The probability of getting all heads is 1 / 2^6 = 1/64 as there is only 1 event where this happens in a possible 2^6 = 64 events. It is the same as the probability of getting all tails. The probability of getting at least 1 head is 1 - p(all tails) = 63/64.
false, false, true, false
*the scatter plot of the question is attached below
Answer:
Strong negative correlation
Step-by-step explanation:
In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.
Answer:
12 boxes per hour.
Step-by-step explanation:
Jake's family packed 22 boxes in 1 5/6 hours (that is, 1 hour plus 5/6 of a hour: 1 + 5/6 = (6+5)/6 = 11/6 hours).
So, to know the average number of boxes packed per hour, we can do a rule of three: If in 11/6 hours they packed 22 boxes, in 1 hours they packed X boxes.
22 boxes -> 11/6 hours
X boxes -> 1 hour
22/X = 11/6
X = 6 * 22 / 11 = 12
So, they packed an average of 12 boxes per hour.
Answer:
$1349
Step-by-step explanation:
Given data
Principal= $1000
Rate= 3%
Time= 10years
Applying the formula
A=Pe^rt
where e is the mathematical constant approximated as 2.7183
substitute
A=1000*2.7183^0.03*10
A=1000*2.7183^0.3
A=1000*1.349
A=1349
Hence the final amount after 10 years is
$1349
