The fraction of the total distance to her aunt’s house was traveled on Sunday is 1 3/35
The term called fraction in math is defined as the number is expressed as a quotient, in which the numerator is divided by the denominator.
Here we have know that Leslie's family traveled 2/7 of the distance to her aunt’s house on Saturday and they traveled 4/5 of the remaining distance on Sunday.
Then the total distance is calculated by adding the given fraction, then we get,
=> 2/7 + 4/5
Here we have the unlike denominators find the Least Common Denominator (LCD),
LCD of 7 and 5 = 35
Now, we have to multiply numerators and denominators to get the LCD in all fraction denominators, then we get,
=> 10/35 + 28/35
=> 38/35
When we Simplifying the answer, then we get,
=> 1 3/35
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Identify the simplest polynomial function having integer coefficients with the given zeros.
4i, 3, −1
The simplest polynomial function having integer coefficients with the given zeros is: x⁴ -2x³ + 14x² - 32x - 48
How to solve for the polynomialThe polynomial is of degree 4
We have the values as 4i, 3 , -1
Hence we would have the following in brackets
for 4i = (x - 4i) (x + 4i)
for 3 = (x - 3)
for - 1 = (x + 1)
We would have to multiply these
(x - 4i) (x + 4i) (x - 3) (x + 1)
f(x) = x² + 4ix - 4ix (-4i)² (x² + x - 3x - 3)
f(x) = (x² + 16)(x² - 2x - 3)
This can also be expanded to standard form if you wish
x⁴ - 2x³ - 3x² + 16x² - 32x - 48
properly arrange
x⁴ -2x³ + 14x² - 32x - 48
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where A is a real integer and A ≠ 0.
f(x) = A(x2 + 16)(x - 3)(x + 1)
what is the average (arithmetic mean) number of runs per game scored by the new york yankees last season ? (1) last season, the new york yankees played 160 games (2) last season, the new york yankees scored four runs per game in exactly 1/5 of their games, five runs per game in exactly 3/4 of their games, and nine runs per game in exactly 1/20th of their games.
Answer:
5
Step-by-step explanation:
(1) last season, the new york yankees played 160 games
(2) last season, the new york yankees scored
4 runs per game in exactly 1/5 of their games, 1/5*160 =32 games
5 runs per game in exactly 3/4 of their games, 3/4*160 =120 games
9 runs per game in exactly 1/20th of their games 1/20*160 = 8 games
total runs 4*32+ 5*120 + 9 *8 = 128+600+72 =800
total games 160
average: 800/160 =5
22. The Columbus Junior Soccer League is
selling raffle tickets to raise money for new
uniforms and equipment. So far, league
members have earned $1,218 from selling
84 tickets. Use the equation 1,218 ÷ 84 = r
to find the cost of each raffle ticket. Then
use the answer to find what the total
earnings will be after 90 raffle tickets have
been sold.
The cost of each raffle ticket is thus $14.50, and the cost of 90 tickets is $1305.
What is division and multiplication?In multiplication, the numbers being multiplied are referred to as factors, and the end result is referred to as the product. In division, the dividend is the number being divided, the divisor is the number dividing it, and the quotient is the outcome of the division.
Given that the equation to find the cost of a single ticket is:
1218 ÷ 84 = x
x = 14.5
The cost of each raffle ticket is thus $14.50.
The cost of 90 tickets is given by:
90 × 14.50 = y
y = 1305.
Hence, the cost of 90 tickets is $1305.
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What is the value of 4.3x10^5
DE is
midsegment of AABC. Find the value of x
B
X
The length of x in the triangle is 8 units.
How to find the side of a triangle with mid segment?A midsegment is the line segment connecting the midpoints of two sides of a triangle.
The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it
Therefore, DE is the mid segment of the triangle ABC. The value of x can be found as follows:
Using the mid segment principle,
BE = EC
BD = DA
Therefore,
x = 8 units
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Ron sells bananas for $0. 60 each. How many bananas did Ron sell if he made $150. 00, after taking off $39. 00 for his banana stand rental?
Choose all that are correct. Refer to image.
The apothem of a regular pentagon exists [tex]$4.6797 \mathrm{~cm}$[/tex], and the perimeter exists [tex]$34 \mathrm{~cm}$[/tex]. The area equals [tex]$79.55 \mathrm{~cm}^2$[/tex].
What is meant by regular pentagon?It is a regular pentagon if all of its sides and angles are equal in size. It is not normal if not. Each angle inside the regular pentagon is 108°, while each angle outside is 72°. There are 5 equal sides in an equilateral pentagon.
Five congruent sides (sides of identical length), five congruent inner angles (each measuring 108°), and five congruent outer angles of 72° are necessary for a regular pentagon to exist.
If a polygon's sides and angles are equal, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a regular quadrilateral is a square.
Therefore, the correct answer is option c) The apothem of a regular pentagon is [tex]$4.6797 \mathrm{~cm}$[/tex], and the perimeter is [tex]$34 \mathrm{~cm}$[/tex]. The area equals [tex]$79.55 \mathrm{~cm}^2$[/tex].
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Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.
Hours after Midnight
Wind Speed (mph)
1
4. 3
2
4. 2
4
5
7
6. 8
9
8
10
8. 1
13
7. 2
17
6
20
5. 1
Which trigonometric function best models this data?
y = 1. 87sin(0. 29x + 6. 13) + 4. 79
y = 1. 87sin(0. 29x + 4. 79) + 6. 13
y = 1. 87sin(–0. 29x + 6. 13) + 4. 79
y = 1. 87sin(–0. 29x + 4. 79) + 6. 13
The trigonometric function that accurately fits the data is as follows: y = 1.87sin(–0.29x + 4.79) + 6.13. So the option D is correct.
The following is the trigonometric function that best represents the data:
y = 1.87sin(-0.29x + 4.79) + 6.13
Check the values in the table using the aforementioned equation;
At x = 1
y = 1.87sin(-0.29 x 1 + 4.79) + 6.13
y = 1.87sin(4.5 rad) + 6.13
y = 4.3
At x = 2
y = 1.87sin(-0.29 x 2 + 4.79) + 6.13
y = 1.87sin(4.21 rad) + 6.13
y = 4.49
At x = 4
y = 1.87sin(-0.29 x 4 + 4.79) + 6.13
y = 1.87sin(3.63 rad) + 6.13
y = 5.2
At x = 7
y = 1.87sin(-0.29 x 7 + 4.79) + 6.13
y = 1.87sin(2.76 rad) + 6.13
y = 6.8
At x = 9
y = 1.87sin(-0.29 x 9 + 4.79) + 6.13
y = 1.87sin(2.18 rad) + 6.13
y =7.7
At x = 10
y = 1.87sin(-0.29 x 10 + 4.79) + 6.13
y = 1.87sin(1.89 rad) + 6.13
y = 7.9
At x = 13
y = 1.87sin(-0.29 x 13 + 4.79) + 6.13
y = 1.87sin(1.02 rad) + 6.13
y = 7.72
At x = 17
y = 1.87sin(-0.29 x 17 + 4.79) + 6.13
y = 1.87sin(-0.14 rad) + 6.13
y = 5.9
At x = 20
y = 1.87sin(-0.29 x 20 + 4.79) + 6.13
y = 1.87sin(-1.01 rad) + 6.13
y = 4.6
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The complete question is:
Review the table showing wind speed, y, in miles per hour, measured x hours after midnight. Which trigonometric function best models this data?
Hours after Midnight Wind Speed (mph)
1 4.3
2 4.2
4 5
7 6.8
9 8
10 8.1
13 7.2
17 6
20 5.1
y = 1.87sin(0.29x + 6.13) + 4.79
y = 1.87sin(0.29x + 4.79) + 6.13
y = 1.87sin(–0.29x + 6.13) + 4.79
y = 1.87sin(–0.29x + 4.79) + 6.13
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply
Answer:
x=5/2 and x=0
Step-by-step explanation:
To solve this equation, we first need to get all the terms on one side of the equation by subtracting 3x from both sides:
4x^2 - 7x - 3x = 24
Simplifying, we get:
4x^2 - 10x = 24
Now, we can factor out the GCF (Greatest common factor) on the left side of the equation:
2x(2x-5) = 24
Now we can divide both sides of the equation by 2x(2x-5) to get the solutions for x:
x = 5/2 , x = 0
So the solutions of the equation 4x^2 - 7x = 3x + 24 are x=5/2 and x=0
The value of Kensington's car decreases in Value according to the exponential decay function
V = Pe-0. 12t , where Vis the current value of the vehicle, t is the number of years
Kensington has owned the car and P is the purchase price of the car, $20,000. To the
nearest dollar, what will be the value of Kensington's car in 8 years?
If value of Kensington's car decreases in Value according to the exponential decay function "V = Pe^(-0. 12t)" , then value of Kensington car after 8 years is = $7658 .
The value of the Kensington car is decreasing according to the function ;
the exponential decay function is : V = Pe^(-0. 12t) ;
the purchase Price(P) of the car is = $20000 ;
we have to find the value of Kensington's car in 8 years ;
So , we substitute the value of P = 20000 and t = 8 years in the exponential decay function ,
we get ;
V = 20000 × e^(-0. 12 × 8)
V = 20000 × e^(-0.96)
V = 20000/e^(0.96)
Simplifying further ,
V = 7657.8577 ,
V ≈ $7658 .
Therefore , the value of the car after 8 years is $7658 .
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Help. WILL GIVE BRAINLIEST!!!!
This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of -1 in the y-direction. Therefore, we have:
t=(3,−1)
How to find translation vector?To find the translation vector that maps quadrilateral ABCD to quadrilateral $A"B"C"D"$, we can subtract the coordinates of corresponding vertices. Let $\mathbf{t}$ be the translation vector. Then:
[tex]$$ \begin{align*}\\\mathbf{A}" - \mathbf{A} &= \langle -3 - t_x, -3 - t_y \rangle - \langle -3, -2 \rangle \\\&= \langle -3 - t_x + 3, -3 - t_y + 3 \rangle \\\&= \langle -t_x, -t_y \rangle\end{align*} $$[/tex]
Similarly, we have:
[tex]$$ \begin{align*}\mathbf{B}" - \mathbf{B} &= \langle 0 - t_x, -1 - t_y \rangle - \langle 0, -2 \rangle \\\&= \langle -t_x, 1 - t_y \rangle \\\\\\mathbf{C}" - \mathbf{C} &= \langle 1 - t_x, -3 - t_y \rangle - \langle 1, 0 \rangle \\\&= \langle -t_x, -3 - t_y \rangle\end{align*}[/tex]Since [tex]$\mathbf{D}"$[/tex] is not given, we cannot use it to solve for the components of [tex]$\mathbf{t}$[/tex]. However, note that the x-coordinate of [tex]$\mathbf{A}"$[/tex] is -3, which is 3 less than the x-coordinate of [tex]$\mathbf{A}$[/tex]. This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of 3 in the x-direction. Similarly, the y-coordinate of [tex]$\mathbf{B}"$[/tex] is -1, which is 1 more than the y-coordinate of [tex]$\mathbf{B}$[/tex]. This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of -1 in the y-direction. Therefore, we have:
t=(3,−1)
which means that the correct answer is [tex]$\boxed{\langle 3, -1 \rangle}$[/tex]
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Can someone help me with this three part question please? I need help ASAP
It is not a triangle.
Does given feet is a triangle or not?
The Triangle Inequality theorem states that in a triangle, , where and are shorter side lengths and is the longest side length.
Given that 5+9<15, the given side lengths do not compose a valid triangle.
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Bryan is eight years younger than two times his friend Nancy's age. The sum of their ages is greater than sixteen. What is the youngest age Nancy can be? Give your answer as a whole number. The youngest age Nancy can be is_____Year old [help ASAP]
Hi There!
Your Answer could be 8 don't trust me i might be wrong
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows:
A. Mean=
B. Standard Deviation=
The cost of parking is 5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates.
A. Mean=
B. Standard Deviation
col1 X 1 2 3 4 5 6 7 8
col2 P(X) 0. 229 0. 113 0. 114 0. 076 0. 052 0. 027 0. 031
0. 358
The mean is 24.2 and the standard deviation is 8.7.
MeanThe mean amount of revenue each car generates can be calculated by multiplying the mean number of hours parked by the cost per hour. To find the mean number of hours parked, we need to multiply each possible number of hours by its probability and add them up.
E(X) = (1 * 0.229) + (2 * 0.113) + (3 * 0.114) + (4 * 0.076) + (5 * 0.052) + (6 * 0.027) + (7 * 0.031) = 4.84 hours
So, the mean revenue is 4.84 * 5 = 24.2 dollars
Standard DeviationThe standard deviation of the revenue can be calculated by finding the standard deviation of the number of hours parked and then multiplying by the cost per hour.
SD(X) = sqrt( (1^2 * 0.229) + (2^2 * 0.113) + (3^2 * 0.114) + (4^2 * 0.076) + (5^2 * 0.052) + (6^2 * 0.027) + (7^2 * 0.031) - (4.84)^2) = 1.74 hours
So, the standard deviation of the revenue is 1.74 * 5 = 8.7 dollars.
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NEED HELP ASAP
The equation 300x + 50 = 600 represents the number of
premium tickets x and the number of discount tickets y for a horse race that can be bought with $600. If no premium tickets are purchased, how many discount tickets can be
purchased with $600?
Answer:
12
Step-by-step explanation:
Assuming that $300 and $50 are the respective cost(s) of the premium and discount tickets, if we didn't buy any premium tickets, we could afford to buy 12 discount tickets at $50 because 12($50) = $600
Please help :(
(8^x/5) (8^x/4)=8^4
The value of x in (8^x/5) (8^x/4)=8^4 is 80/9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given;
The equation;(8^x/5) (8^x/4)=8^4
LHS=(8^x/5) (8^x/4)
=(8^x/5) (8^x/4)
=8^(x/5+x/4)
=8^((4x+5x)/20)
=8^(9x/20)
Now, by comparing LHS to RHS
We will get;
9x/20=4
9x=80
x=80/9
Therefore the answer of the equation will be 80/9
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a triangle has one side that measures 1 feet and another side that measures 20 inches. wich are possible side lengths of the third side
The possible side length of the third side is 16 inches
How to determine the length of the sideIt is important to note that the Pythagorean theorem states that the square of the hypotenuse side is the sum of the square of the other two sides, they are the opposite and adjacent sides.
This is represented as;
a² = b² + c²
Given that;
a is the length of the hypotenuseb is the opposite sidec is the length of the adjacent sideNote: 1 feet = 12 inches
Substitute the values into the formula, we get;
20² = 12² + c²
Find the squares
400 = 144 + c²
collect like terms
c² = 256
Find the square root
c = 16 inches
Hence, the value is 16 inches
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PLEASE HELP:
The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2. 5% of gross, (CIT) city income tax of 1. 2% of gross, social security, and medicare. Her next monthly pay is $3,981. 22. Find Jennifer's monthly gross pay.
A) $4,529. 05
B) $4,551. 23
C) $4,576. 58
D) $4,589. 8
Jennifer's monthly gross pay will be $4,589.08
Figures used to determine Jennifer's monthly gross compensation
Calculate the overall tax percentage deductions as a first step.
Using this equation
State tax + City tax + Social Security + Medicare = Total tax percentage deductions
Let's enter the formula.
Total tax deductions as a percentage equal: 3.5% + 2.5% + 6.2% + 1.45%
Total tax deductions as a percentage equal 13.65%
Now let's calculate the monthly gross pay
Total tax percentage deductions = 2.5% +1.2% +6.2% +1.45%
Total tax percentage deductions = 11.35%
Now let's calculate the monthly gross pay
Monthly gross pay= ($3,981.22 +87)/(1-11.35%)
gross pay= ($3,981.22 +87)/0.8865
Monthly gross pay=$4,068.22/0.8865
Monthly gross pay= $4,589.08'
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annalise works out with a treadmill program that varies the amount of time she runs and walks she has the treadmill set to a walking speed of 15 minutes per mile and a running speed of 9 minutes per mile. The amount of time running and walking can be different for every workout, but she always does a total of 6 miles. (a) suppose that one day, Annalise only walks. How much time would she spend on the treadmill. show your work or explain your answer. (c) write three other combinations for running and walking rimes would she spend on the treadmill. (d) on the graph below, plot the running and walking combinations you determined in parts a, b, and c.
The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).
How to solve the problem?(a) If Annalise only walks on the treadmill, she would spend 15 minutes per mile walking. Since she does a total of 6 miles, she would spend 15 minutes/mile * 6 miles = 90 minutes on the treadmill.
(c) Here are three other combinations for running and walking times on the treadmill:
2 miles running and 4 miles walking: 2 miles * 9 minutes/mile running + 4 miles * 15 minutes/mile walking = 18 minutes + 60 minutes = 78 minutes
4 miles running and 2 miles walking: 4 miles * 9 minutes/mile running + 2 miles * 15 minutes/mile walking = 36 minutes + 30 minutes = 66 minutes
3 miles running and 3 miles walking: 3 miles * 9 minutes/mile running + 3 miles * 15 minutes/mile walking = 27 minutes + 45 minutes = 72 minutes
(d) The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).
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What are all values of x for which the graph of y = x^4 - 6x^2 + x is concave downward? Show your work and justify your answer.
Answer:
A function is concave downward if its second derivative is negative. To find the values of x for which the graph of y = x^4 - 6x^2 + x is concave downward, we need to find the values of x for which the second derivative of y is negative.
The second derivative of y = x^4 - 6x^2 + x is y'' = 12x^2 - 12x
To find the values of x for which y'' is negative, we need to find the roots of the equation 12x^2 - 12x = 0.
We can factor the equation as: 12x(x-1) = 0
which gives us x = 0 and x = 1 as the roots.
Now, we need to test the sign of the second derivative in the intervals between the roots.
In the interval (0,1)
y'' = 12x^2 - 12x is positive, therefore the function is not concave downward in this interval.
In the interval (-infinity,0)
y'' = 12x^2 - 12x is negative, therefore the function is concave downward in this interval.
In the interval (1,infinity)
y'' = 12x^2 - 12x is negative, therefore the function is concave downward in this interval.
Therefore, the values of x for which the graph of y = x^4 - 6x^2 + x is concave downward are all values of x less than 0 or greater than 1.
At a large museum, there are 60 people in each tour group. Use this information to fill in the table. Then plot the ordered pairs given by the table. Number of tour groups Number of people y60120180240300360420480540600660x12345678910110
At a large museum, there are 60 people in each tour group. so that the ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.
What is the ordered pairs?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
In order to understand a point visually, it can be helpful to position it on the Cartesian plane.
An ordered pair's numerical values may be fractions or integers.
Given that, at a large museum, there are 60 people in each tour group.
In 1 group there are 60 peoples.
In 2 group there are 2 * 60 = 120 peoples.
In 3 group there are 3 * 60 = 180 peoples.
like this the correct ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.
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a survey among tenants of shared apartments asked each tenant what percentage of the cleaning around the apartment he or she does. the survey found that aggregating the percentages for each apartment produces an average of much more than 100%. this result may be due to what bias?
The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.
The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.
In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.
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What is the domain of f(x)=^3radx+2-2
The domain of the function is the set of all real numbers
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=^3radx+2-2
Express properly
So, we have the following representation
f(x) = ∛(x + 2) - 2
The above function is a cubic function
A cubic function has no restriction on its input value
This implies that the domain is the set of all real numbers
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neil uses 41-cent stamps and 8-cent stamps to mail a gift card to a friend. if the postage is $1.95, how many of each stamp did neil use?
If Neil uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend , then the number of 41 cent stamp used is 3 and number of 6 cent stamps used is 12 .
Let number of 41 cents stamps used be = x ;
and let number of 6 cents stamps used be = y ;
converting amount 41-cents in dollars is = $0.41 ;
and converting amount 6-cents in dollars is = $0.06 ;
the amount for which Neil used 41-cent stamps , 6-cent stamps is = $1.95 ;
this situation in equation form is written as ⇒ 0.41x + 0.06y = 1.95
Multiplying on both sides by 100 , we get
⇒ 41x + 6y = 195 ;
⇒ y = (195 - 41x)/6 ;
We will test this equations for values of x and y , the number of stamps must be whole numbers .
If x = 1 , then value of y is = 25.66
If x = 2 , then value of y is = 18.833
If x = 3 , then value of y is = 12
If x = 4 , then value of y is = 5.166 .
the only value of x and y which shows a whole number as an output is : If x = 3 , then y = 12 .
Therefore , Neil used "3" 41-cents stamps and "12" 6-cent stamps .
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I need Help ASAP thanks if you do help me out!
Which is true about the function shown below between the points = 4 and x = 6?
Answer:
c. non-linear and increasing
Step-by-step explanation:
i don’t understand what i’m doing and i need help
Answer: 77 degrees
Step-by-step explanation:
Ratio of the angles = 5 : 7 : 9 = 5x : 7x : 9x
5x + 7x + 9x = 21x
180 = 21x
x = 180/21
Largest angle = 9x,
= 9 * 180/21
= 540/7
540/7 = 77.14285...
Which is rounded to 77 degrees :>
Solve for z…. Z - 1/5=7/10
Which of the following graphs has a slope of negative three halves and a y-intercept of 3?
graph of a line passing through the points 0 comma 2 and 3 comma 0
graph of a line passing through the points 0 comma 2 and 2 comma negative 1
graph of a line passing through the points 0 comma 3 and 2 comma 0
graph of a line passing through the points 0 comma 3 and 3 comma 1
The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.
The correct option is C.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
We have a graph that has a slope of negative three halves and a y-intercept of 3.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁).
A). Line passing through the points (0, 2) and (3, 0).
y - 2 = 2/3(x)
y = 2/3(x) + 2.
This is not a required line.
B). Line passing through the points (0, 2) and (2, -1).
y - 2 = -3/2(x)
y = -3/2(x) + 2.
This is not a required line.
C). Line passing through the points (0, 3) and (2, 0).
y - 3 = -3/2(x)
y = -3/2(x) + 3.
This is a required line.
D). Line passing through the points (0, 3) and (3, 1).
y - 3 = -2/3(x)
y = -2/3(x) + 3.
This is not a required line.
Therefore, y = -3/2(x) + 3 is a required line.
To learn more about the slope;
brainly.com/question/3605446
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Answer:
The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.
The correct option is C.
Step-by-step explanation:
Sophia is a student at Windsfall High School.These histograms give information about the number of hours
spent volunteering by each of the students in Sophia's homeroom and by each of the students in the tenth-
grade class at her school.
Number of Students
10
Sophia's Homeroom
0-9 10-19 20-29 30 or
more
Hours Spent Volunteering
Number of Students
70
222882
60
50
10
Tenth-Grade Class at
Windsfall High School
0-9 10-19 20-28 30 or
more
Hours Spent Volunteering
Compare the medians of the data in the histograms.
The median of the number of hours spent volunteering by each student in Sophia's homeroom is more than the median
of the number of hours spent volunteering by each student in the tenth-grade class
O The median of the number of hours spent volunteering by each student in Sophia's homeroom is less than the median of
the number of hours spent volunteering by each student in the tenth-grade class
The median of the number of hours spent volunteering by each student in Sophia's homeroom is same as the median of
the number of hours spent volunteering by each student in the tenth-grade class
O No sufficient data to compare median
The correct option regarding the median of each data-set is given as follows:
The median of the number of hours spent volunteering by each student in Sophia's homeroom is less than the median of the number of hours spent volunteering by each student in the tenth-grade class.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
For Sophia's Homeroom, the total number of students is given as follows:
4 + 9 + 3 + 7 = 23.
Hence the median is the 12th element, which is on the interval 10-19.
For the Tenth Grade class, the total number of students is given as follows:
42 + 38 + 65 + 40 = 185.
Hence the median is the element at the position (185 + 1)/2 = 93, which is on the interval 20-29.
Hence the median is the 12th element, which is on the interval 10-19.
More can be learned about the median of a data-set at brainly.com/question/3514929
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what is the solution to the equation 7.5z-2=8.5.
Answer:
z=1.4
Step-by-step explanation:
honestly, I'm not that smart so i just looked it up.
but Im pretty sure thats the right answer.