Answer: Slope is m = 3, y-intercept is (0,-24)
Step-by-step explanation: I hope this helps!
example of permutation problem: there are 10 horses racing at the championship. how many ways can the horses finish 1st, 2nd, and 3rd?
Using the Principle of permutations it is found that, there are 720 ways in which the horses can finish in first, second, and third place.
This is an example of a permutation problem, where we are interested in the number of ways to order a set of objects.
In this case, we have 10 horses racing at the championship, and we want to determine how many ways they can finish in first, second, and third place.
To solve this problem, we can use the permutation formula:
P(n, r) = n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to choose and arrange in order.
In this case, we want to choose 3 horses from 10 to finish in a particular order. Therefore, we have:
P(10, 3) = 10! / (10 - 3)!
= 10! / 7!
= 10 x 9 x 8
= 720
Therefore, there are 720 ways in which the horses can finish in first, second, and third place.
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Find the value of c that makes x²-4x+c a perfect square.
Step-by-step explanation:
Given,
[tex] \sf x^2+4x+c \: \: \: \: \: \: \\ \\ \sf x^2+2(2)x+c \\[/tex]
We know that,
[tex] \boxed{ \sf \bull(a+b)^2=a^2+2(a)(b)+b^2} \\ [/tex]
[tex] \sf x^2+2(2)x+c \: \: \: \\ \sf x^2+2(2)x+2^2 \\ \sf(x+2)^2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
Therefore , the value of c is 4
solve for x. please help teehee
Answer:
6
Step-by-step explanation:
We have a secant and a tangent, meaning we can use this formula:
[tex]x^{2} =a(a+b)[/tex]
We have the values of a and b, so let's substitute:
[tex]x^{2} =4(4+5)[/tex]
evaluate the right side
[tex]x^{2} =36[/tex]
take the square root of both sides
x=6
Hope this helps!
Answer:
x=6
Step-by-step explanation:
To solve this problem, you first have to use the formula for this problem. The formula is [tex]b(a+b)=c^2[/tex]. The b in this formula is four or the part of the secent outside the circle, while the a is the line in the middle of the circle, which is 5. The C would be the x because the c is always the tangent of the circle.
So let us substitute the values (this will require quite a bit of algebra).
[tex]b(a+b)=c^2\\\\4(5+4)=x^2\\\\4(9)=x^2\\\\36=x^2\\\\\sqrt{36}=\sqrt{x^2}\\\\6=x[/tex]
(We had to take the square root of both sides to isolate x, this type of problem is called a perfect square binomial.)
Now doing so gives you your answer of x=6
Could I please get the brainiest? (Im trying to get to the expert status)
A jar of olives had a circumference of 11. 99 cm. What was the approximate diameter of the jar?
If the jar of olives had a circumference of 11. 99 cm, the approximate diameter of the jar is 3.82 cm
The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is the constant pi (approximately equal to 3.14), and r is the radius. The diameter is twice the radius, so we can also write the formula as C = πd, where d is the diameter.
In this case, the circumference is 11.99 cm, so we can set up the equation
11.99 = πd
To solve for d, we can divide both sides by π
d = 11.99/π
Using a calculator, we get
d ≈ 3.82 cm
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an article in wear (1992, vol. 152, pp. 171-181) presents data on the fretting wear of mild steel and oil viscosity. representative data follow with x = oil viscosity and y = wear volume (10-4 cubic millimeters). y 240 181 193 155 172 110 113 75 94 x 1.6 9.4 15.5 20.0 22.0 35.5 43.0 40.5 33.0 calculate for the simple linear regression model and provide an interpretation of this quantity. what percentage of the variability does the model accounts for with the data given?
The percentage of the variability does the model accounts for with the data is equals to the 40%.
We have an article in wear (1992, vol. 152, pp. 171-181), x = oil viscosity, y = wear volume and we have a table consists data values of x and y.
the simple linear regression model, is represented as
[tex]y = \beta_0 + \beta_1x [/tex]
where,
[tex]\beta_0 [/tex]
= intercept
[tex]\beta_1[/tex]
= slope
The above shows all calculations of these variables.
Hence, required value is 40%.
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How many significant figures does the number 2.0000 have?
Answer:
The Correct answer is 1
2
Least common denominator
Step-by-step explanation:
Multiply 1/2 by 'one' in the form of 3x / 3x
1/2 * 3x/3x = 3x / 6x
6x is the LCD
1 point
Calculate the mean and mean absolute deviation of these two data sets and use that to compare the two sets of data.
Set A: 4, 6, 7, 8,5,6
Set B: 5, 7,4,8,9,9
Set B has a lesser average and less consistent data values than Set A.
Set B has a greater average but has less consistent data values than Set A
Set B has a lesser average and more consistent data value than Set A.
Set B has a greater average and is more consistent data values than Set A.
Answer:
Step-by-step explanation:
if we define our population as all the households in the city of chicago, and we use the chicago telephone directory from which to draw our sample units, we would likely have: a. a survey with sample frame error. b. a representative survey. c. a survey containing error. d. a census.
If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.
Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.
In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.
A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.
In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.
Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.
In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.
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Hellpppppp I really neeed help with this math on study island
Answer: D
Step-by-step explanation: XY+YZ > XZ
Answer: D
Step-by-step explanation:
2 smaller sides added need to bigger than longest
only happens with D
Find B
A: 92
B: 16
C: 76
D: 23
Answer:
D, 23
Step-by-step explanation:
In order to find b use sin
Sin (30) = b/46
Sin (30) = b/46b = sin (30) × 46
Sin (30) = b/46b = sin (30) × 46b = 1/2 × 46
Sin (30) = b/46b = sin (30) × 46b = 1/2 × 46b = 23
In AVWX, m/V = 96° and m/W = 39°. Which list has the sides of AVWX in order
from longest to shortest?
A. XV, VW, WX
B. WX, VW, XV
C. XV, WX, VW
D. VW, WX, XV
E. VW, XV, WX
F. WX, XV, VW
In the given polygon, the sides of AVWX in order from longest to shortest is XV, WX, VW (option c)
To determine the order of sides from longest to shortest, we need to use the fact that the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Therefore, we need to determine which sides are opposite the largest and smallest angles.
We are given that m/V = 96°, which means that angle V is the largest angle in the quadrilateral. Therefore, side XV is opposite the largest angle and is the longest side.
Similarly, we are given that m/W = 39°, which means that angle W is the smallest angle in the quadrilateral. Therefore, side WX is opposite the smallest angle and is the shortest side.
Now we need to determine the order of the remaining sides, which are AV and VW. To do this, we need to use the fact that the sum of the measures of angles in a quadrilateral is always 360°. Therefore, we can find the measure of angle A by subtracting the sum of the other three angles from 360°.
m/A = 360° - (m/V + m/W + m/X) = 360° - (96° + 39° + m/X)
We don't know the measure of angle X, but we know that it must be between 0° and 180° since it is an interior angle of a quadrilateral. Therefore, we can set up an inequality to find the maximum and minimum values of angle A.
0° < m/X < 180°
96° + 39° < 360° - m/A < 96° + 39° + 180°
135° < 360° - m/A < 315°
225° < m/A < 45°
Since angle A is between 225° and 45°, we know that side AV is longer than side VW. Therefore, the order of sides from longest to shortest is:
XV, WX, AV, VW
Hence the correct Answer is C. XV, WX, VW
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EJERCICIO 13 - RESPONDE ESTE PROBLEMA (Lo necesito urgente por favor)
Un pueblo costero tiene 4.500 habitantes. La tercera parte vive de la pesca; dos quintos, de la agricultura; y el resto, del sector servicios. ¿Cuántos habitantes son del sector servicios? ¿Qué fracción de los habitantes son del sector servicios?
A coastal town with 4,500 inhabitants has the fraction of 1,200 working in the service sector, which represents approximately 26.67% of the total population.
One third of the population works in fishing, which is equal to
(1/3) x 4,500 = 1,500 inhabitants
Two fifths work in agriculture, which is equal to
(2/5) x 4,500 = 1,800 inhabitants
The remaining inhabitants work in the service sector, which is equal to
4,500 - 1,500 - 1,800 = 1,200 inhabitants
To find the fraction of inhabitants who work in the service sector, we can divide the number of inhabitants who work in the service sector by the total population
1,200 / 4,500 = 0.2667 or 26.67%
Therefore, there are 1,200 inhabitants working in the service sector, which represents approximately 26.67% of the total population.
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What is the total price that will be paid on an item with a 7.5% tax rate that is $1425.89?
Answer: Price before tax: $ 1,425.89
+ Sales tax (7.5%): $ 106.94
Total price including tax: $ 1,532.83
Step-by-step explanation:
Multiply the price of your item or service by the tax rate. If you have tax rate as a percentage, divide that number by 100 to get tax rate as a decimal. Then use this number in the multiplication process.
Find list price and tax percentage
Divide tax percentage by 100 to get tax rate as a decimal
Multiply list price by decimal tax rate to get tax amount
Add tax amount to list price to get total price
what are the intercepts of the equation 3x-5y=30? the x and y intercepts.
Answer:
x-intercept (10, 0)
y-intercept (0, -6)
Step-by-step explanation:
The x-intercept is where y = 0. Thus, set y as 0 to find the x-intercept:
3x - 5(0) = 30
3x - 0 = 30
3x = 30
x = 10 The x-intercept is (10, 0)
The y-intercept is where x = 0. Thus, set x as 0 to find the y-intercept:
3(0) - 5y = 30
0 - 5y = 30
-5y = 30
y = -6 The y-intercept is (0, -6)
Answer: (10,0) and (0,-6)
Step-by-step explanation:
To find the y intercepts we solve the equation for when x=0. So we have 3(0)-5y=30 which reduces to -5y=30. Divide -5 on both sides and get y=-6. Therefore, the y intercept is (0,-6). To find the x intercept plug 0 in for y. Then you get x=10, so the x intercept is (10,0).
in triangle lmn, the angle bisector of angle m also bisects ln. classify lmn as specifically as possible, as what kind of triangle?
If the angle bisector of angle M also bisects side LN, then we can conclude that triangle LMN is an isosceles triangle.
Let the angle bisector of angle M cross LN at point P to show why this is true. We know from the angle bisector theory that LP/PN = LM/MN. Because LP = PN, LM = MN, which indicates that triangle LMN has two equal sides (LM = MN) and is thus an isosceles triangle.
A triangle with two equal sides and two equal angles is called an isosceles triangle. The two equal angles are opposite the equal sides and are known as the basis angles.
The angle bisector of the vertex angle (the angle opposite the equal sides) likewise bisects the base, dividing it into two equal segments.
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11) Fred wants to buy 6 hats but there are 12 hats that he likes. How many possible combinations of
the 6 hats can he choose?
Answer:
The number of possible combinations of 6 hats chosen from 12 hats can be calculated using the combination formula:
C(12, 6) = 12! / (6! * (12 - 6)!) = 12! / (6! * 6!) = (12 * 11 * 10 * 9 * 8 * 7) / (6 * 5 * 4 * 3 * 2 * 1) = 924
Therefore, Fred has 924 possible combinations of 6 hats he can choose from the 12 hats he likes.
Easy eats diner is a large restaurant chain after paying for a meal at easy eats diner customers are asked to rate the quality of food as a 1,2,3,4,or 5, where a rating of 1 means not good and 5 means excellent the customers ratings have a population mean of
The mean and the standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
Population mean 'μ' = 4.57
Sample size 'n' = 7
Population Standard deviation 'σ' =1.82
Mean of the sampling distribution of the sample mean is equal to the population mean,
which is μ = 4.57.
So, μₓ = μ = 4.57.
Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.
Using the formula we have,
σₓ = σ / √(n)
Substituting the given values, we have,
⇒ σₓ = 1.82 / √(7)
⇒ σₓ = 1.82 / 2.646
⇒ σₓ = 0.6878
⇒ σₓ ≈ 0.69
This implies,
The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.
Therefore, the mean of the sampling distribution of the sample mean and
standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
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The above question is not complete, the complete question is:
Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μₓ(the mean of the sampling distribution of the sample mean). ?
(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?
One morning, Ryan remembered lending a friend a bicycle. After breakfast, Ryan walked over to the friend's house at 3 miles per hour, and rode the bike back home at 7 miles per hour, using the same route both ways. The round trip took 1.75 hours. What distance did Ryan walk?
Ryan thus walked a distance of 1.8375 miles.
How much distance did Ryan walk?Let d be the distance between Ryan's house and his friend's house.
According to the problem, Ryan went to his friend's house at a speed of 3 miles per hour, which equals d/3 hours.
Ryan rode his bike home at 7 miles per hour, which meant it took him d/7 hours.
We can use the following equation because the round trip took 1.75 hours:
d/3 + d/7 = 1.75
To calculate d, first, simplify the equation by locating a common denominator:
(7d + 3d) / (3 x 7) = 1.75
10d / 21 = 1.75
When we multiply both sides by 21, we get:
10d = 1.75 x 21
10d = 36.75
When we divide both sides by 10, we get:
d = 3.675
The distance between Ryan's residence and his friend's house is thus 3.675 miles. Ryan walked to his friend's house and returned home on the same route, thus he walked the same distance as he rode the bike, which is d/2 = 1.8375 miles.
Ryan thus walked 1.8375 miles.
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Susan went shopping for a new shirt the original price of the shirt was $32.50 but was marked down to $21.13 what was the percentage of discount Susan got on the shirt
Hence, Susan got a 35% discount on the shirt.
What is the discount?The discount equal to the difference between the price paid for and it is par value. Discount is a type of deduction or reduction in the cost price of a product. It is more used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, although the abbreviations pct., pct, and sometimes pc are also used. A percentage is a dimensionless number; it has no unit of measurement.
To calculate the percentage of discount Susan got on the shirt, we need to calculate the difference between the original price and the discounted price and express it as a percentage of the original price:
We know that,
Discount = Original price - Discounted price
According to question, Original price = $32.50 and Discounted price = $21.13
Discount = $32.50- $21.13
Discount = $11.37
therefore , discount of Susan got on the shirt is $11.37.
Now ,we calculate the percentage of discount
Percentage of discount = [tex]\frac{Discount}{Original price}[/tex]x 100%
Percentage of discount = [tex]\frac{11.37}{32.50}[/tex]x 100%
Percentage of discount = 35%
Therefore, Susan got a 35% discount on the shirt.
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Mike has 4 apples. Zom has 8 more. How many apples does zom have
According to unitary method, the total number of fruits in the basket is (8/7) times the difference between the total number of fruits and 5.
To find out the total number of fruits in the basket, we need to add up the number of apples, bananas, and oranges. So, the equation we can use is:
total fruits = number of apples + number of bananas + number of oranges
total fruits = 5 + (5/8)x + (1/4)x
Notice that we used "x" to represent the total number of fruits. Now we can simplify the equation by finding a common denominator for the fractions:
total fruits = 5 + (5/8)x + (2/8)x
total fruits = 5 + (7/8)x
So, we have an equation for the total number of fruits in the basket in terms of "x". To solve for "x", we can subtract 5 from both sides of the equation:
(7/8)x = total fruits - 5
And then, we can multiply both sides by 8/7 to isolate "x":
x = (8/7)(total fruits - 5)
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Complete Question:
Mike made a fruit basket. Of a total fruit, 5 were apples, 5/8 were bananas and 1/4 were oranges. How many pieces of fruit does mike have in his basket.
Carson, a lawyer, used to charge his clients $360 per hour. Recently, he reconsidered his rates and ultimately decided to charge 20% less. Now how much does Carson charge per hour? $
If the lawyer Carson decides to charge 20% less in the rate of $369 per hour, then the new amount that Carson charge per hour will be $288.
The per-hour rate of the lawyer Carson is = $360,
To find new-rate, we convert the percentage 20% to a decimal which is 0.2,
We multiply the previous rate of $360 by 0.2 to get the amount of the reduction:
⇒ $360 × 0.2 = $72,
So, Carson has reduced his rate by $72 per hour.
To find the new rate, we subtract reduced-rate from the previous-rate:
We get,
⇒ $360 - $72 = $288,
Therefore, Carson's "new-rate" is $288 per hour.
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Martin works at a clothing store and earns commission off each item he sells. He earns 15% commission on each pair of shoes and 10% commission on each belt. Last week martin sold 3 pairs of shoes that each cost $53. 00 and 5 belts that each cost $15. 0. How much commission did he earn on these eights items
Martin's total commission is $23.85 + $7.50 = $31.35.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
The total cost of the three pairs of shoes is $53.00 * 3 = $159.00
The total cost of the five belts is $15.00 * 5 = $75.00
Martin's commission on the shoes is 15% of $159.00 = $23.85
Martin's commission on the belts is 10% of $75.00 = $7.50
Therefore, Martin's total commission is $23.85 + $7.50 = $31.35.
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Hi, I really need help on radicals and exponents.
Answer:
The answer is A, you have to simplify in order to solve this equation.
Jordan played three rounds of a video game. This table shows how many points he scored in each round.
How many points did he score in all?
1732 + 1273 + 1638 = 4643
this is the answer, hope it helps!
find the missing lengths. Leave your answers as radicals in simplest form
Answer:
b
Step-by-step explanation:
you use cos or sin to solve it cause it is isoscels triangle so a and b are equale .
cos (45) = a / 5√2
a = cos(45) ×5√2
a = 5 so b = 5
so the answer will be 5 and 5
Which of the following points is NOT a solution to the inequality
4х - у < 5?
A:(-4-1)
B:(1,5)
C:(2,3)
D:(-5,0)
The incorrect solution to the inequality is C ( 2 , 3 )
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
4x - y < 5
On simplifying , we get
Let the point be represented as C ( 2 , 3 )
Substituting the values in the inequality , we get
4 ( 2 ) - 3 < 5
8 - 3 < 5
5 is not less than 5
Hence , the point C ( 2 , 3 ) is not a solution
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Vera's favorite apples are $1.99 per pound at the local farmers' market. She bought 13.5 pounds of apples. How much did she spend? Round your answer to the nearest hundredth.
please I need explanation for this work.
Answer: $26.865 rounded to nearest hundredth = $26.87
Step-by-step explanation: So, firstly, Vera's favorite apples are $1.99 per pound. In all, she brought 13.5 pounds of apples.
⬇️
$1.99 the price of apples per pound multiplied by 13.5 pounds of all the apples she brought is equal to $26.865 rounded to the nearest hundredth is $26.87.
I hope this helps! If it's wrong just let me know! I tried my best <3
jayla bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 12 cups of soup. a quick search told her that this was 173.3 cubic inches. she hoped the soup pot below would be big enough. the soup pot is 8 inches tall with a radius of 3 inches. what is the volume of the soup pot? answer choices are rounded to the nearest whole cubic inch.
The volume with the amount of soup that Jayla wants to make, which is 173.3 cubic inches.
In this problem, we are given the dimensions of the soup pot - a height of 8 inches and a radius of 3 inches. To find the volume of the soup pot, we will use the formula for the volume of a cylinder, which is:
V = πr²h
where V represents volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
Substituting the given values into the formula, we get:
V = π(3)²(8) V = 72π
Now, we can use an approximation for π, such as 3.14, to get a numerical value:
V ≈ 226.19
Rounding to the nearest whole cubic inch, the volume of the soup pot is approximately 226 cubic inches.
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The Function 1 (x) = 2160 (1.07)x can be used to calculate the value, in dollars, of an investment x years after the investment was made. What statement best interprets the parameters of the function?
Answer: show a picture please
Step-by-step explanation:
