The ice cream shop invented 25 new flavors to try and out of this they discarded the 13 least popular flavors.
Therefore, the ice cream shop is left with flavors in their menu.
If the ice cream shop makes 80 cartons of each of the remaining flavors then that means the total number of ice cream cartons for all the 12 flavors the shop makes is:
Cartons
Answer:
The number of rainfalls is
The answer to the second question is no it will not be valid this because from the question we are told that the experiment require one pH reading per rainfall so getting multiply specimens(used for the pH reading) from one rainfall will make the experiment invalid.
Step-by-step explanation:
from the question we are told that
The standard deviation is
The margin of error is
Given that the confidence level is 95% then we can evaluate the level of significance as
Next we will obtain the critical value of from the normal distribution table , the value is
Generally the sample size is mathematically represented as
substituting values
The answer to the second question is no the validity is null this because from the question we are told that the experiment require one pH reading per rainfall so getting multiply specimens(used for the pH reading) from one rainfall will make the experiment invalid
Answer:
= 52
Step-by-step explanation:
Using the equation;
a3+b3=(a+b)3−3ab(a+b)
The sum, a+b =4
The product, ab = 1
Therefore;
a3+b3=4³−3(1)(4)
= 64-12
<u> = 52 </u>
For b you will substitute your x values for 0 and the. 1
For c make you're velocity o and use the quadratic formula and you will find your x values
Answer:
Step-by-step explanation:
2)f(x) = 2x² +4x - 3
a = 2 ; b = 4 ; c = -3
1) Put x = -1 in the equation
f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5
Vertex = (-1,-5)
2) Upward
3) Minimum
4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1
x = -1
5) domain: all real numbers (-∞ ,∞)
Range : y ≥ -5 ; [-5 , ∞)
3) f(x) = 3x² - 6x + 4
Vertex : (1,1)
Opening : upward
Minimum
Axis of symmetry: x = 1
Domain: all real numbers
Range: y ≥ 1 ; [1, ∞)
4)f(x) = -x² - 2x - 3
a) Vertex: f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2
Vertex( -1,-2)
b) downward
c) Maximum
d) Axis of symmetry: x = 2/-2 = -1
x = -1
e) Domain: all real numbers
Range: y ≤ -2 ; (-∞ , -2]
5)f(x) = 2(x -2)²
a) Vertex: (2, 0)
b) Opening: upward
c) Minimum
d) x = 2
e)Domain: all real numbers
Range: y ≥ 0 ; [0,∞)