Answer:
At least 8.96 hours of sleep to be in the top 1%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
How many hours of sleep to be on the top 1%?
The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then
At least 8.96 hours of sleep to be in the top 1%.
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
Answer:
Step-by-step explanation:
volume of one cube = ½×½×½ = ⅛ cm³
volume of prism = 5×3×6 = 90 cm³
90/(⅛) = 720 cubes to fill the prism.
volume of bottom layer of cubes = 5×3×½ = 7.5 cm³
7.5/(⅛) = 60 cubes on the bottom layer
Each layer is ½ cm in height
6 cm × (1 layer)/(½ cm) = = 12 layers
perimeter = 2×5 + 2×3 = 16 cm
The nth term of any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth term, a=initial term, r=common ratio, n=term number...
We can easily see that the first term, a=-8
The common ratio is 4/-8=-2/4=1/-2=r=-1/2 so the rule is:
a(n)=-8(-1/2)^(n-1) so the tenth term is:
a(10)=-8(-1/2)^(10-1)
a(10)=-8(-1/2)^9
a(10)=1/64
Answer:
1/2
Step-by-step explanation:
First square area = 4cm^2, thus the side length is 2cm
Second square area = 16cm^2, thus the side length is 4cm
This gives a ratio of 2/4, simplifying yields 1/2
