Answer:
The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Step-by-step explanation:
Let, the car rental rate be $ x per day .
Jamal's trip will last for 4 day.
He expects to pay $ 24 for gas (if he rents the car)
He expects a taxi service would cost about $ 128
So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,
128 > 24 + 4x
⇒ 4x < 104
⇒ x < 26
So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Answer:
He can buy at least 34 pounds of fish.
Step-by-step explanation:
4x + 3x
240
7x
240
(240 divided by 7 gives you a decimal, so you would round it to the nearest whole number)
x
34
If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))
<u>Explanation</u>:
The given coordinates (
7
, π
/3
) look as if they are already in polar form (radius = 7
, and angle = π/3).
but in case (
7
, π
/3
) really are Cartesian coordinates (i.e. (
x
,
y
) =
(
7
, π/3
)
)
The radius is given by √(
x /2 + y/
2) and the angle by the arctan (
y
,x
).
Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.
Answer:
a: The mean of 800 customers per day
b: See below
c: z = -1.43
d: 0.0764
e: Fail to reject the null
Step-by-step explanation:
b: The hypotheses are:
H0: µ = 800
HA: µ < 800 (claim)
The mean number of daily customers was 800. She feels the number of customers has decreased, so the alternate is mu is less than 800.
c: See attached photo for the calculation of the test statistic
d: The probability is on the z table. Find the decimal that corresponds to the z-value of -1.43, which is: 0.0764
e: Since 0.0764 > 0.05, we fail to reject the null hypothesis. There is not enough evidence to support the claim that the number of customers visiting the dealership has decreased.