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SVETLANKA909090 [29]
3 years ago
9

Mary has taken 7 quizzes in her social studies course. She received the following grades on the quizzes: 94, 74, 78, 90, 85, 82,

78 Which statement about Mary's grades is true? A. The mean and median are equal. B. The mean and mode are equal. C. The median is 82 and the mode is 78. D. The mean is 83 and the median is 90.
Mathematics
2 answers:
Mumz [18]3 years ago
5 0
C) The median is 82 and the mode is 78.


You have to put them all in order first and calculate each one at a time. You should get mean- 83, mode-78, and median-82. All the other choices do not align with the answer.
Veronika [31]3 years ago
5 0
In order lowest to highest, Mary's grades are 
   74, 78, 78, 82, 85, 90, 94

The median grade is 82. The mode is 78 (2 grades).

The appropriate choice is ...
   C. The median is 82 and the mode is 78.


_____
The mean is 83, so statement A is false.
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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
Use compatible numbers to estimate the quotient 2,545÷4
victus00 [196]

Answer:

600

Step-by-step explanation:

round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600  

24/4 is 6 and you add the two zeros

3 0
3 years ago
Who do I do this problem
Leviafan [203]
You subtract 16 from each side of the equation.
Then it will say exactly what number 'n' is.
_______________________________________

The equation is                    n + 16 = 9

On the left side, you subtract 16 from (n + 16) and you have 'n'.

On the right side, you subtract 16 from 9 and you have  -7 .

Now the equation says          n      =  -7
3 0
3 years ago
How do you find the square root of a number?
joja [24]
By taking square root of a number using calculator
5 0
3 years ago
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
anyanavicka [17]

Answer:

Second factor is (x - 2).

Step-by-step explanation:

The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.

Now we will factorize the given polynomial to get the other factor.

3x² - 10x + 8

[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x -4)(x -2)

In this factorized form we get two factors as (3x -4) and (x -2).

Therefore the second factor is (x - 2).

6 0
3 years ago
Read 2 more answers
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