Answer:
a) To find out how much money is added to the account each year, we use the simple interest formula: I = Prt, where I is the interest, P is the principal (initial deposit), r is the annual interest rate (expressed as a decimal), and t is the number of years.
In this case, P = 1800, r = 0.03, and t = 1 (because we are finding the interest added for 1 year)
So the formula becomes:
I = 1800 * 0.03 * 1 = 54
Therefore, £54 is added to the account each year.
b) To find out how much money will be in the account after two years, we add the original deposit to the total interest earned over two years.
We know that the interest added each year is £54, and since we are trying to find the balance after 2 years, we will multiply it by 2 to find the total interest earned over 2 years:
Interest = 54 * 2 = £108
Now we add the original deposit and the total interest to find the total amount in the account after 2 years:
Total = 1800 + 108 = £1908
So the amount of money in the account after two years will be £1908.
The account will have £1909.62 after two years.
What is simple interest?Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
a) The amount of money added to the account each year is determined by multiplying the principal amount (initial amount) by the interest rate. So, the amount added to the account each year is:
Interest = Principal x Rate
Interest = £1800 x 0.03
Interest = £54
Therefore, £54 will be added to the account each year.
b) To find the amount of money in the account after two years, we need to add the interest earned in each year to the principal amount. After one year, the account will have:
Amount after 1 year = £1800 + £54 = £1854
After the second year, the account will have earned another 3% interest on the new balance of £1854. So, the interest earned in the second year is:
Interest = £1854 x 0.03
Interest = £55.62
Therefore, the total amount of money in the account after two years is:
Amount after 2 years = £1854 + £55.62 = £1909.62
So, the account will have £1909.62 after two years.
Learn more bout simple interests here:
https://brainly.com/question/22621039
#SPJ2
color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation. how many different colorings can be made?
There are 8 different colorings that can be made.
Color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation.
The number of colorings can be calculated by using the equation 2^6 = 64. This is because each of the six faces of the cube can be colored either blue or red, giving two options for each face.
As there are six faces, the total number of colorings is 2^6 = 64. However, some of these colorings are the same after a rotation, so the total number of distinct colorings is 8.
For more questions like Cube face click the link below:
https://brainly.com/question/29115280
#SPJ4
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.
Using the provided condition and values, This is solved using the concept of word problem, The answer is Polly gets £30, Andy gets £60 and Phoebe gets £180.
What is word problem?A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.
What do you mean by mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.
Let x be the amount that Polly gets.
Andy would get 2x and Phoebe would get 3(2x) = 6x
So the total amount would be x + 2x + 6x = 9x
Therefore, x + 2x + 6x = £270
9x = £270
x = £30
So Polly gets £30, Andy gets £60 and Phoebe gets £180.
To learn more about expressions visit:
https://brainly.com/question/14083225
#SPJ1
If X and Y are independent random variables then the conditional distribution of Y given X is just the marginal distribution of Y. T/F
Suppose X and Y are two random variables that have the same distribution. Does
P[X≤ t∣ Y=a]
be necessarily equal to
P[Y≤ t∣ X=a]?
Note that if X and Y are bivariate normal with correlation ρ and each is marginally N(μ,σ2), then it is necessarily true because both conditional distributions would be
N(μ+ρ(a−μ),(1−ρ2)σ2).
A simple counter example:
P(X=1,Y=2)=13P(X=2,Y=3)=13P(X=3,Y=1)=13
Then P(X≤1|Y=2)=1, but P(Y≤1|X=2)=0.
Because it is interesting to look at the general pattern.
The wanted property is a kind of symmetry,
so we should look for some asymmetrical joint distribution for X,Y).
Si if (X,Y) has a permutable distribution in the sense that (X,Y) and (Y,X) have the same distribution,
so that for the joint cumulative we have F(x ,y)=F(y ,x) for all (x ,y), then the sought-after property will hold.
Let us use copulas. Let F be the joint CDF (cumulative distribution function) and
C(u ,v)=P(F(x)≤ u ,F(Y)≤v)
By the Fréchet– Hoefdding copula bounds (see linked wiki article above) we have
W(u ,v)≤C(u ,v)≤M(u ,v)
where W(u ,v)=max(u+v−1,0) and M(u ,v)=min(u ,v). Both W,M are copulas. W describes the anti-monotonic case X=U,Y…
Not necessarily true. Let X and Y be discrete random variables that take the values in {1, 2, 3} each with probability 13;
i.e. they have a discrete uniform distribution. Consider the joint probability mass function represented by the matrix below where the element in row i and column j is P[X=i , Y=j]:
160⎡⎣⎢331461221154⎤⎦⎥
Note that all rows and columns add up to 13 and therefore the marginal distributions are the discrete uniform as stated. Now calculate the conditional probability
P[X≤2∣Y=1]=360+360360+360+1460=310.
On the other hand,
P[Y≤2∣X=1]=360+660360+660+1160=920.
To know more about distribution function visit brainly.com/question/29974513
#SPJ4
At a local play, student tickets cost $5 each and adult tickets cost $10 each. if ticket sales were $3,000 for 500 tickets, how many students attended the play?
a. 100
b. 200
c. 300
d. 400
Answer:
To solve this problem, we can use algebra. Let x be the number of student tickets sold and y be the number of adult tickets sold. We know that:
x + y = 500 (the total number of tickets sold)
5x + 10y = 3000 (the total revenue from ticket sales)
We can use the first equation to solve for one of the variables in terms of the other. For example, we can use the first equation to solve for y in terms of x:
y = 500 - x
Now we can substitute this expression for y into the second equation:
5x + 10(500 - x) = 3000
5x + 5000 - 10x = 3000
-5x = -2000
x = 400
So, the number of student tickets sold is 400. The answer is d) 400
Total 400 students attended the play.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that student tickets cost $5 each and adult tickets cost $10 each. The total ticket sales were $3,000 for 500 tickets.
We can write the system of equations as -
5x + 10y = 3000
x + y = 500
Now -
x = 500 - y
So -
5(500 - y) + 10y = 3000
2500 - 5y + 10y = 3000
5y = 500
y = 100
x = 400
Therefore, total 400 students attended the play.
To solve more questions on functions, visit the link-
https://brainly.com/question/29014197
#SPJ5
mark draws one card from a standard deck of 52. he receives $0.45 for a diamond and $0.60 for a queen, but $0.80 for the queen of diamonds. how much could he pay to play this game per draw if he expects to break even in the long run?
His pay to play this game per draw is $0.1413
How can we interpret probability?0.015 of an event is a measurement of how likely an event can occur as an outcome of a random experiment.
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.
Given;
Money mark recieves for diamond=$0.45
Money mark recieves for queen=$0.60
Money mark recieves for queen of diamonds=$0.80
Now,
Probability of getting a diamond = 13/52
Price of one heart =$0.45
Pay for one heart = 13/52×0.45=$0.1125
Probability of getting a queen =4/52
Price of one queen =$0.60
Pay for one queen =4/52×$0.60=$0.0115
Probability of getting a queen of diamonds =1/52
Price of one queen =$0.80
Pay for one queen =1/52×$0.80=$0.015
Total pay for one draw= $0.1125+$0.0115+$0.0173=$0.015
=0.1413
Therefore, the pay per draw by probability will be $0.1413
Learn more about interpretation of probability here:
https://brainly.com/question/23024246
#SPJ1
Calculate the length of edge AD in the triangle-based pyramid below.
Give your answer to 2 d.p.
The length of AD is 70.26.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
ΔBCD
Tan 33 = BC/BD
0.65 = 37/BD
BD = 37/0.65
BD = 56.92
Now,
ΔABD
Sin 54 = BD/AD
0.81 = 56.92/AD
AD = 56.91/0.81
AD = 70.26
Thus,
The length of AD is 70.26.
Learn more about pyramid here:
https://brainly.com/question/17615619
#SPJ2
an airplane flew from an island and back to the mainland. the trip to the island took five hours and the trip back took four hours. The plane averaged 460 miles per hour. what was the average speed of the trip to the island?
what number represents an area receiving several weeks (to months) of constant daylight during their summer?
The number that represents an area receiving several weeks (to months) of constant daylight during their summer is 10.
The number 10 is typically found at latitudes above the Arctic Circle (about 66.5 degrees North) during the summer solstice, the longest day of the year.
During the summer solstice, the tilt of the Earth's axis is such that the North Pole is tilted towards the sun, providing more direct sunlight to areas within the Arctic Circle. This results in several weeks to months of constant daylight, known as the "midnight sun."
On the other hand, areas south of the Antarctic Circle, which is located at about 66.5 degrees South latitude, experience "polar night" or 24-hour darkness during the winter solstice.
To know more on Arctic circle
https://brainly.com/question/13048208
#SPJ4
Write the next three terms of the geometric sequence. 81, - 27, 9, - 3
The next 3 terms of the given geometric sequence are:
... 1, -1/3, 1/9
How to find the next three terms of the geometric sequence?
A geometric sequence is a sequence where to get the next term, we need to multiply the previous term by a constant number.
Such that the general recursive formula is:
Aₙ = k*Aₙ₋₁
By using the two first terms:
81 and -27, we can find the value of k.
-27 = k*81
-27/81 = k
-1/3 = k
Now, to get the next 3 terms we can use the recursive formula:
A₅ = -3*(-1/3) = 1
A₆ = (-1/3)*1 = -1/3
A₇ = (-1/3)*(-1/3) = 1/9
Learn more about geometric sequences at:
https://brainly.com/question/24643676
#SPJ1
How would the dx2−y2 orbital in the n=5 shell compare to the dx2−y2 orbital in the n=3 subshell?
a) The contour of the orbital would extend further out along the x and y axes.
b) The value of ℓ would increase by 2.
c) The radial probability function would include two more nodes.
d)The orientation of the orbital would be rotated 45∘ along the xy plane.
e) The mℓ value would be the same.
**Which statements above are correct?
A. The contour of the orbital would extend further out along the x and y axes and the mℓ value would be the same.
The dx2−y2 orbital in the n=5 shell will have a higher principal quantum number (n=5) than the dx2−y2 orbital in the n=3 subshell (n=3). This means that the contour of the orbital in the n=5 shell will extend further along the x and y axes, as the orbital size increases with increasing n.
However, the mℓ value will remain the same, as the angular momentum quantum number (ℓ) remains constant at two and mℓ can only take values between -ℓ and +ℓ.
The value of ℓ will not increase by two, as stated in option B, and the radial probability function will not include two more nodes, as stated in option C. Furthermore, the orientation of the orbital will not be rotated 45∘ along the xy plane, as stated in option D.
For more questions like Orbital click the link below:
https://brainly.com/question/18914648
#SPJ4
a researcher is 95% confident that the interval from 2.9 minutes to 6.83 minutes captures mu the true mean amount of time mice take to complete a maze for a piece of cheese. is it plausible that the true mean number of times for all mice to complete this maze may be less than 7 minutes?
The correct option is option a) Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes.
A confidence interval is a range of values, derived from a sample of data, that is used to estimate an unknown population parameter. The interval has an associated confidence level, such as 90%, 95%, or 99%, which indicates the level of confidence that the interval contains the true population parameter.
The most commonly used method to calculate a confidence interval is the method of maximum likelihood estimation. The wider the interval, the less certain the estimate, and the narrower the interval, the more certain the estimate.
It is plausible that the true mean number of times for all mice to complete the maze may be less than 7 minutes, as the interval provided by the researcher (2.9 minutes to 6.83 minutes) does not include 7 minutes as an upper bound.
A 95% confidence interval indicates that if the study were to be repeated multiple times, 95% of the intervals created would contain the true mean, so there is a 5% chance that the true mean falls outside of the interval provided.
Therefore, The correct option is option a) Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes.
To know more about confidence intervals refer to:
brainly.com/question/24131141
#SPJ4
Answer:Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes
Step-by-step explanation:
i took the quiz
Use the diagram below to find x.
Then, find the angle measures.
(x-6)⁰
2x
The sum of the angles equals 540
How to find the value of the angle?There are 3 angles that measure (x - 6) and 2 angles that measure (x)
We should know that the question address a pentagon
3(x - 6) + 2(x) = 540
Simplify the equation
3x - 18 + 2x = 540
Collecting the like terms to have
5x - 18 = 540
5x = 598
Making x the subject of the relation we have
x = 120⁰
Bu substitution, put x in the value x-6 to have the value of the angle
x - 6 = 120 - 6 = 114
Conclusively, the value of x = 114
Learn more about angles on https://brainly.com/question/28451077
#SPJ1
This is the question
The equation of the tangent line at x = 4 is:
y = 179*x - 490
(your teacher or the person who wrote this problem made a mistake somewhere, as none of the options is near correct)
How to find the equation of the tangent line?We have:
f(x) = 4x³ - 2x² + 3x - 10
When x = 4 we have:
f(4) = 4*4³ - 2*4² + 3*4 - 10 = 226
So we want a line tangent to the curve at the point (4, 226)
To find the slope of that line, we need to evaluate the derivative of f(x) in x = 4.
The derivative is:
f'(x) = 3*4x² - 2*2x + 3
f'(x) = 12x² - 4x + 3
Then the slope is:
f'(4) = 12*4² - 4*4 + 3 = 179
Then the tangent line is something like:
y = 179*x + b
To find the value of b, we replace the values of the point (4, 226)
226 = 179*4 + b
226 - 179*4 = b = -490
The line is:
y = 179*x - 490
Notice that this is not in the options, meaning that the problem (or the options) are written incorrectly.
Learn more about tangent lines at:
https://brainly.com/question/30162650
#SPJ1
Work out the volume and surface area of each prism:
The volumes of the prisms are 12 cm³, 135 cm³ and 1200 cm³
What are prisms?A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
Given are prisms, We need to find their volumes,
Volume of a prism = 1/2 × area of the base × height
1) Area of the base = 1/2 × 3 × 4 = 6 cm²
Height = 4 cm
Volume = 1/2 × 4 × 6 = 12 cm³
2) Area of the base = 1/2 × 5 × 12 = 30 cm²
Height = 9 cm
Volume = 1/2 × 9 × 30 = 135 cm³
3) Area of the base = 1/2 × 15 × 16 = 120 cm²
Height = 20 cm
Volume = 1/2 × 20 × 120 = 1200 cm³
Hence, the volumes are 12 cm³, 135 cm³ and 1200 cm³
Learn more about prisms, click;
https://brainly.com/question/29722724
#SPJ1
Tell the maximum number of zeros that the polynomial function may have. T f(x)=4x^9+5x^8+4x^6+9x+1
Answer: the maximum number of zeros that the polynomial function
f(x)= 4x^9+5x^8+4x^6+9x+1 is 9
Step-by-step explanation:
Firstly, it is important to rearrange the function in decreasing order. The function will now be f (x) = 4x^9+5x^8+4x^6+9x+1
Secondly, for finding the zeros, it is necessary to find the degree of the function. The maximum number of zeroes in a polynomial is the degree of the function. The degree of a function is the highest value of exponents in the function. Here, in this function, the degree is 9.
Lastly, the degree of the function is the number of zeroes. Since the degree is 9, the number of zeroes possible is also 9.
Convert $2525 US to Argentine peo uing the converion $0. 23364 US per 1 Argentine peo. Round your anwer to the nearet peo
The expression of $2525 US in Argentine peso is 5,788,660 peso, calculated using the conversion rate of $0.23364 US to 1 Argentine peso.
2525 US x 0.23364 Argentine peso = 5,888.85 Argentine peso
Rounded to the nearest peso = 5,788,660 Argentine peso
The conversion rate of US Dollars to Argentine Peso is $0.23364 US per 1 Argentine peso. This means that for every 1 Argentine peso, you would need to spend $0.23364 US. To calculate the equivalent amount of Argentine peso for $2525 US, we need to multiply $2525 US by 0.23364 Argentine peso. This gives us a total of 5,888.85 Argentine peso. However, when making monetary calculations, it is important to round the result to the nearest peso, so the equivalent of $2525 US in Argentine peso is 5,788,660 peso. This means that for every $2525 US, you can purchase 5,788,660 peso in Argentine currency.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
Sara sells seashells by the seashore. Elisa exports Easter eggs by the egg farm. Sara sells shells for. $0.96/gram. Elisa exports eggs for $1.06/gram. Chen has bought 320grams of shells and eggs and paid $0.9975/gram. How much of each did he buy?
Answer:
Let's represent the amount of shells Chen bought as x grams. Then the amount of eggs he bought is 320 - x grams.
We can use the price per gram to write two equations:
0.96x + 1.06(320 - x) = 0.9975 * 320
Expanding and simplifying the equation:
0.96x + 342.4 - 1.06x = 319.2
-0.1x = -23.2
x = 232
Answer:
Chen bought 232 grams of shells and 320 - 232 = 88 grams of eggs.
andrew is moving to nashville TN. he decides to hire a moving company and gets two quotes. the first quote is $340 which includes 10 hours of packing and 3 hours of loading tje truck. the second quote is for $495 which includes 15 hours of packing and 4 houra of loading the moving truck. determine the hourly rates the moving company charges for packing and loading the truck
Answer: $26.094 an hour
Step-by-step explanation:
First, add up the total hours:
10 + 3 + 15 + 4 = 32
Now, add up the total amount charged:
340 + 495 = 835
Now, divide the amount charged by the number of hours:
835 / 32 = *26.094
* or 26.09375 if it needs to be exact.
the area covered by a lake is 11 square kilometers. It is decreasing exponentially at a rate of 2 percent each year represented by A(t)=11x(.98)^t. By what factor does the area decrease in 10 years? By what factor does the area decrease each month?
Answer:
The lake decreases by a factor of 3.038 in 10 years (to 3.038 km^2).
The lake decreases by a factor of 0.00167 each month.
Step-by-step explanation:
Use the given relationship A(t)=11x(.98)^t and find the value of A for t=10 years.
A(10) = 11*(0.98)^10
A(10) = 3.621 km^2
The lake has decreased by a factor of (11km^2/3.621km^2) or 3.038.
==
The lake decreases each month by (0.02/12) or 0.00167 each month.
Find AD if DC = 4 and DB = 6
AD = 2.6
DB = 4 and DC = 6 , We need to find AD using Euclid's theorem for the right triangle.
What is Euclid's theorem?Euclid's theorem is a fundamental number theory theorem that asserts that for every two numbers a and b, where b does not equal 0, there exist unique integers q and r such that a = bq + r, where 0 r |b|. To put it another way, a may be divided by b with a remaining of r. Euclid's theorem is a subset of the division method that asserts that for every two integers a and b with b greater than zero, there exist unique numbers q and r such that a = bq + r, where 0 r |b|.
Using Euclid's theorem,
∴ DB² = AD * DC
∴ 4² = AD * 6
∴ 6 AD = 16
∴ AD = 16/6 = 8/3 ≈ 2.67
To know more about Euclid's theorem visit
brainly.com/question/7440152
#SPJ1
Sadie is 63.5 inches tall. if 2.54 cm equals 1 inch, what is sadie's height in centimeters?
a. 5.29 cm
b. 25 cm
c. 161.29 cm
o d. 635 cm
plssss help
The centimeter equivalent of Sadie's height is 142.875 cm.
(63.5×2.25) cm.
= 142.875 cm.
which geometric series should you use to find total amount of money after 30 days after 30 days the total is
Geometric series should you use to find total amount of money after 30 days geometric series should you use to find total amount of money after 30 days
after 30 days the total is 0737418.23
Given that
A geometric series is a collection of terms in mathematics that have an unlimited number and a fixed ratio between each term. Because each succeeding term may be produced by doubling the previous term by half, for instance, the series
1/2+1/4+1/8+1/16+ ..........is geometric, because each successive term can be obtained by multiplying the previous term by 1/2.
The geometric series had an important role in the early development of calculus, is used throughout mathematics, and can serve as an introduction to frequently used mathematical tools such as the Taylor series, the complex Fourier series, and the matrix exponential.
Each term in a geometric series is the geometric mean of its two adjacent terms, as indicated by the name.
now, we need to find geometric series should you use to find total amount of money after 30 days
geometric series = Σ[tex]\left \ {{30} \atop {n=1}} \right.[/tex]
= (1)[tex](2)^{1-1}[/tex] + (1)[tex](2)^{2-1}[/tex] + (1)[tex](2)^{3-1}[/tex] + (1)[tex](2)^{4-1}[/tex] + ......................+(1) [tex](2)^{29-1}[/tex] +(1)[tex](2)^{30-1}[/tex]
= 10737418.23
To learn more about geometric series:
https://brainly.com/question/21087466
#SPJ4
Answer:
A and then the 2nd one is 10737418.23
Step-by-step explanation:
yw
please helpppppppppppp!
(4x + 5) + (2x - 7)
4x + 5 + 2x - 7
6x - 2
i opened a grocery account at my bank with $150. every week thereafter, i withdraw $85 from the account to pay for groceries. if x is the number of weeks i've had the account, then y is the amount in the account. find an equation of a line in the form y
The equation of a line in the form y is y = 150 - 85x.
This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.
We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.
Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.
Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.
Learn more about equation of a line here:
https://brainly.com/question/29532486
#SPJ4
99/12 in long division please!
A box contains 12 tickets labeled with numbers. The number on the tickets are -9, -9, -8, -8, -5, -5, -4, 3, 6, 6, 6, 7 . The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is -16.5
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box can be calculated by multiplying the expected value of each draw (which is the mean of the numbers on the tickets) by the number of draws.
The mean of the numbers on the given tickets is ( (-9*2) + (-8*2) + (-5*2) + (-4) + (3) + (6*3) + (7) )/12 = (-18 - 16 - 10 - 4 + 3 + 18 +7)/12 = -1.5
So the expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is 11*-1.5 = -16.5.
Read more about Probability from:
https://brainly.com/question/30034780
#SPJ4
A line passes through the point (4,8) and has a slope of 5. Write and equation in point slope form
Answer:
y - 8 = 5(x -4)
Step-by-step explanation:
(4,8) 4 is the x value and 8 is the y value.
You subtract 8 from y and subtract 4 from x. The slope is after the equal sign.
Answer:
Step-by-step explanation:
The point slope form is y- y₁ = m(x - x₁)
m is the slope or 5 here.
It is given that (x₁ , y₁) = (4, 8)
Just put the values there.
y - 8 = 5(x - 4)
5x - 40 - y + 8 = 0
5x - y - 32 = 0
Pls mark as brainliest. I really need for no apparent reason. Cheers
A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image.
what is symmetry?In mathematics, symmetry is the quality of an object being split into two identical, mirrored parts. What does axis of symmetry mean? The term "axis of symmetry" refers to a hypothetical line that can fold or divide an item into two identical mirror halves. If two halves can fit together, then anything is symmetrical. Drawing a mirror line in the center and making sure both halves are the same will allow you to determine the shape's symmetry. To put it another way, symmetry is when two things are facing one another or when two things have mating pieces that revolve about an axis.
The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image. We obtain the translational and reflective symmetry.
To know more about symmetry visit:
https://brainly.com/question/1597409
#SPJ1
Explain the significance of standard error and 2 different sets of data with different sample sizes that have the same Mean (in terms of precision).
The significance of standard error and 2 different sets of data with different sample sizes that have the same Mean is explained below.
The term mean in math is known as the process of adding all numbers in the data set and then dividing by the number of values in the set.
Here we have know that the significance of standard error and 2 different sets of data with different sample sizes that have the same Mean in terms of precision.
And then it is defined as standard error is a measure of precision.
Where on the other hand it defines a way to better understand data and it also helps to understand how far the data is spread throughout the graph.
As for example while we take his first set had a sample size of two then while his second set had a sample size of 10.
Hence the first sample set had more precision, or a higher standard error.
To know more about Mean here.
https://brainly.com/question/11822836
#SPJ4
Adding and subtracting mixed fractions
Answer:
what do yuo mean by adding and subtracting mixed fractions
