Answer:
(a) Having a smashed corner need to now not depend on whether or not the carton had a puncture or not,
so these occasions have to be independent.
One manner to check it the usage of the given probabilities:
If P(A)P(B) = P(A and B), then the events are independent.
Here we have : (0.05)(0.08) which is 0.004, that is P(A and B), so the events are independent.
(b) P(A or B) = P(A)+P(B)-P(A and B) = 0.05 + 0.08 – 0.004 = 0.126
Step-by-step explanation:
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Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending

David bought 3 pencils and 4 erasers, spending

The system of equations is written in the form

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3

Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03
Say you have 3 cakes. How many cakes would you have eaten if you ate 1/3 of the three cakes? One, you have eaten one cake, out of the three you have.
How many cakes do you have left if you eat 2/3 of the three cakes? Two, you have eaten 2 cakes, and have 1 cake left.
It is a similar approach here, except the confusing part is working "forward", when you really have to work "backward". If you have driven 30 miles, and you have driven 2 parts out of the trip when there is 3 parts of the trip, how many miles have you driven? Hint: Dividing 30 by 2 gives you what fraction of the distance to Jeff's grandmother?
Complete question :
Chuck lives 4/5 of a mile from the post office. He walked 2/3 of the way from home to the post office. How far did Chuck walk? If possible, write the answer in reduced form
Answer:
8/ 15 miles
Step-by-step explanation:
Given that:
Distance from house to post office = 4/5 miles
Distance walked = 2/3 of the distance
Hence, the distance walked can be obtained thus :
2/3 of (4/5)
2/3 * 4/5
8 / 15
Hence, Chucks walked 8 /15 miles
Answer:
Step 4
Step-by-step explanation:
Bryan wants to ship three medium-sized boxes. Two companies offer different rates.
Company Rate
A
$14.65 per box
B
First box is free, $16.20 for any additional boxes
Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?