Your answer is 77/60 or 1 17/60
Answer:
87km
Step-by-step explanation:
Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.
Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.
100 * 0.87 km = 87 km
Answer:
a) 8.2962
b) 6.3956
c) 3.845
Step-by-step explanation:
Z-score:
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:
(a) What response represents the 85th percentile?
This is X when Z has a pvalue of 0.85. So X when Z = 1.037.
(b) What response represents the 62nd percentile?
This is X when Z has a pvalue of 0.62. So X when Z = 0.306.
(c) What response represents the first quartile?
The first quartile is the 100/4 = 25th percentile. So this is X when Z has a pvalue of 0.25, so X when Z = -0.675.
Answer:
Length of Sofa: 6ft / Height of scale model: 15in
Step-by-step explanation:
Sofa:
1 inch = 1 foot
6 inches * 1 foot = 6 feet
Scale Model:
60 feet to a 4 inch scale
60 feet / 4 inches = 15 inches (aka 60 feet)
Answer:
-9 is your answer for b.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Also note the rule that if you have a positive sign & a negative sign next to each other, the resulting sign would be negative:
b + (-17) = -26
b - 17 = -26
Isolate the variable (b). Add 17 to both sides:
b - 17 (+17) = -26 (+17)
b = -26 + 17
Simplify:
b = -26 + 17
b = -9
-9 is your answer for b.
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Remember the rules:
Addition sign + Positive number = Add (Ex: 7 + 7 = 14)
Addition sign + Negative number = Subtract (Ex: 7 + (-7) = 7 - 7 = 0)
Subtraction sign + Positive number = Subtract (Ex: -3 + 4 = 4 - 3 = 1)
Subtraction sign + Subtraction sign = Add (Ex: 5 - (-5) = 5 + 5 = 10)
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