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:
She should order 96 orange shirts
Step-by-step explanation:
The picture is shown below.
From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.
If she assumes the trend is going to continue the number of orange she should order can be calculated below.
Let us find the ratio of orange shirt sold to the total colored shirt sold.
orange shirt sold / total colored shirt sold = 5/26
This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.
5/26 = x/ 500
cross multiply
2500 = 26x
divide both sides by 26
x = 2500/26
x = 96.15
x = 96 orange shirts
She should order 96 orange shirts
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;




Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;

Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of
given that X(t)=5 is:

Well, first you want to figure out how many sentences Jolie has left to read. You can do that by multiplying 120 by 17 which equals 2,040. Then you have to divide 2,040 by 14. The answer to that is about 145.72 which you could just leave at about 145 minutes. And to simplify that even more you could divide by 60 and figure that 145.72 is about 2 hours and 42 minutes.
Answer:
86.4
Step-by-step explanation:
72x.20= 14.4
72+14.4=86.4
I'm pretty sure this is right