Write an equation of a line in slope intercept form that is perpendicular to y = -4x -2 and passes through the point (-16, -11).
1 answer:
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ANSWER
EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,
From the triangle,
We multiply both sides of the equation by 60 to get,
We solve for x to obtain,
To the nearest tenth, we round to one decimal place to get,
EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,
From the triangle,
We multiply both sides of the equation by 60 to get,
We solve for x to obtain,
To the nearest tenth, we round to one decimal place to get,
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
<em>aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment </em>.
<u>A) Determine the test statistic </u>
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / = 2.12
<u>b) determine the p-value</u>
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%