Answer: x=3/2
Step-by-step explanation:
Multiply the parentheses by 2/3. 9=2/3x+8.
Multiply both sides by 3 . 27=2x+24
Move the term. When moved to the left side it changes from positive to a negative. -2x=24-27.
-2x=-3
Divide both sides by -2
x=3/2 (x=1 1/2, x=1.5)
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = 
← factor numerator and denominator
= 
← cancel the factor (x + 5) on numerator/denominator
= 
= 10
Step-by-step explanation:
1st digit is 1 number (1)
2nd digit is (3,4,5) so it's 3 numbers
third digit is (6,7,8,9) is it's 4 numbers
last 7 digits is 10 (0,1,2,3,4,5,6,7,8,9)
multiply
1*3*4*10=120
so answer is 120 phone numbers
Answer:
The test statistic = -0.93
Step-by-step explanation:
The test statistic is given by the formula
z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)
where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425
X₂ = proportion of other country tourists = (72/150) = 0.48
σₓ₁ = standard error in data 1 = √[p(1-p)/n]
= √(0.425 × 0.575/134) = 0.0427
σₓ₂ = standard error in data 2 = √[p(1-p)/n]
= √(0.48 × 0.52/150) = 0.0408
z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)
z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)
z = -0.055 ÷ 0.0590586996
z = -0.9313
Hope this Helps!!!
Answer:
d(4) = 64
Step-by-step explanation:
Using the recursive formula
d(n) = d(n - 1) + 17 with d(1) = 13, then
d(2) = d(1) + 17 = 13 + 17 = 30
d(3) = d(2) + 17 = 30 + 17 = 47
d(4) = d(3) + 17 = 47 + 17 = 64
