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aniked [119]
3 years ago
5

Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da

y (rounded to the nearest hour):
Number of hours in school per day
4
5
6
7
8
Sample A: Number of students
70
100
125
135
70
Sample B: Number of students
80
90
120
125
85


Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer
asap
Mathematics
1 answer:
lukranit [14]3 years ago
5 0
To find the mean you must add up all the numbers you have together and then divide the buy the amount of numbers you added. When you add these numbers up you get 30, and we have 5 numbers here, when we divide 30 by 5 we get 6. So, Tara is correct in saying that the mean is 6.
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There are 20 20 coins in a jar. Each coin is either a nickel or a quarter. If one of the coins is selected at random, the probab
sveta [45]

Answer: there are 8 quarters in the jar

Step-by-step explanation:

Let x represent the number of nickels that is inside the jar.

The total number of coins inside the jar is 20.

Probability is expressed as

Number of possible or favorable outcomes/total number of outcomes.

The probability of selecting a nickel is 0.6. This is expressed as

0.6 = x/20

Cross multiplying, it becomes

x = 20 × 0.6

x = 12

Since there are 12 nickels inside the jar, then the number of quarters would be

20 - 12 = 8

3 0
4 years ago
Can someone help me find x.
Harman [31]

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

8 0
4 years ago
How to show the ratio 3:8 is equal to 12:32
Agata [3.3K]
12:32 is simply 3:8 but divided by 4 to both sides.
3 0
4 years ago
Read 2 more answers
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
Twelve less than a third of a number is -10
jolli1 [7]
I believe that number would be 6.
1/3n-12= -10
+12 +12
_________
1/3n = +2
x3 x3
_________
n = 6
7 0
4 years ago
Read 2 more answers
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