Answer:
Part a) The distance on a map between Joseph's house and the airport is 2.53 inches
Part b) The distance on a map between the airport and the restaurant is 1.68 inches and the total distance on a map between Joseph's house and the restaurant is 4.21 inches
Step-by-step explanation:
Part a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?
we know that
The scale of a map is 1 inch : 9.5 miles
so
using proportion
Find the distance on a map if the actual distance between Joseph's house and the airport is 24 miles
Let
x-----> the distance on a map
1/9.5=x/24
x=24/9.5=2.53 inches
Part b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?
we know that
The scale of a map is 1 inch : 9.5 miles
so
using proportion
Find the distance on a map if the actual distance between airport to the restaurant is 16 miles
Let
x-----> the distance on a map
1/9.5=x/16
x=16/9.5=1.68 inches
The total distance on a map between Joseph's house and the restaurant is equal to
2.53 inches+1.68 inches=4.21 inches
Answer:
The probability that A selects the first red ball is 0.5833.
Step-by-step explanation:
Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
To find : What is the probability that A selects the first red ball?
Solution :
A wins if the first red ball is drawn 1st,3rd,5th or 7th.
A red ball drawn first, there are
places in which the other 2 red balls can be placed.
A red ball drawn third, there are
places in which the other 2 red balls can be placed.
A red ball drawn fifth, there are
places in which the other 2 red balls can be placed.
A red ball drawn seventh, there are
places in which the other 2 red balls can be placed.
The total number of total event is
The probability that A selects the first red ball is




Answer:
The total surface area is: 468 in^2 which agrees with answer a)
Step-by-step explanation:
The three lateral faces of the prism are rectangles, and the sums of their areas give:
12 * 10 + 9 * 10 + 15 * 10 = 360 in^2
The area of each triangular base (notice it is a right triangle) is given by:
9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:
Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2