Answer: 44
Step-by-step explanation:
1/5 of the slab are grey implies that 4/5 are yellow.
The ratio of grey to yellow is thus given as :
1/5 : 4/5
which is 1 : 4
Therefore , the ratio of grey to yellow is 1: 4
The total ratio = 1 + 4 = 5
To calculate the number of yellow , we use the formula
number of yellow = 
X total number of slabs , that is
number of yellow = 
X 55
number of yellow slab = 44
Answer:
The charges paid for the first four days are:
Step-by-step explanation:
To obtain the charges paid for the first 4 days, you must use the given explicit rule given:
Where:
- <em>n = Number of days the person rents the car.</em>
As we need to obtain the charges to 4 days, we replace this value in the explicit rule:
- f (n) = 28n + 32
- f (4) = 28(4) + 32
- f (4) = 112 + 32
- <u>f (4) = 144</u>
With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.
Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)
Answer:
a) b) the standard deviation and the mean is affected by the conversion factor as well
c) the mean is displaced by b units
Step-by-step explanation:
for a new variable
Y=a*X , where a= constant (conversion factor= 1 kg/2.2 pounds)
then
p(y)= p(a*X) = p(X)
a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)
mean =μ=a*μₓ
b) σ² = ∑ (Y-μ)²* p(y) = ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²
then
standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ
standard deviation = σ= a*σₓ
then the standard deviation and the mean is affected by the conversion factor as well
c) nevertheless for a displacement b
Y₂=X + b (b= constant= 50 gr)
p(Y₂)= p(X + b) = p(X)
then
mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -
mean =μ=μₓ - b
then the mean is displaced by b units
A = π r^2
A = 9^2 <span>π
</span>A = 81<span>π
if using </span>π = 3.14 then
A = 3.14 x 81 = 254.47 ft^2
answer: 81π ft^2 or 254.47 ft^2
hope that helps
