Answer:
The total surface area of this square pyramid is 
Step-by-step explanation:
we know that
The surface area of a square pyramid is equal to
![SA=b^{2} +4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have
----> the length side of the square base
----> the height of the triangular faces
substitute the values
![SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}](https://tex.z-dn.net/?f=SA%3D9%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%289%29%2812%29%5D%3D297%5C%20mm%5E%7B2%7D)
Answer:
a) $ 22x -9
b) 44x - 18
c) $319
Step-by-step explanation:
Given that,
number of $1 bills wyatt has = (2x-1)
number of $5 bills wyatt has = (4x + 2)
The total amount of money that Wyatt has in terms of x
(2x - 1) + 5(4x + 2)
= 2x - 1 + 20x + 10
= $ 22x -9
The number of pens that Wyatt can buy if each pen costs 50 cents
$(22x - 9) * 100
= 2200x - 900 cents / 50
= 44x - 18
If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has
( 5 (4x + 2) / 2) + ( 2 (21) - 1)
= 215 + 41
= 256
As we know that Susan has $3x more than Wyatt
So,
256 + 3x
= 256 + 3(21)
= $319
Answer: 4 hours
Step-by-step explanation:
okay so you have to know your times tables 2*4=8 so 20*40=80 then if he paid a tip of 10$ that would equal $90 witch is what he paid.
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8
= (2
)³ ⇒ a = 2
27
= (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2 × 3y²) + (3y²)²)
= (4
+ 6y² + 9
)
Hence the factored form of the expression is C
