Answer:
Roughly speaking, in a normal distribution, a score that is 1 s.d. above the mean is equivalent to the 84th percentile. ... In other words, roughly 95 percent of students are within two standard deviations – positive or negative – of the average
Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
Answer:
The correct answer is option D. 4
Step-by-step explanation:
Points to remember
Opposite sides of the parallelogram are equal.
From the figure we can see that,AB and CD are opposite sides.
Therefore AB = CD
<u>To find the length of AB</u>
From the figure we get, AB = 4 units
Therefore CD = 4 units
<u>To find the x coordinate of point C</u>
y coordinate is -1
x coordinate is 4 units from point D
x coordinate of D is 0, therefore x coordinate of C = 0 + 4 = 4
The correct answer is option D. 4
9514 1404 393
Answer:
1
Step-by-step explanation:
Any non-zero number to the zero power is 1.
3.4^0 = 1
Answer:

Step-by-step explanation:
The length of the trail is obtained by the definition of sine, where height is the opposite leg and length is the hypotenuse:

The length of the trail is:
