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:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
Answer:
$402
Step-by-step explanation:
Hello!
If you made 3.80 an hour and worked 40 we can multiply these to find the total amount you earned.
3.80 * 40 = 152
You also made 250 in tips so we add that to the total
152+250 = 402
The answer is $402
Hope this helps!
Answer:
Total volume in the two glasses is 740 mL.
Step-by-step explanation:
Given:
Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2
Volume of soda in glass A = 320mL
To Find :
The total volume in the two glasses = ?
Solution:
Let the volume of soda in glass B be x
then
Substituting the values ,
x = 420
Now total volume of soda in the two glasses
=> volume of soda in glass A + volume of soda in glass B
=> 320 + 420
=>740mL
