Answer:
The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.
We can find the values of 
and 
using the above form formula.
;
From the given table, we have the values of P(A), P(D), 
and 
.
Since, Probability=
∴
, 
, 
and 
Now, putting these values in above formula we get,
.
As, you can see above that the values of P(A|D) and P(D|A) are not equal.
9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29
![a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77](https://tex.z-dn.net/?f=a%3D%20Y%5Bbar%5D-%20bX%5Bbar%5D%3D%20380.35-%28-30.18%29%2A59.29%3D%202169.77)
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
Answer:
UNTUU HULLUM
Overfishing occurs when more fish are removed from an ecosystem than can be maintained by the population,
Overfishing can lead to significant population declines in economically important species. The passage describes
additional impacts of overfishing on populations.
pressure affects
salmon fishery of
and 1970s, pink
n this fishery were
ihile allowing
nd 1974, the
inland spawning
approximately
to spawn at the
Isted that fishing
lower growth rates
According to the passage, which mechanism explains the observed changes in fish size over time?
A. Smaller fish produce fewer eggs than larger fish do, so they contribute fewer offspring to the next
generation.
B. Fish that are small enough to escape fishing nets are more likely to survive than larger fish.
C. Scientists found that Atlantic silversides exhibited changes in feeding and foraging rates after four
generations of selection,
D. The average size of pink salmon returning to spawn decreased from 6.0 pounds to approximately 4.5
pounds.
Answer:
26.8<u>3</u>
Step-by-step explanation:
5/6=0.83333 repeating
