Volume of cube is side power 3
therfore cubic root volume = side length
volume = 512 --> cubic root 512 =8 cm
side length is 8 cm if it was doubled
side length= 16 cm
therefore side length after doubling =
side power 3
(16) to the power 3 = 4096 cm3
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
2 more cups of flower because 24/8 is 3 so 1 cup makes 3 muffins
True since each inch is 4 miles you time 6 by 4
false it says it is 12 miles so you divide that by 4 to get the inches
false if A to B is 24 and B to C is 12 miles there is clearly much more then 4 miles between A and C
1,760(5) =8,800
B. 8,800 yards
