Answer:
-$3.25
Step-by-step explanation:
She had $5 to begin with and ended with $1.75 the change is - because she has less 5-1.75=3.25
Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
Answer:
a. (4, 13/6)
b. (4, -5/6)
c. (4, 5/6)
Step-by-step explanation:
sorry if it is not right.
Answer:
The result will be smaller than 2.6s, 16% of the time.
Step-by-step explanation:
This is a normal distribution problem
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = the random value = 2.6 s
xbar = mean = the average = 3.4 s
σ = standard deviation = 0.8 s
z = (2.6 - 3.4)/0.8 = - 1
P(x < 2.6) = P(z < - 1) = 1 - P(z ≥ - 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159 = 16%
All you have to do is divide 190 liters by 3.8 liters. To get the calculated amount of gallons.
