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3 years ago

Give a direct proof that the sum an even integer and an odd integer is odd.

1 answer:

5 0

Even integer: 2 x a, where a is a natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
So, 2 x a + 2 x b+ 1 = 2 x ( a + b ) + 1, which is an odd integer.

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What is an equation of the like with a slope of 1/4 and a y intercept of -2

SVEN [57.7K]

Y = mx + c is the general equation of a line. m is the slope and c is the y intercept, by substituting these values in you get y = 1/4 x -2

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3 years ago

Read 2 more answers

Math homework questions

DanielleElmas [232]

Y= 1/2x -2 is the equation for this line.

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3 years ago

Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

3 years ago

select the expression that represents the following problem: a glass hold 1/4 sliter of liquid. how many glasses of liquid are i

Alex777 [14]

Answer:

20 glasses

Step-by-step explanation:

A glass holds 1/4 liter of water so if you have 4 cups you will have 1 liter of water. If you need 5 liters than you just multiply the number of cups per liter by the number of liters

4 x 5 = 20

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3 years ago

A research team is testing a product that will minimize wrinkles among women. Volunteers in the age group of 40 to 45 are includ

artcher [175]

There are mistakes in the answer options attached. These are the correct ones.

a. The group that received the bottle of solution is the control group.

b. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group.

c. Both the groups are control groups.

d. Neither group is an control group.

Answer:

B. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group

Step-by-step explanation:

In an experiment of this type, the control group is the group that does not contain the treatment. So in this group The effect of the treatment unknown unlike the experimental group which gets the treatment that the researcher is trying to find it's effect.

I. Conclusion, the group that got bottles that did not contain Ingredients for wrinkles lessening is the control group.

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3 years ago