Answer:
We conclude that a researcher used simple random sample.
Step-by-step explanation:
We know that select a sample of five children from a class of 30, a researcher puts each child’s name on a slip of paper, then shuffles the papers in a hat and randomly picks five names.
We conclude that a researcher used simple random sample.
Because every children has an equal chance of being included in the sample.
Answer:
B would be a *dependent* event, and A would be an *independent* event.
Step-by-step explanation:
Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.
For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.
For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.
Therefore, Option B is dependent and Option A is independent.
Answer:
33
Step-by-step explanation:
If m = Mother's age and d = daughter's age, we can make the following equations
m = 3d
m + d = 44
Now, using substitution, we can substitute m for 3d in the second equation:
3d + d = 44, 4d = 44, d = 11
Then, we can plug d into the first equation: m = 3(11) = 33
Answer:
y = -8x + 12
Step-by-step explanation:
Slope intercept form: y = mx + b
m ---> Slope & b ----> y-intercept
8x + y = 12
Subtract 8x from both sides
y = -8x + 12
Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30
Hence the larger part is 30 whereas the smaller part is 24
