100,000,000 + 5,438,724,022 = 5,538724022
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>
<em><u>Solution:</u></em>
<em><u>Given is:</u></em>
We have to find the vertex and axis of symmetry
<em><u>The general equation is given as:</u></em>
Comparing with given equation,
a = 2
b = 0
c = -1
<em><u>The axis of symmetry is given as:</u></em>
Thus axis of symmetry is 0
The x coordinate of the vertex is the same
x coordinate of the vertex = 0
h = 0
The y coordinate of the vertex is:
k = f(h)
k = f(0)
Thus, y coordinate of the vertex is -1
Therefore, vertex is (0, -1)
Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y: y = 7 - 2x. Substituting this into 5x - 3y = 23,
5x - 3(7 - 2x) = 23. Multiply out -3(7 - 2x):
5x - 21 + 6x = 23. Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.
Thus, x = 4. Since y = 7 - 2x, subst. x = 4 results in the value of y:
y = 7 - 2(4) = 7 - 8 = -1.
The solution is (4,-1).</span>
Answer:
The third one
Step-by-step explanation:
all of them will preserve congruency
