The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
Answer: The probability is zero.
Step-by-step explanation:
The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.
Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.
We do not have cards labeled with a 4, so the probability is:
p = 0/4 = 0
because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.
According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
<h3>What is linear regression?</h3>
Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.
- Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5.
- Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,
- The mean of time value, 2.25.
- The mean of temperature value 88.05
- Sum of squares 20.625
- Sum of products 93.625
The regression equation for this data can be given as,
Put the value of temperature (y) 100 in this equation.
Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
Learn more about the regression here;
brainly.com/question/25226042
Because the area in the drawing is 36 cm^2, one side length is 6 cm.
On the actual floor, this equates to 24 ft.
This means the area of the floor in real life is 576 square feet.
Therefore the ratio is 36 square centimetres : 576 square feet.
This is the same as 1 square centimetre : 16 square feet.
Don't worry, I'll help you!
1. What is a function?
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."
</span>2. What is the difference between a linear and non-linear function?
"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line."
</span>
<span>3. Constant Interval, and how does it appear on a graph
</span>Definition:
"Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."
How does it appear on a graph?
</span>
"Functions can either be constant, increasing as x increases, or decreasing as x<span> increases."
</span>
<span>4. Identifying the rate of change
</span>
Yes, you can:
"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."
</span>
<span>5. Determining if it is a linear function or not
</span>
"A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1."
</span>
THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!
-Jina Wang, from Middle School
