Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,
(4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices.
Answer:
Option (2)
Step-by-step explanation:
Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.
NP = N'P'
Coordinates of N → (5, 9)
Coordinates of P → (7, 9)
Formula of distance between two points
and
is,
d = 
By this formula length of NP = 
= 2 units
Therefore, Option (2) will be the correct option.
Answer:
a) P value = 0.0013
b) No, it is not plausible that the silicon content of the water is no greater than it was 10 years ago
Step-by-step explanation:
The null hypothesis here is “Mean is equal to 5” while alternate hypothesis is that “Mean is greater than 5”
Given
Mean = 5, x’ = 5.4 and sigma = 1.2 and n = 85
Z = x-u’/sigma/sqrt n
Substituting the given values, we get –
Z = 3.02
A) P value = 0.0013 which is less than 0.05 and thus we will reject the null hypothesis
B) There is enough evidence to reject the null hypothesis