Answer:
1509
Step-by-step explanation:
We know that, formula for number of samples is,
When nothing is given, we take and we know that .
SE = 0.03 (the true proportion should remain withing 3%)
Putting the values we get,
Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.
Answer:
The answer is 132
Step-by-step explanation:
First, find the area wholely, 20x8 = 160. Then find the triangle which is 7x 8 divided by 2 is 28 and you subtract the whole are by the triangle which is 160 - 28 is 132
Answer:
8
Step-by-step explanation:
3(2)-2(1-2) / 3-2
6+2 / 1
8/1
= 8
Step-by-step explanation:
WB = 13.2
we know that diagonal of parallelogram bisect each other
so, WB = YB
BY = 13.2
Taking into account the discriminant of a cuadratic function, values of c less than cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
<h3>Discriminant of a cuadratic function</h3>
The function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
- If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
- If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .
- If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
<h3>Value of c</h3>
In this case, for the quadratic equation -x²+3x+c=0 you know:
If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c<
Finally, values of c less than cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Learn more about the discriminant of a cuadratic function:
brainly.com/question/14477557