Answer:
(a) X(in '000s) = 4133, 2369, 1295, 928, 679.
(b) The mean number of passengers for these five cruise lines is 1880.8.
(c) The range of the data is 3454.
(d) The standard deviation of the data is 1414.75.
Step-by-step explanation:
We are given that in a recent year, the top five cruise lines in the world had this many passengers:
4,133,000, 2,369,000, 1,295,000, 928,000, 679,000
(a) Let X = Number of passengers in the top five cruise lines in the world
Representing each number in terms of thousands of passengers below;
X(in '000s) = 4133, 2369, 1295, 928, 679
(b) The mean of the data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
Here, n = number of observations in data = 5
So, [tex]\bar X[/tex] = [tex]\frac{4133+2369+1295+928+679}{5}[/tex]
= [tex]\frac{9404}{5}[/tex] = 1880.8
Hence, the mean number of passengers for these five cruise lines is 1880.8.
(c) The range of the data is calculated by the following formula;
Range = Highest value - Lowest value
= 4133 - 679 = 3454
Hence, the range of the data is 3454.
(d) The standard deviation of the data is given by the following formula;
Standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]
= [tex]\frac{(4133-1880.8)^{2}+(2369-1880.8)^{2}+.......+(679-1880.8)^{2} }{5-1}[/tex]
= 1414.75
Hence, the standard deviation of the data is 1414.75.
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
14.9 miles
Step-by-step explanation:
If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.
We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:
a² + b² = c²
14² + 5² = c²
221 = c²
14.9 = c
= 14.9 miles
I have to write 20 characters to ask this quesiton
Answer:
You should check off boxes 1, 2, 5, and 6
Step-by-step explanation:
These are all irrational numbers because their decimal places go on indefinitely.
Error Analysis The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)
Answer:
-28
Step-by-step explanation:
-7 (2-1)-21
-7 (2-1)=-7
-7-21=-28
15 ‒ 5x = 6x + 3 – 2x
Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
Assume two independent random samples are available which provide sample proportions. For the first sample assume n1= 100 and x1= 39. For the second sample, assume n2= 100 and x2= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth.
a) z-value = -1.425 p-value= 0.077 statistically significant
b) z-value = 1.425 p-value= 0.077 not statistically significant
c) z-value = 1.425 p-value= 0.077 statistically significant
d) z-value = -1.425 p-value= 0.1543 not statistically significant
Answer:a) z-value = -1.425 p-value= 0.077 statistically significant
Step-by-step explanation:
Given the following :
n1 = 100; x1 = 39 ; n2 = 100 ; x2 = 49
Z value for two independent samples can be obtained using the relation :
Z = (p1 - p2) /(√p(1-p)) * (√[(1/n1) + (1/n2)]
Z = -1.425
P-value : using the online p-value calculator at a confidence level of 90% from z score
Obtained p value = 0.077079
The p value is less than 0.1 , hence result is significant at p<0.10
What are REAL Numbers? (definition) What is one example of a property of real numbers? What was your favorite way to learn in Algebra 1?
Answer:
a) The set of real numbers is the union of the set of Irrational numbers and the set of rational numbers.
b) Real numbers have a lot of properties, one example is that they are closed under a lot of operations, like addition or multiplication.
This means that if we have two real numbers A and B:
A + B is also a real number.
A*B is also a real number.
c) A good way to learn Algebra (or math in general) is:
First, read the textbook, have a general idea of the complete topic, if you don't understand something, keep reading, just take note of all the things you don't understand.
Second, ask the things that you do not fully understand, not shame in it, math has a lot of complex relations that sometimes can be really hard to understand, and there are a lot of cases (at least for me) where one can think that understands very well a topic, but it is wrong, so in order to avoid this, ask everything you can.
Third, do a LOT of exercises, the only way in which you can learn to use your equations and relations is applying them in math problems, and it will also help you to understand the meaning of those equations in a more profound way.
PLEASE ANSWER
-It took Clare 30 minutes to walk around the garden at a constant speed. At what speed was she walking?
Answer:
7.5 speed
Step-by-step explanation:
because there are 4 corner in a garden so we will divide 30 min ÷4
The independent variable of interest in an ANOVA procedure is called a a. partition. b. factor. c. treatment. d. response.
Answer:
Option b (factor) is the correct choice.
Step-by-step explanation:
ANOVA would be used to assess whenever there were other statistically representative variations seen between results of two or even more individual (totally unconnected) categories.
Two different kinds of independent variables exist such as:
ActiveReferenceIf the explanatory variables are such an effective variable otherwise we modify the argument of the variable to test its effect on something like a specific parameter.
Certain solutions don't apply to the specified scenario. So choice B was its perfect method for that.
2.123x10^3 I need help fast
Answer:
2123
Step-by-step explanation:
10^3 is the same as 1000. 2.123 times 1000 is 2123
write the equation of the line in slope intercept form that passes through (10,21) and (15,36)
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(36 - 21) / (15 - 10)
15/5
= 3
Next, plug the slope and a point into the equation y = mx + b to find b (y-int)
y = mx + b
21 = 3(10) + b
21 = 30 + b
-9 = b
Then, plug this into the equation, as well as the slope:
y = 3x - 9
Solve for m c = amt must be one term
4. Order the numbers from least to greatest.
√5, 5, 2.5. Ja
Answer:
√5 < 2.5 < 5
Step-by-step explanation:
√5= 2.23
therefore,
√5 < 2.5 < 5
plzz help me and explain
Answer:
the area is: 90 square inches
Step-by-step explanation:
Since you use the same amount of material to create the rectangle, that means that the area of a parallelogram has the same formula as the area of a rectangle. That is:
Area of parallelogram = base x height
In our case: 9 in x 10 in = 90 square inches
A trader bought 60 article for N25000 and sold them at N6000 per dozen.
(i) find the total profit
(ii) find the percentage profit
(c) Find the principal which amounts to N2736 in 3 1/2 years at 4% simple interest
Step-by-step explanation:
N6000×5=N30000
1)N30000-N25000=N5000
2)N5000÷N25000×100℅=20℅
Metro buses are scheduled to arrive at each stop every 30 minutes. If the time a person waits at a bus stop is uniformly distributed and the maximum possible wait time for a bus is 30 minutes, what is the probability that you will wait more than 25 minutes for a bus
Answer:
The probability is [tex]P(X > 25 ) = 1.667[/tex]
Step-by-step explanation:
From the question we are told that
The maximum wait is [tex]b = 30 \ minutes[/tex]
The minimum wait would be [tex]a = 0\ minutes[/tex]
Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as
[tex]P(X > 25 )[/tex]
Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as
[tex]P(X > 25 ) = P(25 < X < 30 ) = \frac{30 - 25}{30 - 0}[/tex]
[tex]P(X > 25 ) = 1.667[/tex]
use pythagorean theorem to find the length of the hypotenuse in the triangle shown below 11 and 60
Answer: The value of the hypotenuse is 61.
Step-by-step explanation:
So we are given a triangle with two known sides; two legs with values of 11 and 60. We have to use the Pythagorean Theorem to find the value of the hypotenuse.
The Pythagorean Theorem states that, "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
This means that:
a^2 + b^2 = c^2
leg^2 + leg^2 = hypotenuse^2
So just by looking at that, we know that we can just substitute the values in:
11^2 + 60^2 = x^2
121 + 3600 = 3721
sqrt of 3721 = 61
So the hypotenuse value is 61.
A......... divides a two-dimensional shape into two congruent shapes
Answer:
A diagonal
Step-by-step explanation:
HELP!!!!! What is the slope of a line with the equation 3x+7?
Answer:
m=3
Step-by-step explanation:
The equation of the line is in slope-intercept form, or:
y=mx+b
where m is the slope and b is the y-intercept. The slope is multiplied by x and the y-intercept is added or subtracted from that.
The equation of the line is:
y=3x+7
3 and x are being multiplied, therefore 3 is the slope. 7 is added to 3x, therefore 7 is the y-intercept.
The slope is 3, or 3/1. Therefore, on a graph, the line will rise 3 up, then run 1 to the right.
The slope of the line is 3.
71 x 103 in scientifc notation
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
7.313×10^3
Step-by-step explanation:
Find the equation of the line that goes through (2,9) and (-1,5) in point-slope form
Answer:
y-9=4/3(x-2)
Step-by-step explanation:
First, find your slope:
The formula for finding slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Our coordinate point for our x₁ and y₁ values will be (2,9) and our coordinate point for our x₂ and y₂ values will be (-1,5). Now, let's plug those into our formula:
[tex]m=\frac{5-9}{-1-2}=\frac{-4}{-3}=\frac{4}{3}[/tex]
Your slope is 4/3.
Next, plug in your x₁ and y₁ values in for point-slope form. The equation in variable form is "y-y₁=m(x-x₁)". So, plugging in our point (2,9) for x₁ and y₁, we get:
y-9=4/3(x-2)
Jayden uses the net below to design a box. A net with 4 rectangles and 2 squares. The rectangles measure 6 feet by 4 feet and the squares have side lengths of 4 feet. How much cardboard will Jayden need to make the box? A. 60 ft2 B. 96 ft2 C. 128 ft2 D. 144 ft2
Answer:
C .128 ft²
Step-by-step explanation:
net with 4 rectangles and 2 squares.
The rectangles measure 6 feet by 4
Area of the rectangle=6*4
Area of the rectangle= 24.ft²
Total area of the rectangle= 4*24.
Total area of the rectangle= 96 ft²
the squares have side lengths of 4 feet.
Area of tge square= 4²
Area of the square= 16ft²
Total area of the square= 16*2
Total area of the square= 32 ft²
Total area of the cardboard needed
= Area of square + Are of rectangle
= 32+96
= 128 ft²
Please help
What is the value of k?
Answer:
30°
Step-by-step explanation:
k and 30° are vertical angles
Therefore, k = 30°
Which sequence is geometric?
1, 5, 9, 13,
2. 6, 8, 10,
5, 7, 9, 11,
ОО
4. 3. 16. 32
what is 7(3x+5y) simplify .
Answer:
21x +35y
Step-by-step explanation:
7(3x+5y)
Distribute
21x +35y
Answer:
7(3x + 5y) = 0 (3x * 7 + 5y * 7) = 0 (21x + 35y) = 0 Solving 21x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms ...
Step-by-step explanation:
Translate into a variable expression.
fifteen more than one-half of the square of z
Answer:
15 +(1/2)X z²
this is your expression plz brainlist me and follow me
A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service. How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
This question is incomplete, the complete question is;
A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service.
The drive-up service will have three tellers and a single waiting line. At another branch of the bank in a similar setting, the average service time for drive-up tellers is four minutes per customer, and average arrival rate is 36 customers per hour. It is expected that the new bank will have similar characteristics.
How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars?
Answer:
Eleven (11) spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
Step-by-step explanation:
Given that:
the average service time for drive-up tellers is four (4) minutes per customer at each branch
Average number of customers per hour is 36
Therefore for 36 customers,
the branch can give ( 36 / 4 ) = 9, mins each customer
from the question, there is a probability of 96%
so we will calculate on the 9 as mentioned above
96% of 9 = 0.96
0.96 × 9= 8.64
If there are 3 tellers in a single line- , then
8.64 + 3 = 11.64 approximately 11
Therefore Eleven (11) spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
Which of the following is NOT a formula for determining complementary probability? O Ploutcome) = 1- P(-outcome) O P(outcome) - P(-outcome) = 1 O P(outcome) + P(-outcome) =1 O P(-outcome) = 1 - P(outcome)
Answer:
P(outcome) - P(-outcome) = 1
Step-by-step explanation:
Given
Let the complementary probabilities be represented with P(outcome) and P(-outcome)
Required
Determine which of the options do not show complementary probabilities
In probability, complementary probability sums up to 1
i.e.
[tex]P(outcome) + P(-outcome) = 1[/tex]
Hence option C is correct
Make P(outcome) the subject of formula
[tex]P(outcome) = 1 - P(-outcome)[/tex]
Hence, option A is correct
Make P(-outcome) the subject of formula
[tex]P(-outcome) = 1 - P(outcome)[/tex]
Hence, option D is correct
So, from the list of given options,
[tex]P(outcome) - P(-outcome) = 1[/tex] is incorrect
A certain factory produces and sells 800080008000 cars per month, making a monthly net profit of PPP dollars. They sell each car for nnn dollars and it costs them ccc dollars to produce a single car. Write an equation that relates PPP, nnn, and ccc.
Answer:
P = 8000*(n -c)
Step-by-step explanation:
Profit is the difference between cost and selling price.
For 8000 cars produced per month, the profit will be:
P = 8000*(n -c)If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
Ya
f(x) = g(x)
-3x+4 = g(x) ... f(x) replaced with -3x+4
-3x+4 = 2 .... g(x) replaced with 2
-3x+4-4 = 2-4 .... subtract 4 from both sides
-3x = -2
-3x/(-3) = -2/(-3) .... divide both sides by -3
x = 2/3
Answer: 2/3There are 4 roses in a vase of 13 flowers the rest are daisies what is the ratio of all flowers in the vase to daises
Answer:
The ratio is 13:9
Step-by-step explanation:
Since the rest of the flowers in the vase are daisies, subtract the 4 roses from the 13 flowers. 13 - 4 = 9
There will be 9 daisies in the vase in total. Then they are asking for you to put the ratio of the total flowers to the daisies.
Total Flower = 13
Daisies = 9
The ratio would be 13 to 9.
The ratio of all flowers in the vase to daises is [tex]13:9[/tex]
Let the flowers be F.Let the daisies be D.Given the following data:
Number of roses = 4 rosesNumber of flowers = 13 flowersTo determine the ratio of all flowers in the vase to daises:
First of all, we would solve for the number of daisies in the vase of flowers.
[tex]Number\;of\;daisies = 13-4[/tex]
Number of daisies = 9 daisies.
Now, we can find the ratio of all flowers in the vase to daises:
[tex]Ratio = F:D\\\\Ratio = 13:9[/tex]
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