Answer:
0.027
Step-by-step explanation:
The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.
Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.
Answer:
4.82
Step-by-step explanation:
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
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There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
if i didn't understand it wrong, * is (3-5) x (2)
so,
(3-5)x 2-16-2
=-2x2-16-2
=-4-16-2
= -22
But if * means (3-5)^2 -16-2
then its,
(3-5)^2-16-2
=(-2)^2 -18
=4-18
= - 14
But looks like both of them are not in your choice at all
0.2 is the correct answer. All you have to do is divide 1 by 5 to get 0.2
