Answer:
15 inches
Step-by-step explanation:
Volume of a squre based pyramid :
V = a²(h/3)
a = base edge ; h = height
h =1/2 a
V = 4500
4500 = a² * (1/2a) ÷ 3
4500 = a² * a/2 * 1/3
4500 = a³/2 * 1/3
4500 = a³ / 6
27000 = a³
27000 = a³
Take the cube root of both sides
(27000)⅓ = a
30 = a
Recall:
h = 1/2a
h = 1/2(30)
h = 15 inches
Complete question:
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby this mention is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect so the probability of a girl is 0.5. Assume that the group consists of 36 couples.
A) Find the mean and standard deviation for the number of girls in groups of 36 births.
B) Use the range rule of thumb to find the values separating results that are significantly low and significantly high.
C) Is the result of 33 girls significantly high? A result of 33 girls would suggest the method is effective or is not effective?
Answer:
a) mean = 18
Standard deviation =3
b) low range = 12
High range = 24
c) The result of 33 girls is significantly high. Yes, the method is effective.
Step-by-step explanation:
Given:
p = 0.5
n = 36
a) The mean is the product of n and p
Mean u = np
u = 36 * 0.5 = 18
The standard deviation is the square root of the product of n and p&q.
S.d ó = 


b) To find the range rule of thumb:
• For low range
Low range = u - 2ó
= 18 - (2 * 3)
= 12
• High range
= u + 2ó
= 18 + (2*3)
= 24
c) The result is significantly high, because 33 is greater than 24 girls.
A result of 33 girls would prove the method as effective.
option B) 3 pounds of beef is needed to make 6 times the recipe.
<u>Step-by-step explanation</u>:
<u>step 1 </u>:
Mitch used 14 pounds of beef = 34 liters of beef strogonoff
'x' pounds of beef = 1 liter of beef strogonoff
<u>step 2</u> :
Rate = No. of pounds / No. of liters
(14 pounds / 34 liters) = (x pounds / 1 liter)
x = 14/34
x = 0.412
1 liter of beef strogonoff = 0.412 pounds of beef
<u>step 3</u> :
To make 6 times the recipe = 6
0.412
= 2.5 pounds of beef ( approximately 3 pounds)
Answer:
A
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
we know that
according to the graph
when g(x)=4
the value of x=2
see the attached figure to better understand the problem