During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim
2 answers:
Answer:
Step-by-step explanation:
Given :
Juan rolled a six-sided number cube 18 times.
The number two occurred four times.
To Find: Juan claimed the experimental probability of rolling a two was approximately 1/9. Why is Juan’s experimental probability incorrect?
Solution:
Total events = number of times cube rolled = 18
Favorable events = The number two occurred four times. = 4
So, Experimental probability =
=
=
Thus the experimental probability of rolling a two was
So, Juan’s experimental probability was incorrect.
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Answer:
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).
Step-by-step explanation:
<u>Larger quadrilateral</u>
Length of the top and bottom segments are 6 units.
Length of the left and right sides:
d = √[(-5 - (-2))² + (3 - 0)²] = √[3² + 3²] = √(2*3²) = 3√2 units
From point (-5, 3) to point (-2, 0) the slope is:
m = (3 - 0)/(-5 - (-2)) = -1
<u>Smaller quadrilateral</u>
Length of the top and bottom segments are 2 units.
Length of the left and right sides:
d = √[(-2 - (-1))² + (1 - 0)²] = √[1² + 1²] = √2 units
From point (-2, 1) to point (-1, 0) the slope is:
m = (1 - 0)/(-2 - (-1)) = -1
If you dilate the smaller quadrilateral by a factor of 3, you get the larger quadrilateral (they have the same slope, and 3 times length of the smaller quadrilateral is equal to the length of the larger quadrilateral).
Answer:
And the answer for this case would be :
after round the value
Step-by-step explanation:
We have the following data set given:
31, 33, 36, 41, 34
If we want to find the standard deviation we need to find first the sample mean with this formula:
And replacing we got:
Now we can find the sampel deviation with this formula:
And replacing we got:
And the answer for this case would be :
after round the value