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lbvjy [14]
3 years ago
7

Consider the dot plot which shows the distribution of data collected on the amount of time Jason sleeps each night. Find the dif

ference between the mean and median. (round to nearest tenth)
A) 0.2
Eliminate
B) 0.3
C) 0.6
D) 0.8

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

A) 0.2  

Step-by-step explanation:

From least to greatest, the data points are

6, 6, 6, 7, 7, 7, 8, 8, 8, 9

To find the mean, we find the sum of the data points and divide by the number of data points, 10.  The sum of the data points is

6+6+6+7+7+7+8+8+8+9 = 72

Dividing by 10, the mean is 72/10 = 7.2.

The median is the middle number in the set.  This is 7.

The difference between the mean and the median is

7.2-7 = 0.2.

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Write a polynomial function in standard form with zeros at −3, −1, and 1.
Annette [7]

Answer:

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

f(x) = (x + 3)(x + 1)(x - 1)

We expand the last two factors using difference of two squares.

f(x) = (x + 3)( {x}^{2}  - 1)

f(x) = x ( {x}^{2}  - 1) + 3( {x}^{2}  - 1)

f(x) = {x}^{3}  - x+ 3 {x}^{2}  -3

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

This is the standard form because it is now in decreasing powers of x.

8 0
3 years ago
2p + 3x = 680 x = 2p
svlad2 [7]
Use substitution. 

2p + 3(2p) = 680
2p + 6p = 680
8p = 680
p = 85

Plug in.
x = 2p
x = 2(85)
x = 170
p = 85
3 0
3 years ago
Read 2 more answers
HELP When 2((Three-fifths x + 2 and three-fourths y minus one-fourth x minus 1 and one-half y + 3)) is simplified, what is the r
lesya692 [45]

Answer:

<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>

Step-by-step explanation:

Given the expression 2(\frac{3x}{5}+2\frac{3y}{4}-\frac{x}{4}-1 \frac{1}{2}y+3)

To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

= 2(\frac{3x}{5}-\frac{x}{4}-1 \frac{1}{2}y+2\frac{3}{4}y+3)\\= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\

Then we find the LCM of the resulting function

= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\= 2(\frac{12x-5x}{20} - (\frac{6y-11y}{4})+3)\\= 2(\frac{7x}{20}- (\frac{-5y}{4})+3 )\\= 2(\frac{7x}{20}+ \frac{5y}{4}+3 )\\= \frac{7x}{10} + \frac{5y}{2} +6\\=  \frac{7x}{10} + 2\frac{1}{2}y+6\\

The final expression gives the required answer

7 0
3 years ago
Please help asap. BRAINLIEST--
son4ous [18]
D. Rectangle
It will be smaller than the base
8 0
3 years ago
How many minutes are there in 2 3/5 hours
mars1129 [50]

156 minutes.

To find this, remember that an hour has sixty minutes. With this information, it is also given that there are two hours, thus meaning that we have to multiply sixty by two. This will give you 120. Next, you need to figure out the 3/5's portion of an hour. To find 1/5 of an hour, simply divide sixty by five. With that, you get the answer of 12. But because it says 3/5, you need to multiply 12 by 3, giving you 36. Finally, you add 36 to 120 to get the final answer of 156.

Hope this helps!

5 0
3 years ago
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