5:7 (pencils to pens)
7/12 chance that a pen from the first box will be selected.
4:4 (colour pencils to crayons)
4/8 = 1/2 chance that a crayon from the second box will be selected.
The probability of picking both:
7/12 * 1/2 = 8/24 = 1/3
Answer:
Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Step-by-step explanation:
Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:
Climb: 1.5 km / h
Descent: 2 x 1.5 km / h = 3 km / h
Climb: 9 km / 1.5 km / h = 6 hours
Descent: 9km / 3 km / h = 3 hours
Total: 9 hours
8 PM = 20:00
20:00 - 09:00 = 11:00
Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Answer:
2 years old
Step-by-step explanation:
4×2=8
8-2=6
Answer:
(C) Perpendicular bisector theorem
Step-by-step explanation:
(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.
(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.
(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.
Answer:
Part a) The straight-time pay is 
Part b) The overtime pay is 
Part c) The total pay is 
Step-by-step explanation:
Part a) What is his straight-time pay?
To find out his straight-time pay multiply the hourly rate of $36 by 37 hours worked
so

Part b) What is his overtime pay?
we know that
The hourly rate for overtime is equal to

so
Multiply the hourly rate for overtime by the number of hours overtime

Part c) What is his total pay?
we know that
The total pay is equal to sum the straight-time pay plus the overtime pay
