The value of £18 to euros will be €24.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
As an estimation, we are told £3 is €4. Convert £18 to euros.
The conversion will be done as:-
£3 = €4
£ 1 = €4/ 3
18 x £ 1 = ( €4/ 3 ) x 18
£18 = €24
Therefore the value of £18 to euros will be €24.
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4+9x6-4=22 where will we put brackets to be right ?
Answer:
I think we put the brackets here
4+(9×6)-4=22
Answer:
4+9 (6-4) = 22
Step-by-step explanation:
you subtract the numbers inside the brackets (6-4=2) and solve the problem.
4+9x2=22
4+18=22
i hope i helped you!
Si colocan en 16 pisos, 16 ladrillos. ¿Cuántos ladrillos pusieron en total?. (expresarlo en forma de potencia)
Answer:
Númer total de ladrillos= 256
Step-by-step explanation:
Dada la siguiente información:
Total de pisos= 16
Total de ladrillos por piso= 16
Para calcular cantidad de ladrillos en total, tenemos que usar la siguiente formula:
Número total de ladrillos= total de ladrillos^2
Número total de ladrillos= 16^2
Númer total de ladrillos= 256
En este caso lo hace al cuadrado por que la cantidad de pisos y ladrillos por piso es la misma. Sino, es mejor expresarlo como una multiplicación.
Given f(x)=2x-5, what would be the expression for f(t-1)?
A f(t-1)=2t-3.
B f(t-1)=21-5
C
f(t-1)=2t-7
The sum of the squares of two numbers is equal to 100. Which graph represents all the values that make this
statement true?
Answer:
D) the bigger circle
Step-by-step explanation:
plot the vector field. f(x, y) = x4, y4
This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.
The vector field for f(x,y) = x^4, y^4 can be plotted by considering the gradient of the function, which gives us the direction and magnitude of the vector at each point (x,y).
The gradient of f(x,y) is given by:
grad(f) = (∂f/∂x)i + (∂f/∂y)j
= 4x^3 i + 4y^3 j
This tells us that at each point (x,y), the vector has a magnitude of sqrt((4x^3)^2 + (4y^3)^2) = 4sqrt(x^6 + y^6) and is pointing in the direction of (4x^3, 4y^3).
To plot the vector field, we can choose a set of points (x,y) on a grid and calculate the corresponding vectors. We can then draw an arrow at each point (x,y) with the length and direction given by the corresponding vector.
Alternatively, we can use software such as MATLAB or Python with a suitable library like matplotlib to plot the vector field. Here is an example code in Python:
import numpy as np
import matplotlib.pyplot as plt
# Define the vector field function
def f(x, y):
return np.array([x**4, y**4])
# Define the grid of points to plot
x = np.linspace(-1, 1, 20)
y = np.linspace(-1, 1, 20)
X, Y = np.meshgrid(x, y)
# Evaluate the vector field at each point
U, V = f(X, Y)
# Plot the vector field
plt.quiver(X, Y, U, V)
# Add labels and show the plot
plt.xlabel('x')
plt.ylabel('y')
plt.title('Vector Field for f(x,y) = x^4, y^4')
plt.show()
This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.
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A lighthouse at point (0, 0) is able to illuminate up to 200 m away. If a boat is stranded at the point (100, 75), is it within the distance of the light's beam? Justify your answer. Draw a sketch. Round your final to two decimal places, as needed.
The distance between two points, (x1, y1) and (x2, y2), is given by the formula:
Distance =\(√((x2-x1)^2+(y2-y1)^2)\)
Therefore, the distance between the lighthouse at point (0,0) and the boat at point (100,75) is:
Distance =\(√((100-0)^2+(75-0)^2)≈125 m\)
Since the distance from the boat to the lighthouse is less than the light's beam of 200 m, the boat is within the distance of the light's beam, and thus the lighthouse can illuminate the boat.
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please help
bdhdhdhfjci
Answer:
40 degrees
Step-by-step explanation:
A full triangle is 180 degrees
85+55=140
180-140=40
find the estimates for the following:
Answer:
Hope it helps
Step-by-step explanation:
What is the equation of a line that goes through points (4,-5) and (-4, 1)?
Answer:
y=-3/4x-2
Step-by-step explanation:
y=mx+b form (slope intercept form)
1) find slope
(4,-5) and (-4,1)
1-(-5)=6
-4-4=-8
m=6/-8 or 3/-4
y=-3/4x+b
Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)
in this case, I'll plug in (4,-5).
-5=-3/4(4)+b
Note that I substituted the y and x variables in place of one of the coordinates.
find b=-2.
Result: y=-3/4x-2
The following data represent a random sample for the ages of 41 players in a baseball league. Assume that the population is normally distributed with a standard deviation of 2.1 years. Use Excel to find the 98% confidence interval for the true mean age of players in this league. Round your answers to three decimal places and use ascending order.
Age
29
31
30
23
24
30
24
30
34
30
28
28
28
31
25
25
25
31
26
24
21
34
32
30
26
26
31
32
36
32
25
25
28
27
25
33
29
29
32
26
27
Provide your answer below: ( , )
The 98% confidence interval for the true mean age of players in this league
(27.152, 30.548)
To find the 98% confidence interval for the true mean age of players in this baseball league using Excel, follow these steps:
1. Enter the age data in a column, for example, from A1 to A41.
2. Calculate the sample mean using the formula "=AVERAGE(A1:A41)" in any empty cell.
3. Calculate the standard error using the formula "=(2.1/SQRT(COUNT(A1:A41))" in another empty cell.
4. Find the critical value (z-score) for a 98% confidence interval using the formula "=NORM.S.INV(1-(1-0.98)/2)" in another empty cell.
5. Calculate the margin of error using the formula "z_score * standard_error" in another empty cell.
6. Find the lower confidence limit using the formula "=sample_mean - margin_of_error" in another empty cell.
7. Find the upper confidence interval limit using the formula "= sample mean + margin of error" in another empty cell.
After following these steps, you should have the lower and upper limits of the 98% confidence interval. Round the results to three decimal places and use ascending order.
Your answer:(27.152, 30.548)
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With equations in the form y=a|x-h| +k. Which of the following is NOT true about how a,h and k affect the graph
When doing transformations and shipments to absolute value functions is:
When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift
When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.
The vertex for the general form of an absolute value function is (h,k)
The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".
Answer:
The expression that is not correct is:
The vertex for the function is (k,h)
How do the laws of exponents apply to algebraic expressions
The laws of exponents are useful to solve algebraic expression as shown below.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
The laws of exponents (sometimes referred to as the rules of exponents) allow us to simplify expressions by using our understanding of what an exponent implies.
The goal is to write algebraic expressions as simply as you can in both situations.
Recall that an exponent indicates the number of times to multiply a number, variable, or expression by itself.
\(x^4=x \cdot x\cdot x\cdot x\)
and, \((x+5)^3=(x+5)(x+5)(x+5)\)
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Define the following sets:
A = {x ∈ R: x < -2}
B = {x ∈ R: x > 2}
C = {x ∈ R: |x| < 2}
Do A, B, and C form a partition of R? If not, which condition of a partition is not satisfied?
A, B, and C do not form a partition of R.
The sets A, B, and C do not form a partition of R, because they are not disjoint.
To see this, note that any number x such that -2 < x < 2 is in neither A nor B, but is in C.
So the intersection of C with the union of A and B is non-empty.
Therefore, the condition that the sets in a partition must be pairwise disjoint is not satisfied.
Recall that a partition of a set S is a collection of non-empty, pairwise disjoint subsets of S whose union is equal to S. In this case, we have:
A is the set of all real numbers less than -2.
B is the set of all real numbers greater than 2.
C is the set of all real numbers with absolute value less than 2.
It is clear that A, B, and C are non-empty, and their union is all of R. However, they are not pairwise disjoint, as explained above.
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In order for A, B, and C to form a partition of R, they must satisfy three conditions:
1) They must be non-empty subsets of R,
2) Their union must be equal to R, and
3) They must be disjoint sets
Therefore, to determine if A, B, and C form a partition of R, we must check if they meet all three conditions. If any condition is not satisfied, then they do not form a partition of R. A partition of a set R consists of non-empty subsets A, B, and C, such that their union equals R, and their pairwise intersections are empty. In other words, every element of R belongs to exactly one of these subsets.
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$20 s= X s= $21
Solve the compound inequality. Round each answer to the hundredths place.
Answer: x =420 s = 21
Step-by-step explanation:
The diagram shows a wedge ABCDEF.
The base of the wedge is a horizontal rectangle measuring 60cm x 40cm
9514 1404 393
Answer:
77.3 cm
Step-by-step explanation:
The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...
cos(25°) = BC/BF
BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm
Then the diagonal length FA is found using the Pythagorean theorem:
FA = √(AB² +BF²)
FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm
The diagonal length FA is about 77.3 cm.
dear guineas
plsssss help me to my home work plssss
Answer:
n1=2
n2=-3
n3=-8
n4=-13
n5=-18
Jamal groups 8 blocks as 5 blocks and 3 blocks What is another way to group the 8 blocks
Answer:
1 block and 7 blocks
Step-by-step explanation:
You can split 8 blocks into 1 and 7.
Hope this helps :)
The CFO tell you that the company owner have aid that unle the quarterly operating profit exceed $15,210, they will liquidate the company. How many tile would have to be old in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit?
Note: Do not round intermediate calculation
The number of tiles that must be sold in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit is 138000 tiles .
To calculate the number of tiles needed to be sold in order to earn $15,210 in quarterly operating profit, you need to first find the unit variable cost (the cost of producing each tile),
The average variable cost per tile is = 357556/125900 = $2.84 ;
the average selling price per tile is = 463312/125900 = $3.68 ;
So , Average contribution margin per tile is = $3.68 - $2.84 = $0.84 ;
The Number of tiles to earn earn $15,210 in quarterly operating profit is calculated as : (total fixed costs + profit) / (contribution margin)
⇒ (100800+15120)/0.84
⇒ 115920/0.84 = 138000 tiles .
Therefore , to earn $15,210 in quarterly operating profit , 138000 tiles should be sold .
The given question is incomplete , the complete question is
Belleterre Tile Revenue and Costs for Third Quarter is :
Total Revenue sold : 125900 tiles ;
Total revenue : $462312 ;
Total Variable costs : 357556 ;
Total Fixed Costs : 100800 ;
The CFO tells you that the company owner have said that unless the quarterly operating profit exceeds $15210, they will liquidate the company. How many tiles would have to be sold in a quarter for Belleterre Tile to earn $15,210 in quarterly operating profit ?
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What is Doctor B's prior probability for the hypothesis that you do not have cogscitis? ___
Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.
Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.
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t the fair, the Ferris wheel ends and begins passenger rides by rotating in small angles and stopping to let passengers board or dismount after each angle. On one rotation, the Ferris wheel stops at the angles shown below.
The shaded angle represents the distance the Ferris wheel needs to complete in order to make a full 360° rotation. What is the angle measurement remaining to make the full rotation?
Answer:
Step-by-step explanation:
Answer:15 degrees
Step-by-step explanation:
Your aunt offers you a choice of $22,000 in 17 years or $950 today. At a discount rate of 20 percent, how much is your aunt's offer of $22,000 worth today? (Enter your answer as a positive number rounded to 2 decimal places.) If you invest $12,500 today, how much will you have in each of the following cases? Enter all answers as positive amounts. a. In 8 years at 7 percent? (Round your final answer to 2 decimal places.) b. In 17 years at 10 percent? (Round your final answer to 2 decimal places.) c. In 20 years at 12 percent (compounded semiannually)? (Round your final answer to 2 decimal places.)
At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.
To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.
For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.
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Now suppose instead that we want to test whether the first two categorical variables, paired up, are independent of the third variable - e.g., that (hair color, eye color) is independent of gender. Let P - denote the population proportion in the (ij) category for
the pair - e.g., (black hair, brown eyes).
a. What does H, look like now?
b. Now how would you calculate � Win? c. Now what are the degrees of freedom? [Hint: now Pi-s P,.- is just one giant
collection of parameters. But there's still p+1. P.
a. The null hypothesis, H₀, states that (hair color, eye color) is independent of gender.
b. The ò statistic is calculated using observed and expected frequencies for the paired categorical variables (hair color, eye color) and gender.
c. The degrees of freedom would be (r - 1) * (c - 1), where r is the number of categories in the first variable (hair color), and c is the number of categories in the second variable (eye color).
For testing the independence of paired categorical variables (hair color, eye color) with gender, what does H₀ look like, how is the ò statistic calculated, and what are the degrees of freedom?
The null hypothesis, H₀, would state that the two categorical variables, when paired up, are independent of the third variable. In this case, H₀ would be "Hair color and eye color are independent of gender." To calculate the ò statistic, we would follow a similar process as before. We would observe the frequencies or counts in each category of the pair (hair color, eye color) and gender. Then, we would calculate the expected frequencies under the assumption of independence and calculate the ò statistic using the formula:
ò = Σ((Oij - Eij)² / Eij),
where Oij represents the observed frequency in the (ij) category and Eij represents the expected frequency in the (ij) category under the assumption of independence.
The degrees of freedom for this test would be calculated differently. In this case, we would have (r - 1) * (c - 1) degrees of freedom, where r is the number of categories in the first variable (hair color), c is the number of categories in the second variable (eye color), and (r - 1) * (c - 1) represents the degrees of freedom associated with the independence test for the two variables when paired up.Learn more about null hypothesis,
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A solid with surface area 50units^2 is dilated by a scale factor of K to obtain a solid surface area 200units^2. Find the value of K.
The value of K is 2.
Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.
We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.
Using the formula for the surface area, we have:
Initial surface area * (scale factor)^2 = Final surface area
50 * K^2 = 200
Dividing both sides of the equation by 50:
K^2 = 200/50
K^2 = 4
Taking the square root of both sides:
K = √4
K = 2
Therefore, the value of K is 2.
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Write an equation for the line parallel to the given line that
contains C.
C(4,6); y= -4x+1
The equation of the parallel line is
The equation of the line parallel to the given line is y + 4x = 22
The given line is y= -4x+1
Slope of the line = -4
Slope of the parallel line= -4
Equation of the line parallel to the given line which passes through C(6,4)
y - 6 = - 4 ( x - 4 )
y - 6 = -4x + 16
y + 4x = 22
Hence the equation of the parallel line is y + 4x = 22
One that stretches on all sides and has no width is referred to in geometry as a line. A straight line is, to put it simply, a line without bends. An non-curved line that extends to infinity on both sides is said to be straight.
The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.
The equation of a straight line can be written in a number of different ways, such as point-slope form, slope-intercept form, general form, standard form, etc.
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drag each equation for the value of the n that makes it true.
Step-by-step explanation:
n=2
1. 16=8×n
16/8=n
2=n
4. n×4=8
n=8/4
n= 2
n=8
2. 16=n×2
16/2=n
8=n
3. 4×n= 32
n=32/4
n= 8
hope it helps
35°
46"
65"
30"
2x
What is the perimeter? This is a little tougher problem,
and to solve it you'll need to know the lengths of the
segments on either side of the perpendicular height
(which is whyt I gave you the numbers in smaller font).
Submit
The perimeter of the triangle is 170 inches.
How to calculate the valueTo solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:
sin(35°) = 46/x
x = 46/sin(35°) = 65 inches
Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:
cos(35°) = 65/x
x = 65/cos(35°) = 75 inches
The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:
P = 65 + 75 + 30
= 170 inches
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shortest to longest
help
Answer:
C,B,A
Step-by-step explanation:
I figured this out because 90% of angles go clockwise so all you have to do is this....
C) 61-60 = 1
B) 60-59 = 1
A) 61-59 = 2
Hope this helps! :)
Tell me if I am correct! :)
The prosecutor claims: "There is a 1% chance that the defendant would have the crime blood type if he were innocent. Thus, there is 99% chance that he is guilty." This is known as prosecutor’s fallacy. What is wrong with this argument?
The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.
This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.
It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.
In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.
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Answer ASAP please. First right answers get brainliest!!
Answer:
1 5 and 6 are functions the rest are not
Step-by-step explanation:
On a certain trip, a traveler is driving at a constant rate of 85 km/hour. At that rate, the number of minutes needed to complete the last 43 kilometers of the trip is between
a. 20 and 25
b. 25 and 30
c. 30 and 35
d. 35 and 40
e. 40 and 45
Answer:
30 and 35
Step-by-step explanation:
Distance covered of 85km=1hour=60minutes
Distance covered of 1km=60minutes/85km
Distance covered of 43km=60mins/85km × 43mins
= 30.35mins
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