Answer:
The constant term in the function is 5
Step-by-step explanation:
we have

where
b is the y-intercept or the constant term of the function
Remember that
The x-intercept is the value of x when the value of the function is equal to zero
so
For x=-3 ----> f(x)=0
For x=-5 ----> f(x)=0
substitute any of the intercepts in the function
For x=-3





Verify with the other intercept
For x=-5


---> is true
therefore
The constant term in the function is 5
Answer, step-by-step explanation:
A. With the previous exercise we can deduce that there is the situation of a number of sales in a grocery store, the relative frequency for the number of units sold, is shown below:
units sold. relative frequency. Acumulative frequency. interval of random numbers
30. 0.16. 0.16. 0.00 <0.16
40. 0.24. 0.4. 0.16 <0.4
50. 0.3. 0.7. 0.4 <0.7
60. 0.2. 0.9. 0.7<09
70. 0.1. 1. 0.9<1
B. For the next point, they give us some random numbers and then it is compared with the simulation of 10 days in sales:
random Units
number. sold
0.12. 30
0.96. 70
0.53. 50
0.80. 60
0.95. 70
0.10. 30
0.40. 50
0.45. 50
0.77. 60
0.29. 40
the two lists are compared so that opposite each one is the result of the simulation
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Answer:
The following are the answer to this question:
Step-by-step explanation:
In the given question the numeric value is missing which is defined in the attached file please fine it.
Calculating the probability of the distribution for x:

The formula for calculating the mean value:




use formula for calculating the Variance:
![\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B%5Ctext%7BVariance%7D%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%7D)

calculating the value of standard deivation:
Standard Deivation (SD) =

Given:
the design is to be rotated about the line x = 1 to produce the shape of the urn.
To generate a design for the urn, we need to draw a vertical line at x = 1, this will be our axis of rotation (or the basis for our mirror). We will use the mirror principle in making our design. So we will either draw half the shape of the urn at the left or right side of the axis of rotation.