Answer:
It is closer to 1/2.
Step-by-step explanation:
First of all, 10/9 is the same thing as 1 1/9.
Draw a number line:
1/2 1
--|------|------|------|-----|---|---|------|------|------|-----|-----
0/9 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
Halfway between 4/9 and 5/9 is the same as 1/2 and 9/9 is the same as 1.
You can see that 1/9 is way closer to 1/2 than 1.
So, 10/9 is closer to 1/2.
(There are other ways to solve this, but this way is easiest for me!)
Answer:
He would spend 100 dollars :)!
Hotdogs = $1.00
hamburgers = $1.75
5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y
5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)
checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔
equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
The shape of the distribution, is symmetric, is the best description of statistics about scores.
<h3 /><h3>What is standard deviation ?</h3>
The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.
The given data in the problem is;
Mean = 78%
Standard deviation = 4%
Min = 64
Median = 78
Q1 = 72
Q3 = 84
Max = 99
The condition for the symmetric distribution is found as;
From the data we have;
So that , .
Hence, the condition of symmetry is followed.
To learn more about the symmetry, refer to the link;l
brainly.com/question/15970176
#SPJ2
Answer:
below
Step-by-step explanation:
first put it in point-slope then slope intercept:
y+10=3(x+5)
y+10=3x+15
y=3x+5
now graph it
