Answer:
P(even no.) = 0.5
Step-by-step explanation:
Using the Formula of Probability = 
Total no. of outcomes when a six sided die is rolled are: 6 (as shown below)
1, 2, 3, 4, 5, 6
Required outcomes are only even number: 3 (as shown below)
2, 4, 6
Thus P(even no.) = 
= 
= 0.5
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
I added a screenshot of the original question.
Now, first we will need to calculate the speed of each truck and then get the time that each of them will take to travel the 225 miles.
The basic rule that we will use for this question is:
velocity = distance / time
Part (a): getting the velocity of each truck:For the large truck:We are given that the truck took 4 hours to travel 180 miles. Therefore:
velocity of large truck = 180 / 4 = 45 miles/hourFor the small truck:We are given that the truck took 3 hours to travel the same 180 miles. Therefore:
velocity of small truck = 180 / 3 = 60 miles/hourPart (b): getting the time required for each truck to travel 225 miles:For the large truck:We have the distance = 225 miles and the velocity = 45 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 45 = 5 hoursFor the small truck:We have the distance = 225 miles and the velocity = 60 miles/hour. Therefore:
velocity = distance / time
time = distance / velocity = 225 / 60 = 3.75 hours
Answer:
a. 72°
Step-by-step explanation:
The sum of angles in a triangle is 180°. The two base angles of an isosceles triangle (one with two congruent sides) are congruent, so we have ...
54° + 54° + x° = 180°
x° = 180° - 108°
x° = 72°
I graphed the given points and used Pythagorean theorem to get the value of each side of the rhombus.
Each side of the rhombus served as the hypotenuse of the imaginary right triangle formed in the graph. The diagonals formed are mutually bisecting and have cut each diagonal in equal parts.
Pls. see attached graph.
