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Wewaii [24]
3 years ago
7

Which linear inequality is represented by the graph? y ≥1/3 1/3x – 4 y ≤ x – 4 y ≤1/3x + 4 y ≥1/3x + 4

Mathematics
2 answers:
vovikov84 [41]3 years ago
8 0

Answer: d

Step-by-step explanation:

jenyasd209 [6]3 years ago
6 0

Answer:

Step-by-step explanation:

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The area of a tabletop is 48 square feet. the length is 3 times the width.if the dimensions are whole numbers, what is the width
posledela
(4 feet wide), 12 feet in length. 4*3=12    4*12=48
7 0
3 years ago
There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

     Original Mean = $70,000

       \frac{\sum X}{n} = $70,000  ⇒ \sum X = 70,000 * 10 = $700,000

   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

  Therefore, New mean = \frac{1600000}{10} = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

    Original \sum x^{2} = (20000^{2} * (10-1)) + (10 * 70,000) = $3,600,700,000

    New \sum x^{2} = $3,600,700,000 - 100,000^{2} + 1,000,000^{2} = 9.936007 * 10^{11}  

    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

7 0
4 years ago
What is the additive inverse of -4b
jek_recluse [69]
The additive inverse of -4b is 4b
5 0
3 years ago
Read 2 more answers
Find a polynomial f(x) of degree 3 that has the following zeros.
Thepotemich [5.8K]

Answer:

f (x) = x (x + 5) (x-9)

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function f (x) = 0

In this case we know that the zeros are:

x = 9,\  x-9 =0

x = 0

x = -5, x + 5 = 0

Now we can write the polynomial as a product of its factors

f (x) = x (x + 5) (x-9)

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3

3 0
3 years ago
A few years​ ago, a total of 2669 thousand people lived in the metropolitan areas of Las​ Vegas, Nevada, and​ Sacramento, Califo
aniked [119]
Let's make equation for this problem. Let's say the population of LV is x, then Sacramento will be x+275 since <span>Sacramento had 275 thousand more residents than Las Vegas. Remember that their total population is 2669, so your equation will be </span>x+275 +x=2669 

If you solve this equation, you have x=1197, that is population of LV. So Sacramento is 1472.
3 0
3 years ago
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