Answer:
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the average speed of greyhound dogs is about 18.4 meters per second.
Size of the sample 'n' = 35
mean of the sample x⁻ = 18.7
Population standard deviation = 1.5m/s
level of significance (∝) = 0.05
<u><em>Step(ii):-</em></u>
Null hypothesis : H₀ : μ = 18.4
Alternative hypothesis H₁ : μ ≠ 18.4
Test statistic
Z = 1.183
<u><em>Conclusion:</em></u>-
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
I believe the answer is $417.91
Answer:
ABC is an isosceles triangle.
Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.
Step-by-step explanation:
I can conclude that triangle ABC is an isosceles triangle.
Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.
Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.
Therefore angle C for both triangles CDA and CDB is of equal measure.
We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.
The two triangles also share the same side CD.
Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).
Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.
This is assuming that the question laid out the sequence of a calculation.
4y x 3y + z = 100
12y^2 + z = 100
