X+x+2= 156
<span>2x+2=156 </span>
<span>2x= 154 </span>
<span>x= 77 </span>
<span>1st number = 77 </span>
<span>2nd number = 79</span>
A) The original claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
<h3>How to identify the hypothesis claim?</h3>
We are given;
Sample size; n = 576
Sample Proportion; p^ = 59% = 0.59
A) The percentage of 59% represents the proportion of a sample and thus we are making a claim about the population proportion p in the hypotheses.
We claim "most of the adults", which indicates more than 50% or 0.50. Thus, the claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
Read more about hypothesis claim at; brainly.com/question/15980493
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2 + 3x = 4 + 2x + x^2
x^2 - x + 2 = 0
(x - 0.5)^2 - 0.25 + 2 = 0
(x - 0.5)^2 = -1.75
x - 0.5 = +/- sqrt 1.75 * i
x = 0.5 + 1.32i , 0.5 - 1.32i answer
Given that the directrix is at y = 4 and the focus is at (0, -4), then the vertex is at (h, k) = (0, 0).
p is the distance between the vertex and the focus and between the vertex and the directrix = 4 and since the focus is below the directrix, p is negative, i.e. p = -4
Equation of a parabola is given by (x - h)^2 = 4p(y - k)
Therefore, the required equation is (x - 0)^2 = 4(-4)(y - 0)
x^2 = -16y
y = -1/16 x^2
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
