The number of gold won by Korea is 12
The number of gold won by Italy is 13
The number of gold won by France is 15
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of gold won by Korea = x
Number of gold won by Italy = x + 1
Number of gold won by France = x + 2
Now,
The total number of gold medals won by these three countries is three consecutive integers whose sum is 39.
This means,
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 39 - 3
3x = 36
x = 12
Thus,
Number of gold won by Korea = 12
Number of gold won by Italy = 13
Number of gold won by France = 15
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Write each monomial in standard form and name its coefficient.
The standard form of the monomial 2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x² is the monomial - (2 / 7) · a⁵ · x³. The coefficient es - 2 / 7.
How to simplify a monomial according to algebra properties
In this problem we find the case of a monomial that must be simplified into standard form, which can be rewritten in standard form by algebra properties. First, write the complete monomial:
2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x²
Second, use commutative and associative properties between similar expressions:
[2 · (1 / 3) · (- 3 / 7)] · (a² · a³) · (x · x²)
Third, use the definition of multiplication and power properties:
- (2 / 7) · a⁵ · x³
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seven cars need to pass across a bridge that is wide enough to allow four cars. in how many orders seven cars can form groups of four to pass across the bridge?
In order to cross the bridge, the seven cars can form groups of four to cross the bridge in 35 combinations.
The process of combination is used to calculate in how many ways seven cars can form groups of four in order to cross the bridge.
Combination formula is given by:
[tex]nCr = n!/ (n! * (n-r)!)[/tex]
The number of combinations of seven cars taken four at a time can be given by the equation:
C(7,4) = 7!/(4! * (7-4)!)
C(7.4) = 5040/(24*6) = 5040/144 = 35.
Therefore, the seven cars can cross the bridge in groups of four in 35 different combinations.
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how do I get the answer the problem 6÷8/9
Answer:
Below
Step-by-step explanation:
to DIVIDE by a fraction, flip the fraction and MULTIPLY
6 ÷ 8/9 = 6 x 9/8 = (6x9) / 8 = 54 / 8 = 6 3/4 or 6.75
please Solve for X
ASAP
PLEASE I NEED HELP RNNN!!!!!!!
multiply the numbers
The area of a triangle with the given base and height is 9.5625 square inches.
What is the area of a triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
From the given triangle, height is 2.5 inches.
By using Pythagoras theorem,
3²=x²+2.5²
9=x²+6.25
x²=9-6.25
x²=2.75
x=1.65 inches
So, the base = 6+1.65=7.65 inches
Area of a triangle = 1/2 ×7.65×2.5
= 0.5×7.65×2.5
= 9.5625 square inches.
Therefore, the area is 9.5625 square inches.
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A culture of bacteria has an initial population of 37000 bacteria and doubles every 2 hours. Using the formula P↓t=P↓0 ⋅2↑d/t, where P↓t is the population after t hours, P↓0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
The population of bacteria in the culture after 7 hours is 4,18,607 bacteria.
What is Exponential Function?Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
Given:
We have the function
[tex]P_t[/tex] = [tex]P_0[/tex][tex]2^{t/d[/tex]
We have [tex]P_0[/tex]= 37000
t= 7 hours
d= 2 hours
So, [tex]P_t[/tex] = 37000 x [tex]2^{7/2[/tex]
= 37000 x 11.313708499
= 4,18,607.21 bacteria.
Hence, the population is 4,18,607.21.
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Five cans of paint will cover 130 m2 of wall space. How many cans will be needed to cover 208 m2 of wall space?
There are 8 cans will be needed to cover 208 m² of wall space.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Five cans of paint will cover 130 m² of wall space.
Now, Number of cans to cover 208 m² of wall space is,
⇒ 5 × 208 / 130
⇒ 8
Thus, There are 8 cans will be needed to cover 208 m² of wall space.
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What is the slope of y=2/3x-2
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
y=mx+b
M=slope B=Y-intercept
After you multiply everything out in the box, then write your final answer below after you combine your like terms! (2x+5)(3x-4)
Answer:
[6x^2 + 7x - 20]
Step-by-step explanation:
(2x + 5)(3x - 4)
Utilize FOIL,
First
Outer
Inner
Last
2x * 3x = 6x^2
2x * -4 = -8x
5 * 3x = 15x
5 * -4 = -20
6x^2 - 8x + 15x - 20
Combine like terms:
[6x^2 + 7x - 20]
A
B
F
tc
E
D
Which are vertical angles?
O ZAFE and ZBFD
OZBFC and ZDFE
O ZAFE and ZCFD
O ZBFC and ZEFA
Based on the line segments, the vertical angles include the following: A. ZAFE and ZBFD.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
Since both line segment AB and line segment BE are interesting lines, we can reasonably infer and logically deduce that they are congruent and as such the magnitude of angle ZAFE is equal to angle ZBFD in accordance with the vertical angles theorem.
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If Figure A is R = 5 ft and Figure B is 2 ft and the Volume is 88 cu ft, so..
Whats the volume of Figure A?
Volume of figure A is 1375 cu ft
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given,
Figure A ~ Figure B
In Figure A R = 5.
In Figure B R = 2.
Scale factor between Figure A and Figure B = 5/2
Volume of B = 88 cu ft
πR²h = 88
π2²h = 88
h = 88/4π
h = 22/π
Height of figure A = 5/2×height of figure B
Volume of figure A
= πR²h
= π5²×5/2×22/π
= 125 × 11
= 1375 cu ft
Hence, 1375 cu ft is volume of figure A.
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the life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. refer to exhibit 6-6. what is the probability that a randomly selected tire will have a life of at least 47,500 miles? a. .4332 b. .9332 c. .0668 d. .1459
The probability that a randomly selected tire will have a life of at least 47,500 miles is 6.68%, which corresponds to answer choice c: .0668.
Probability is a mathematical concept that measures the likelihood or chance of an event occurring.It is a number between 0 and 1, with 0 designating an impossibility and 1 indicating a certainty. The probability of an event is calculated as the number of favorable outcomes divided by the number of possible outcomes.
The probability that a randomly selected tire will have a life of at least 47,500 miles can be found using a normal distribution and the z-score formula.
The z-score is calculated as follows:
z = (47,500 - 40,000) / 5,000 = 3.5
Using a standard normal table or calculator, we can find the cumulative probability associated with a z-score of 3.5. The probability that a randomly selected tire will have a life of at least 47,500 miles is:
P(X >= 47,500) = 1 - P(X < 47,500) = 1 - .9993 = .0007
Therefore, the answer is: c. .0668
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Algebraic part2
I'm struggling on this one.
An equation describing how x and y are related should be completed as y = [1/2]x + [-5].
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated by using point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-4) = (-5 - (-4))/(0 - (-2))(x - (-2))
y + 4 = -1/2(x + 2)
y = -x/2 - 1 - 5
y = -x/2 - 5
y = [1/2]x + [-5].
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tiana wants to purchase a keyboard at howards music store she has a coupon that states $150 off for each 500 spent what is the price of the keyboard with this coupon (before tax) keyboard costs 1,359.99
Answer: $59.99 or $60
Step-by-step explanation: Subtract 500 twice and 150 from each answers you get from subtracting 500 from 1359.99
1359.99-500-150= 709.99709.99-500-150=$59.99 or $60lcm x^3+27 and x^3-3x^2+9x
The LCM of the polynomials is x(x + 3)(x^2 - 3x + 9).
How to determine the LCMFrom the question, we have the following parameters that can be used in our computation:
x^3+27 and x^3-3x^2+9x
Let's factor the first polynomial, x^3 + 27:
x^3 + 27 = (x + 3)(x^2 - 3x + 9).
Let's factor the second polynomial, x^3 - 3x^2 + 9x:
x^3 - 3x^2 + 9x = x(x^2 - 3x + 9)
Using the above as a guide, we have the following:
The LCM of these two polynomials is
LCM = x(x + 3)(x^2 - 3x + 9).
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What are the domain and range of y=sec x? select one choice for domain and one for range.
The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.
What does "secant function" mean?Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.
What is the identity of the sec?1/cos(x) = sec(x) Cot (x) = 1/Tan (x)
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please solve the problem that isnt shown in the screen shot.
The surface area of the cylindrical gift box is 24πx² + 72xπ + 54π.
How to find the surface area of a cylinder?The radius of a cylindrical gift box is (2x + 3) inches. The height of the gift box is twice the radius.
Therefore, the surface area of the cylinder can be found as follows:
Hence,
surface area of the cylindrical gift box = 2πr(r + h)
where
r = radiush = heightTherefore,
r = 2x + 3
h = 2(2x + 3) = 4x + 6
Hence,
surface area of the cylindrical gift box = 2 × π × 2x + 3((2x + 3) + 4x + 6)
surface area of the cylindrical gift box = 2π(2x + 3)(6x + 9)
surface area of the cylindrical gift box = 2π(12x² + 18x + 18x + 27)
surface area of the cylindrical gift box = 2π(12x² + 36x + 27)
surface area of the cylindrical gift box = 24πx² + 72xπ + 54π
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What is the location of point E?
Please help!
Answer:
I don't understand ur question.
Step-by-step explanation:
Please there is no picture or complete
Do you think the line on the graph in problem 1 is a good one for this scatter plot? Explain your answer.
The line created is a good representation of a line of best fit
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that the line divides the points on the line evenly
A good line of best fit would have approximately equal number of points on either sides
Hence, the line is a good representation
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in a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company. question at position 6 6 2 points question at position 6 if a household is randomly selected, what is the probability that it gets at least one of these two services from the company, and what is the probability that it gets exactly one of these services from the company? show work for full credit. you can include a picture.
If 60% of household use internet service and 80% use television service , then the probability that at least one of these two services from the company is 90% .
the percent of house hold that use internet service from company is = P(I) = 60% ;
the percent of house hold that use television service from the company is = P(T) = 80% ;
the percent of house hold that use both the services= P(I & T) = 50% ;
So , the probability that at least one of these two services from the company is calculated as : P(I or T) = P(I) + P(T) - P(I&T)
⇒ P(I or T)= 60 + 80 - 50 ;
⇒ P(I or T)= 90% .
Therefore , the required probability is 90% .
The given question is incomplete , the complete question is
In a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company.
What is the probability that it gets at least one of these two services from the company ?
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a ______ is a way to organize qualitative data into categories and record the number of observations in each category.
Frequency distribution is a way to organize qualitative data into categories and record the number of observations in each category.
Differentiate between frequency distribution and relative frequency ?
A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.
One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.
Define relative frequency distribution
A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.
what is qualitative data ?
Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.
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an important quality characteristic to the manufacturing of telephones is the no. of surface defects. currently, the process is operating with an average defect rate of 3 per telephone unit. what's the probability of finding one or less surface defects at a randomly selected unit.
Theprobability of discovering one or fewer surface flaws in a randomly chosen unit is 0.35.
Let X shows the number of surface defects at a randomly selected unit. Here X has Poisson distribution with parameters [tex]\lambda[/tex] =3. So the probablity of finding one or less surface defects at a randomly selected unit is
[tex]P(X\leq 1)=\frac{e^{-3}(3)^{0}}{0!}+\frac{e^{-3}(3)^{1}}{1!}=0.199[/tex]
Hence, the required probability is 0.199.
The probability of finding more than 3 defects at a randomly selected unit is
[tex]P(X > 3)=1-P(X\leq 3)=0.35[/tex]
Therefore, the probability of discovering one or fewer surface flaws at a randomly chosen unit is 0.35.
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Fill in the blanks: When you are adding integers with different signs, ____________ the numbers and keep the sign of the _____________ number. Responses subtract; smallest subtract; smallest add; largest add; largest subtract; largest subtract; largest add; smallest add; smallest
Answer: subtract , largest
Step-by-step explanation:
you keep the largest number, because it is the largest number there
The bar graph shows the number of floral arrangement sales each day for one week. What percent of the sales were on Friday or Saturday? Round to the nearest hundredth of a percent.
The percent of sales happened on Friday and Saturday are respectively, 26.3% & 31.6%
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The bar graph,
In which, Horizontal digits are representing number of shirts,
And vertical component is representing week days
The number of shirts sold on Friday = 50
The number of shirts sold on Saturday = 60
Percentage of sales on Friday = ?
Percentage of sales on Saturday = ?
Total sales = Monday + Tuesday + Wednesday + Thursday + Friday + Saturday
= 15+ 10 + 20 + 35 + 50 + 60
= 190
Percentage of sales on Friday = (50/190)x100
= 26.300 %
Percentage of sales on Saturday = (60/190)x100
= 31.600 %
Therefore, the percentage on Friday and Saturday are respectively, 26.3% & 31.6%
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Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
The true statement about the likelihood of occurrence based on probabilities is; D: Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
How to solve Probability problems?The probabilities of Players 1, 2 and 3 are;
P(player 1) = 7/11 = 0.636
P(player 2) = 6/9 = 0.667
P(player 3) = 5/7 = 0.714
The most likely batting average will be the player with the highest probability. the player with the highest probability from the above is player 3 with a probability of 0.714.
The true statement about the probability when the softball players discussed their batting averages after a game is Player 3 is more likely to hit the ball than Player 2 because P (Player 3) > P (Player 2).
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please help me with this question
Answer:
angle 4 is 44°
Step-by-step explanation:
180-93=87 (straight line)
180-49-84=44 (triangle)
Please I need this my teacher is going to kill me if I don’t have this done what are the correct answers from the first one to the last one use both pages
Answer:
Step-by-step explanation: flew down
you have been cruising at fl 230, and you forget to set your altimeter to the local altimeter setting during your descent. if field elevation is 303 feet and the altimeter setting is 30.02, what will your altimeter indicate after landing?
The altimeter will indicate a reading of 22,697 feet.
Standard deviation is a measure of variability in a dataset. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. This measure indicates how much variation exists in a dataset.
If you are at an altitude of Flight Level 230 (23,000 feet) and forget to set your altimeter to the local altimeter setting during descent, your altimeter will indicate different readings depending on the field elevation and the local altimeter setting.
To calculate the difference between the two, we use the standard deviation formula. Specifically, we calculate the difference between the local altimeter setting and the field elevation, and subtract that difference from the Flight Level. The standard deviation formula then looks like this:
Flight Level - (Local Altimeter Setting - Field Elevation)
In our example, the equation would look like this:
23,000 - (30.02 - 303) = 22,697
It is important to note that when making such calculations, the Flight Level should always be expressed in feet, rather than in thousands of feet.
By using the standard deviation formula and keeping track of settings like local altimeter setting and field elevation, pilots can ensure that their altimeter readings are accurate and that their aircraft will land safely
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a set of data is found to have a sample variance of 81. suppose that 16 is added to each of the numbers in the data set. circle the standard deviation of the new data set?
a. 4
b. 9
c. 13
d. 81
e. 97
The required standard deviation of the new data set is 9.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
According to question:When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.
However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.
So, the standard deviation of the new data set is 9.
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define data analytics and explain how a university might use its techniques to recruit and attract potential students.
The Data Analytics is defined below and the the techniques that university can use to recruit are Identify and target potential students , Evaluate the effectiveness of recruitment strategies .
The Data analytics is defined as the process of examining, cleaning, transforming, and modeling data to discover useful information, gain insights, and support decision-making.
A University might use data analytics techniques to recruit and attract potential students in several ways which are :
(i) Identify and target potential students :
By analyzing data from various sources, such as high school records, standardized test scores, and student behavior patterns, the university can identify students who are most likely to be interested in attending.
(ii) Evaluate the effectiveness of recruitment strategies :
By analyzing data on the response rates, conversion rates, and enrollment rates of students, the university can evaluate the effectiveness of its recruitment strategies and make decisions to improve future recruitment efforts.
(iii) Monitor student engagement:
By tracking and analyzing the student engagement data, the university can identify which students are most likely to enroll and stay enrolled.
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