hypothesis, the test statistic is:
Therefore, the test-statistic is 
Now the F critical value at 0.02 significance level for df1 = 10- 1 =9 and df2 = 16 - 1 =15 is:
Since F statistic is greater than the F critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that there is a difference in the variation in the listening times for men and women.
