Answer:
A matched-pairs hypothesis test for μD
Step-by-step explanation:
The trainer wants to compare each athlete's time before the program to the time after the program. Since we're comparing times for the same athlete, the data is paired, so we should use a matched-pairs test.
Answer:
The correct option is 3.
Step-by-step explanation:
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90°, J' = 90°
K = 65°, K' = 65°
L = 25°, L' = 25°
In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.
In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.
In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Therefore option 3 is correct.
The vertex form of the function gives the vertex as (-6,48). The vertex of f(x)=x^2 is (0,0) so from this information, the vertex is moved LEFT 6 and UP 48. This cancels out two options. The coefficient -3 tells us that the graph is flipped or reflected over the x-axis (negative sign flips graph) and that all y-values will be 3 times as large. Larger y-values for the same x inputs makes the graph narrower.
There are 66 elephants in the safari.
Solution:
The number 88 refers to both elephants and giraffes that are in the safari. We know that the number of elephants is thrice the number of giraffes. So we can let x be the number of giraffes and 3x be the number of elephants.
We will then come up with the following equation:
3x + x = 88
Then, just add the two variables, and continue the operation.
4x = 88
x = 88/4
x = 22
Now we know that there are 22 giraffes in the safari. So 3x, or 3(22) = 66. There are 66 elephants in the safari.