5. Taking a cruise is a costly discretionary expense. In a recent year, the top fivecruise lines in the world had this many passengers:
4,133,000 2,369,000 1,295,000 928,000 679,000
Round your answers to the nearest integer.
a. The computations will be easier to work if you view this problem in terms
of thousands of passengers. Represent each number in terms of thousands
of passengers.
b. What is the mean number of passengers for these five cruise lines? (Give
the full number.)
c. What is the range? (Give the full number.)
d. What is the standard deviation? (Give the full number.)
Answers
Final answer:
The numbers in thousands are: 4133, 2369, 1295, 928, 679. The mean is 1881 thousand passengers, the range is 3454 thousand passengers, and the standard deviation is approximately 1218 thousand passengers.
Explanation:
Part A: To represent each number in terms of thousands of passengers, we simplify them as follows: 4,133,000 is 4,133 thousands of passengers, 2,369,000 is 2,369 thousands, 1,295,000 is 1,295 thousands, 928,000 is 928 thousands, and 679,000 is 679 thousands.
Part B: To calculate the mean number of passengers, you would add up all the passenger numbers and then divide by the number of values (5 in this case). This adds up to 9,404,000 passengers or, in terms of thousands, 9,404. Divided by 5, this gives a mean of 1,880,800 passengers, or 1,881 thousands of passengers.
Part C: The range is calculated by subtracting the smallest number from the largest. In this case, that would be 4,133,000 - 679,000 = 3,454,000, which is also 3,454 thousands of passengers.
Part D: Calculating the standard deviation involves multiple steps. First, for each value, subtract the mean and square this result. Then, calculate the mean of these squared differences. Finally, take the square root of this mean. Doing so, the standard deviation is approximate 1,217,982 passengers, or 1,218 thousands of passengers.
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Related Questions
Ice cream sales and the number of shark attacks have a positive correlation. The conclusion that eating ice cream causes shark attacks is A) justifiable, because the milk in ice cream attracts sharks. B) justifiable, because a positive correlation implies causation. C) not justifiable, because a positive correlation negates causation. D) not justifiable, because ice cream sales and shark attacks both rise during the summer.
The cost to ride a ferris wheel is $2.00 per person. The ferris wheel has a capacity of 64 people. The amount of money collected is a function of the number of people who ride on the ferris wheel. M(p)=2p the domain of this function is restricted to
Once again im still struggling with this
HELP !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.
Step-by-step explanation:
Answers
.
I used the Pythagorean Theorem to find my answer. I plugged in 7 for the long side and 4 for the short side and then solved.
.
Hope this helps :)
(B) Find the demand equation.
(C) Find the equilibrium price and quantity
Answers
Answer:
(A) Find the supply equation.
Qs = 245.67 + 333.33Ps
(B) Find the demand equation.
Qd = 1079 - 1000Pd
(C) Find the equilibrium price and quantity
Price P = $0.625
Quantity Q = 454 bushels
Step-by-step explanation:
The demand equation is of the form;
Q = a - bP
The supply equation is of the form;
Q = c + eP
We need to determine the values of a,b,c,d;
At $ 0.49 per bushel, the daily supply for wheat is 409 bushels, and the daily demand is 589 bushels
589 = a - b(0.49) ........1
409 = c + e(0.49) .........2
When the price is raised to $ 0.85 per bushel, the daily supply increases to 529 bushels, and the daily demand decreases to 229 bushels;
229 = a - b(0.85) ........3
529 = c + e(0.85). .......4
Subtract equation 3 from 1
589-229 = b(0.85) - b(0.49)
360 = b(0.36)
b = 360÷0.36
b = 1000
Using equation 1
589 = a - 1000(0.49)
a = 589+490 = 1079
Subtract equation 2 from 4
529-409= e(0.85) - e(0.49)
120 = 0.36e
e = 120/0.36
e = 333.33
Using equation 2
409 = c + 333.33(0.49)
c = 409 - 333.33(0.49)
c = 245.67
Therefore the demand equation is;
Qd = 1079 - 1000Pd
The supply equation is ;
Qs = 245.67 + 333.33Ps
The equilibrium price is at Qs = Qd and Ps = Pd
1079-1000P = 245.67 +333.33P
P = (1079-245.67)/(1000+333.33)
P = $0.625
Qd = 1079 - 1000(0.625)
Qs = Qd = 454
Half circle: 1.5 in
Answers
Answer:
3.5 in²
Step-by-step explanation:
Given:
Radius (r) = 1.5 in.
Formula for area of half circle = (πr²)/2
Required:
Area of the half circle
Solution:
Plug in the values into the formula for area of half circle.
Thus:
Area = (π × 1.5²)2
= 7.06858347/2
Area = 3.5 in² (nearest tenth)
Final answer:
The area of a half circle with radius 1.5 inches is calculated using the formula πr2/2, which gives approximately 3.53429 square inches.
Explanation:
The formula given - πr2/2 - is the correct formula for calculating the area of a half circle. In mathematics, the area of a full circle is calculated using the formula πr2. Since a half circle is simply half of a full circle, you just multiply that result by 1/2 (or divide it by 2), hence πr2/2.
The question states the radius (r) is 1.5 inches. To solve for the area of the half circle, you can simply substitute this value into the formula like so: π * (1.5)2 / 2.
First, square the radius: 1.5*1.5 = 2.25. Multiply by π (roughly 3.1416): 2.25 * π = 7.06858. Finally, divide by 2: 7.06858 / 2 = 3.53429 square inches.
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Answers
Answer:
7.75
Step-by-step explanation:
6-4=2
2 times the square root of 3=3.46410161514
square root of 5 times 3.46410161514=7.74596669242
to 2dp=7.75
Answers
The simplified algebraic expression using exponents is simplifies to
To simplify the given expression using exponents, follow these steps:
Multiply Coefficients: Multiply the coefficients (-3) and (2) to get -6.
Combine Like Bases: For the variables with the same base (l and w), add the exponents when they are multiplied together.
Here, , and
Final Simplified Expression: Combine the results from steps 1 and 2 to get
Therefore, the simplified expression using exponents is simplifies to
.The expression has been simplified using the rules of exponentiation. This simplification helps in reducing the complexity of the expression and making calculations easier.
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Answer:
Step-by-step explanation:
(-3)(2)= -6
(l^2w^3)(lw^4) = l^3w^7
-6l^3w^7