(a) Probabilities for number of passengers traveling to and from Toledo Airport: 80: 0.5, 100: 0.35, 400: 0.05, 450: 0.1.
(b) The likelihood of a flight being an international flight is 15 out of 100 or 0.15.
(a) To find the probability distribution for the number of traveling passengers, we need to find the total number of passengers traveling to and from Toledo Airport. Let X be the number of passengers.
From Toledo to Orlando: 500 flights * 80 passengers = 40,000 passengers
From Orlando to Toledo: 350 flights * 100 passengers = 35,000 passengers
From Toledo to Paris: 50 flights * 400 passengers = 20,000 passengers
From Paris to Toledo: 100 flights * 450 passengers = 45,000 passengers
Total passengers = 40,000 + 35,000 + 20,000 + 45,000 = 140,000 passengers
The probability distribution for the number of traveling passengers is:
X = 80: 500/1000 = 0.5
X = 100: 350/1000 = 0.35
X = 400: 50/1000 = 0.05
X = 450: 100/1000 = 0.1
(b) To find the probability that the flight is an international flight, we need to find the proportion of flights that travel to or from Paris.
Total flights = 500 + 350 + 50 + 100 = 1000 flights
The proportion of international flights is:
(50 + 100) / 1000 = 0.15
Therefore, the probability that a flight is an international flight is 0.15.
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Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $I for soda. Yesterday she sold 70 items altogether and lEarned $100. How much candy did she sell? How much soda?
Answer: 15 candies and 55 sodas
Step-by-step explanation: C = candies , S = sodas
3c +1s = $100
total candies + total sodas = 70
subtract
3c -c = 100-70
2c = 30
c = 30/2 ...meaning 15 candies were sold
sodas = 70-15.... meaning 55 sodas were sold
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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In a newspaper, it was reported that yearly robberies in Springfield were down 40% to 126 in 2013 from 2012. How many robberies were there in Springfield in 2012?
Answer:
210
Step-by-step explanation:
210-40% is 126
A fair coin is tossed five times. What is the theoretical probability that the coin lands on the same side every time?
A) 0.1
B) 0.5
C) 0.03125
D) 0.0625
Answer:
d
Step-by-step explanation:
the theoretical probability that the coin lands on the same side every time is 0.0625.
What is Probability?
The area of mathematics known as probability is concerned with how random events turn out. The definition of probability is chance or potential for a result. It clarifies the likelihood of a specific occurrence. We regularly use words like - 'It will probably rain today, 'he will probably pass the test', 'there is very less possibility of receiving a storm tonight', and 'most certainly the price of onion will go high again. In essence, probability is the forecasting of an outcome that is either based on the analysis of past data or the variety and quantity of alternative outcomes.
The theoretical probability of getting the same side every time in five coin tosses is:
Since the coin has two sides, there are 2^5 = 32 possible outcomes in total. Out of these outcomes, there are only two ways to get the same side every time (either all heads or all tails). Therefore, the probability of getting the same side every time is:
P(E) = favorable outcomes / total outcomes
= 2/32
= 1/16 = 0.0625 or 6.25%
So, the theoretical probability of getting the same side every time in five coin tosses is 0.0625 or 6.25%.
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(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
6 to the 3rd power ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
HELP
Answer:
6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)
6 to the 3rd power ÷ 4 + 2 ×9(256-68)
6 to the 3rd power ÷ 4 + 2 ×9×188
216 ÷ 4 + 2 × 1692
216 ÷ 4 + 3384
54 + 3384
=3438
Use a calculator to find the trigonometric ratio. Round your answer to four decimal places
sin 98°~
Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.
How to Find the Trigonometric Ratio?One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.
Using a calculator, we can find the sine of 98 degrees as follows:
sin 98° ≈ 0.9848
Rounding this to four decimal places, we get:
sin 98° ≈ 0.9848
Therefore, sin 98° is approximately equal to 0.9848.
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can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!
Answer:
A, graph 4, S(0, 9)B, graph 3, R(9, 0)C, graph 1, P(3, 9)D, graph 2, Q(-3, 0)Step-by-step explanation:
You want to identify the graphs that go with each of these functions, along with a particular point on the curve.
y = x² +3x +9y = (x +3)(x -9)y = (x -3)² +9y = -(x -9)(x +3)Quadratic features of interestThe equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.
In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.
Standard formThe line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.
The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).
Factored formEquation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).
Vertex formThe vertex form of a quadratic is ...
y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'
Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).
Leading coefficientEquation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).
<95141404393>
1/2 of 4/3 = 1/2 of ______thirds =______ thirds
Answer:
four, two
Step-by-step explanation:
1/2 of 4/3 is half of four thirds. Half of four is two, so it would be two thirds
I hope this helps! :)
5: The US Postal Service believes less than 13% of the packages mailed during the
holiday rush are delivered late. To test this claim, it randomly selects 228 packages
during the holiday rush and finds that 24 are delivered late. Test the US Postal Service’s
claim at α = .01.
What type of error could be made based on your decision in step 5 of the above
hypothesis test?
There are two types of errors that could be made:
a Type I error and a Type II error.
We have,
In step 5 of the hypothesis test, we make a decision to either reject or fail to reject the null hypothesis.
If we reject the null hypothesis, there are two types of errors that could be made:
a Type I error and a Type II error.
A Type I error occurs when we reject a true null hypothesis.
In this context, it means that we conclude that the percentage of packages delivered late is greater than 13% when in reality it is not.
This error is also known as a false positive.
A Type II error occurs when we fail to reject a false null hypothesis.
In this context, it means that we conclude that the percentage of packages delivered late is less than or equal to 13% when in reality it is greater than 13%. This error is also known as a false negative.
The probability of making a Type I error is denoted by α, which is given in the problem statement as α = 0.01.
Therefore, if we reject the null hypothesis, there is a 1% chance that we are making a Type I error.
Thus,
The probability of making a Type II error depends on the effect size, sample size, and significance level of the test.
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Which of the following statements is true about the graph shown?
The equation y = 4.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (3, 13.5).
The graph is incorrect and the line should go through the point (4.5, 4.5).
The graph does not show a proportional relationship.
Answer:
B. The graph is incorrect and the line should go through the point (3, 13.5)
Step-by-step explanation:
The equation is y = 4.5x
y = the y-axis/dependent variable
x = the x-axis/independent variable
4.5 x 1 = 4.5
4.5 x 2 = 9
4.5 x 3 = 13.5
Therefore the written ordered pairs would look like this.
(1, 4.5)
(2, 9)
(3, 13.5)
In the graph, (3, 13.5) is graphed as (13.5, 3) making the graph incorrect.
The statement which is true about the graph shown is that: the graph is incorrect and the line should go through the point (3, 13.5).
How to interpret the graph?Generally speaking, the graph of any linear function is always modeled by a straight line and it indicates a proportional relationship because it starts from the origin (0, 0).
Mathematically, a proportional relationship can be represented or modeled by the following linear equation:
y = kx
Where:
k represents the constant of proportionality.x and y represents the data points, variables, or coordinates.At data point (4.5, 4.5), we have:
y = 4.5x
y = 4.5(4.5)
y = 20.25 (incorrect).
At data point (3, 13.5), we have:
y = 4.5x
y = 4.5(3)
y = 13.35 (correct).
Therefore, we can logically deduce that this graph is incorrect because its line didn't pass through the data point (3, 13.5).
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Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.
Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) Test Result Test Result Column Total Condition Present 105 24 129 Condition Absent 25 46 71
(a) P(+ condition present): this is known as the sensitivity of a test.
(b) P(- | condition present); this is known as the false-negative rate.
(c) Pcondition absent); this is known as the specificity of a test.
(d) P(+ | condition absent); this is known as the false-positive rate
(e) Prcondition present and +); this is the predictive value of the test
(f) P(condition present and-)
Answer:
a. 105/130
b. 25/130
c. 46/70
d. 24/70
e. 105/200
f. 25/200
Step-by-step explanation:
A.
P(+|condition present)
= Prob(+ and condition present)/condition present
= 105/130
B.
P(-|condition present)
= Prob(- and condition present)/condition present
= 25/130
C.
P(-|condition absent)
= Prob(- and condition absent)/condition absent
= 46/70
D.
P(+ | condition absent)
= Prob(+ and condition absent)/condition absent
= 24/70
E.
P(condition present and +)
= 105/200
F.
P(condition present and -)
= 25/200
The Distribution of Sample Means expresses the way in which sample means taken from a population and of a given sample size are distributed around the population mean.
a. True
b. False
Answer:
a. True
Step-by-step explanation:
This is because, since the sample mean equals the population means, the distribution of the sample means about the sample size would also be the distribution of the sample size distributed about the population mean.
This usually results in a normally distributed population for a sample size greater than 30.
So, if the sample size is greater than 30, the population mean and sample mean would have the same value and distribution.
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Anna spent $326 on
a new TV. She pays
$19.56 tax. What is
the sales tax rate?
Answer: Her sales tax rate is 6%.
Step-by-step explanation: Your welcome Mark Me Brainliest.
~"Gamer"~
What is the measure of
Angles are not necessarily drawn to scale.
I hate math
x= 139°
180-41= 139°
hope this helped:)
Which graph represents the function f(x) = -|x| − 3?
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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7Luis deposits $4000 into a savings account paying 6% annual interest: What is the monthly increase as a percent?A 0.5%B 0.612%© 2%D 7.2%
Since the savings account has a annual interest of 6%, in order to find the monthly increase, we just need to divide the annual interest by 12 (the number of months in a year)
So we have:
\(\frac{6\text{\%}}{12}=0.5\text{\%}\)So the monthly increase as a percent is 0.5%, therefore the correct option is A.
30
40
R
P
60°
What is the measure of ZPTQ?
120
S
140°
180°
120°
100°
Answer:
140°
Step-by-step explanation:
Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:
360 = 120 + 60 + 40 + ∠PTQ
360 = 220 + ∠PTQ
-220 -220
140 = ∠PTQ
∠PTQ = 140°
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Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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A car enters a highway driving 60 mph. A truck enters the highway 6 minutes later and drives 65 mph. The vehicles travel a total of 56 miles and arrive at the same time. How far did the car travel?
Answer:
65 or 60
Step-by-step explanation:
I am not really positive about my answers so please take this into consideration.
if teen romance had 20% in a circle graph and 4,000 books were signed out in the summer how many of them were teen romance
Answer:
800 Books were signed out
Step-by-step explanation:
20% of 4000 is 800
Hi there!
»»————- ★ ————-««
I believe your answer is:
800 books.
»»————- ★ ————-««
Here’s why:
As mentioned in the question, there are 4,000 books signed out during the summer.20% out of the 4,000 were teen romance books.⸻⸻⸻⸻
\(\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}\)
⸻⸻⸻⸻
There should be 800 books that were teen romance.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?
Answer:
25%
Step-by-step explanation:
400 divided by 100 = .25 which is 25%
Cuáles son todos los factores de 30
Answer:
uno, dos, tres, cinco, seis, diez, quince, treinta
ENGLISH: 1, 2, 3, 5, 6, 10, 15, 30
-NULL
Brainliest will be appreciated thank you!
ways to select the 7 math help websites
Answer:
Step-by-step explanation:
If the order you select them is important
nmber of ways = 9! / (9-7)!
= (9*8*7*6*5*4*3*2*1) / (2*1)
= 9*8*7*6*5*4*3
= 181,440.
If the order does not matter:
nmber of ways = 9! / ((9-7)! * 7!)
= 9*8 / 2*1
= 36.
Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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A Scott road bicycle was origins $850 but is on sale $720. What is the percentage?
Answer:
15% off
explanation:
take 720-850= 130
then take 130/850= .1529...
then convert to percentage
15%
Step-by-step explanation:
^^
15%
Answer:
15% off is the answer I'm just typing stuff bc it has to be 20 letters