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3 years ago

A) Write a rule for a polynomial with left end up and right end up behavior, and has a y-

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

y = x^2 + 3

Step-by-step explanation:

The equation I put has the left end up, the right end up, and has a y-intercept at (0,3).

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

5 0

1 year ago

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = $\frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}$

thus,

Marginal cost = $\frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}$

Marginal cost = $\frac{\textup{3,750-3,500}}{\textup{1}}$

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0

3 years ago

The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the

Gennadij [26K]

Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900

7 0

3 years ago

'Is the red line a radius or<br> diameter of the circle?

Marina86 [1]

Answer:

diameter

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls

Alina [70]

First add up the total parts in the ratio.
5 + 4 = 9
Now we need to know the value of each part
36 / 9 = 4
The girls has total of 4 parts, therefore we can just multiply the number of parts by the amount in each part
4 x 4 = 16
So there r 16 girls in the class

4 0

3 years ago