Answer: 13.5
Step-by-step explanation:
First arrange the scores in order:
5, 5, 9, 12, 15, 23, 26, 27
**remove 1st and last number in the set of scores every time**
Median of 5, 5, 9, 12, 15, 23, 26, 27=
Median of 5, 9, 12, 15, 23, 26=
Median of 9, 12, 15, 23=
Median of 12, 15 =
**Take mean of remaining two numbers**
(12+15)/2=
27/2=13.5
How can Aaron find the number of days until he posts a new article and a new podcast
on the same day?
Find the GCF of 3 and 5.
Find the LCM of 3 and 5.
PLEASE HELPPPP
The required time can be found by using the least common multiple. The waiting time is 15 days.
What is the minimum time to publish a new article and a new podcast on the same day?
In accordance with this question, Aaron publishes a new article every 3 days and a new podcast every 5 days and we need to determine the minimum period until a new article and a new podcast are published on the same time.
Greatest common factor is the maximum integer that can divided two or more integers such that an integer is found and the least common multiple is the minimum integer greater than two or more numbers are part of it. The required time can be found by using the least common multiple.
The integers 3 and 5 are prime numbers and there is no greatest common factor greater than 1 and their least common multiple is the product of the two numbers, that is, 15.
To learn more on least common multiples: https://brainly.com/question/11533141
#SPJ1
For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
for the point (16,12) find sin theta and cos theta
Answer:
sinθ = 3/5cosθ = 4/5
Given Point (16, 12) To find Sine and cosine of the angle, using the given coordinatesSolution
Since both of the coordinates are positive, we have:
the angle θ is in the first quadrant, both sine and cosine have positive values;the x-coordinate determines the value of adjacent leg;the y-coordinate determines the value of opposite leg.Find the hypotenuse of the right triangle using values of both legs:
\(h=\sqrt{ x^2+y^2}=\sqrt{16^2+12^2}= \sqrt{400} =20\)Find sine:
sine = opposite/hypotenusesinθ = 12/20 = 3/5Find cosine:
cosine = adjacent/hypotenusecosθ = 16/20 = 4/5how do you find perimeter
Answer:
Multiply the sum of the length and width by two.
Step-by-step explanation:
a certain shade of pink is created by adding 3 cups of red paint to 8 cups of white paint.
a. What is the constant of proportionality for cups of red paint per cup of white paint?
Answer:
3:8
Step-by-step explanation:
rectangle calc: find l, w=n/a, d=n/a
The length of the rectangle would be equal to the square root of 2 times "n/a".
To find the length (l) of a rectangle when you know the width (w) and the diagonal (d), you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (d) is equal to the sum of the squares of the other two sides (l and w). In this case, we're looking for the length (l), so we can rearrange the formula to solve for it:
d^2 = l^2 + w^2
l^2 = d^2 - w^2
l = sqrt(d^2 - w^2)
However, in your question, you say that the width (w) and the diagonal (d) are both equal to "n/a". This means that we don't actually know their specific values - we only know that they are the same.
So if we substitute "n/a" for both "w" and "d" in the Pythagorean theorem, we get:
(n/a)^2 = l^2 + (n/a)^2
2(n/a)^2 = l^2
l = sqrt(2)*n/a
To know more about rectangle visit:
https://brainly.com/question/32114287
#SPJ11
Part B: if D(t)=1200, find the value of t and interpret its meaning in the context of the problem.
The Chang family has been traveling for 18 hours, thus, t-value is 18.
How should t-test results be interpreted?A significant t-score, also known as a t-value, implies that the groups are distinct, whereas a small t-score suggests that the groups are similar. Degrees of freedom are the values in a study that are open to change and are crucial for determining the significance and reliability of the null hypothesis.
D(t) = 2,280 - 60t
D(t) = 1,200; find t.
D(t) = 2,280 - 60t
1200 = 2280 - 60t
From both sides of the equation, deduct 2280.
1200 - 2,280 = 2280 - 60t - 2,280
- 1080 = - 60t
multiplied by -60 on both sides
- 1080 / -60 = - 60t / -60
18 = t
t = 18
The Chang family had travelled for 18 hours, according to this.
The Chang family has been traveling for 18 hours, t = 18.
To learn more about t-value refer to:
brainly.com/question/27192813
#SPJ1
The complete question is,
Having just returned from a cross-country road vacation, the Chang family is traveling back home. They can visualize their distance from home in miles after t hours of travel by using the function D(t) = 2,280 - 60t during the journey. If D(t) = 1,200, what does t represent? That value stands for what?
A.t = 20; the Chang family has been traveling for 20 hours.
B. t = 20, meaning the Chang family will need to travel 20 more hours to reach home.
The Chang family has been traveling for 18 hours, thus c. t = 18.
The Chang family must go home for an additional 18 hours using the formula D. t = 18.
Kiss FM is giving away
free movie tickets for
every sixth caller. They
are also giving away
Applebee's gift cards to
every tenth caller.
Which caller will be the
first to receive both
movie tickets and an
Applebee's gift card?
Answer:
caller 30
Step-by-step explanation:
6+6+6+6+6 =30
10 x 3 = 30
Someone help me with this pls
Answer:
x° = 55°
Step-by-step explanation:
An exterior angle is equal to the sum of the remote interior angles:
x° = 21° +34°
x° = 55°
Give and example of an irrational number and explain how you know it is irrational.
Answer:
sqrt(2) it cannot be expressed as a fraction and is not repeating
Step-by-step explanation:
Answer:
Pi is irrational.Step-by-step explanation:
3.14...
The "..." symbol indicates that a number is 100% irrational.
Hope it helps! ✶ ✶✶
Please help I have a learning disablity and need help.
The Ramirez family drove 1,764 miles across the United States on their vacation. If it took a total of 28 hours, write a multiplication equation to find their average speed in miles per hour.
Use R
as the variable to represent their unknown average speed.
ANswer here_________________
Answer:
The answer is 63 miles per hour.
The distance (d) is multiplication of speed x and time (t):
d = x * t
d = 1,764 mi
t = 28 h
x = ?
1,764 mi = x * 28 h
x = 1,764 mi / 28 h
x = 63 miles per hour
Step-by-step explanation:
consider the function f (x, y) = 1 x2 y2. draw a contour map for f (x, y).
A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.
1. On the two-dimensional coordinate plane, create a grid.
2. Give each of the x and y coordinates a value.
3. Determine the value of f (x, y) for every pair of x and y.
4. Plot the grid points based on the values of f. (x, y).
5. To create the contour map, connect the points with equal values along a curved line.
In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
Jerry bought 4 dvds for 25. What was the unit rate ?
Answer:
The unit rate is $6.25
Step-by-step explanation:
d = cost of each dvd
4d = 25
/ 4 / 4
d = 6.25
Each dvd costs $6.25
Check your answer:
4(6.25) = 25
25 = 25
This statement is true, which makes our answer true.
Hope this helps!
Rectangle RSTU is a scaled copy of rectangle MNPQ
What is the value of x?
Answer:
7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
B . 7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
answer the question quick
Answer:
x^2 +6x -15
Step-by-step explanation:
(3x^2 +2x -8) - (2x^2 -4x+7)
Distribute the minus sign
(3x^2 +2x -8) - 2x^2 +4x-7
Combine like terms
x^2 +6x -15
Answer:
x²+6x-15
Step-by-step explanation:
We are given this expression:
\((3x^2+2x-8) - ( 2x^2-4x+7)\)
We want to simplify the expression. First, distribute the negative sign in front of the second set of parentheses. Multiply each term inside the parentheses by -1.
\((3x^2+2x-8) + (-1*2x^2) + (-1*-4x) + (-1*7)\)
\((3x^2+2x-8) -2x^2+ 4x -7\)
Next, combine like terms. The 2 terms with an x² can be combined, just like the two terms with an x, and the two terms without a variable.
\((3x^2-2x^2) + (2x+4x) + (-8-7)\)
\(x^2+(2x+4x)+(-8-7)\)
\(x^2+6x+(-8-7)\)
\(x^2+6x-15\)
The expression x²+6x-15 is equivalent to (3x²+2x-8)-(2x²-4x+7)
What are 5 values between -6 and -7?
Please help me!! I WILL give brainliest!!
Answer:
-6.1,-6.2,-6.3,-6.4-6.5
Step-by-step explanation:
Trust
Answer:
-6.2, -6.3, -6.4, -6.5, -6.6
Occasionally, students ask if I "grade on a curve." By this, they usually mean, do I add extra points to everyone's test scores if the whole class does poorly. The phrase "grading on a curve" really means to assign grades based on a normal distribution. Assume I give a test with a mean score of 81 and a standard deviation of 12. Draw a sketch of a normal distribution centered at the mean of 81 and divide it into 5 regions based on the following grades: The top 15% of scores receive an A. The next 20% of scores receive a B. The middle 30% of scores receive a C. The next 20% of scores receive a D. The bottom 15% of scores receive an F
a. Find the minimum scores on the test that would give a student an A, B, C and D. There is no "lowest" F other than 0.
b. Repeat the procedure from part a with a test having a mean of 71 and a standard deviation of 15.
Yes. I've received grades that follow the "curve" for many of my classes. After a test or assignment, student scores are adjusted when grading is done on a curve. The curve typically improves both the overall average grade and individual student scores. Some professors fully avoid curves while others utilize a variety of techniques.
By combining numerous payment cards through a mobile app, Curve (also known as the Curve card) is a payment card that enables users to make purchases and withdrawals with just one card. After each transaction is over, you can "swap the bank card you paid with." This function was dubbed "Back in time" by Curve. Shachar Bialick launched Curve in 2015; it is the company that issues the card as well as owns and runs the business. In December 2015, the business obtained $2 million in startup capital. In February 2016, an open beta for iOS users in the "enterprise community" was released. Customers were informed by Curve in May 2016 that Curve will no longer be able to support American Express after May 31, 2016, and they were given refunds.
Learn more about curve here
https://brainly.com/question/26430220
#SPJ4
uh. I don't understand this at all
Answer: BCD
Step-by-step explanation:
A is incorrect since there is no angle Y to exist
Hope this helps
please help me quick with it
Answer:
is there any examples/
Step-by-step explanation:
A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
What is the volume of a medium box? Show your work.
Ratios
Sides:
Area:
Volume:
What are the ratio of the small box to the medium box?
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?
The number of additional gigabytes would the two companies charge the same amount is 6
What represents the gigabytes beyond 3 gigabytes?
The number of gigabytes beyond 3 can be represented as X-3,in other words, X is the total gigabytes
Company A:
TC=20.40+(X-3)*9.80
TC=20.40+9.80X-29.40
Company B:
TC=18.60+(X-3)*10.10
TC=18.60+10.10X-30.30
At the point where additional gigabytes are the same, the companies charge the same amount
20.40+9.80X-29.40=18.60+10.10X-30.30
20.40-29.40-18.60+30.30=10.10x-9.80x
2.70=0.30X
X=2.70/0.30
X=9(total gigabytes)
additional gigabytes=X-3
additional gigabytes=9-3
additional gigabytes=6
Find out more about total cost on: brainly.com/question/20694892
#SPJ1
. Lois's house sits in the middle of her lot.
The lot is shaped like a trapezoid. Except
for the house and driveway, her lot is
covered with grass. How many square feet
of grass are on the lot?
80 ft
75 ft
20 ft
9 ft
50 ft
House
25 ft
Driveway
120 ft-
There are 2375 square feet of grass on Lois's lot.
To calculate the area of the grass on the lot, first calculate the area of the entire trapezoidal lot and then subtract the area of the house and driveway.
Let's call the trapezoid's top base "a," its bottom base "b," and its height "h." Then we can apply the formula for trapezium area, which is:
A = (a+b)/2 * h
We can see from the diagram:
a = 80 ft
h = 75 ft
b = 120 ft - 25 ft (driveway length) - 25 ft (house length) = 70 ft
As a result, the total area of the property is:
A lot = (80 ft + 70 ft)/2 * 75 ft = 5250 sq ft
According to the diagram, the width is 25 feet and the length is 35 feet. As a result, the house's area is as follows:
A house = 25 ft * 35 ft = 875 sq ft
A driveway = 25 ft * 80 ft = 2000 sq ft
As a result, the area of grass on the lot is:
A grass = A lot - A house - A driveway = 5250 sq ft - 875 sq ft - 2000 sq ft = 2375 sq ft
As a result, there are 2375 square feet of grass on the lot.
To know more about Area of Trapezoid visit:
https://brainly.com/question/21025771
#SPJ1
witch expression is equivalent to 2(t-4)+1
Answer:
2(t-4)+1
2t-8+1
2t-7
How many different fourb letter permutations can be formed from the letters in the word
“triangle”?
Answer: Hence we have 6 × 3 = 18 words of this type. Therefore, using the equation (i), (ii) and (iii). Total words with 4 letter are : 1680 + 756 + 18 = 2454 ∴ 2454 different permutations can be formed from the letter of the word EXAMINATION taken four at a time.
We collect the impact strength of five pieces of steel. Let "X" be their strengths in foot-pound/inch. Table 1: Impact Strength (ft-lb/in) 1 1 2 3 4 5 5 Point Values 55 56 55 50 46 O pt x-X 2.6 ✓ 3.6 2.6 -2.4 -6.4 0.5 pt each 0.5 pt cach 6.76 12.96 6.76 5.76 40.96 Note: Carry at least 5 decimal precision for any intermediate calculations. Then, for all numeric entries, round your answer to 3 decimal precision - Leading Os don't count : 3 Part 1: (a) Fill in the missing table cells. (b) The Sum of Squares equals: 73.2 C) This variance equals: 18.3 D) The standard deviation equals: 4.278 E) The deviation for the first observations equals: 2.6 F) The Z-score for the fifth observation equals: -1.4961 Z- Part 2: We wish to convert from foot-pound/in to l/m, so let y be the strength in J/m. There is 1 ft-lb/in for every 53.35 J/m. Note that if Y = a*X+b, then y = a*x + b and sy = 32*sx G) - H) s2y = I) Sy = J) The Z-score for the fifth transformed observation is:
Part 1:
(a) Fill in the missing table cells:
Table 1: Impact Strength (ft-lb/in)
1 1 2 3 4 5 5
Point Values
55 56 55 50 46
(b) The Sum of Squares equals: 73.2
(c) This variance equals: 18.3
(d) The standard deviation equals: 4.278
(e) The deviation for the first observation equals: 2.6
(f) The Z-score for the fifth observation equals: -1.4961
Part 2:
We wish to convert from foot-pound/in to J/m, so let y be the strength in J/m. There is 1 ft-lb/in for every 53.35 J/m.
G) -
H) s2y =
I) Sy =
J) The Z-score for the fifth transformed observation is:
Part 1:
(a) The missing table cells are not provided in the question.
(b) The Sum of Squares is calculated by summing the squares of the deviations of each data point from the mean. Since the values are not provided, we cannot calculate the Sum of Squares.
(c) Variance is the average of the squared deviations from the mean. It is calculated by dividing the Sum of Squares by the number of data points. In this case, the variance is given as 18.3.
(d) Standard deviation is the square root of the variance. It is calculated as the square root of the variance. In this case, the standard deviation is given as 4.278.
(e) The deviation for the first observation is provided as 2.6. It represents the difference between the first observation and the mean.
(f) The Z-score for an observation is a measure of how many standard deviations it is away from the mean. The Z-score for the fifth observation is given as -1.4961.
Part 2:
In order to convert from foot-pound/in to J/m, we need to use the conversion factor of 1 ft-lb/in = 53.35 J/m.
G) - The missing value is not provided in the question.
H) The variance of the transformed variable, y, can be calculated by multiplying the variance of the original variable, x, by the square of the conversion factor (a^2). However, since the variance of x is not provided, we cannot calculate s2y.
I) The standard deviation of the transformed variable, y, can be calculated by multiplying the standard deviation of the original variable, x, by the absolute value of the conversion factor (|a|). However, since the standard deviation of x is not provided, we cannot calculate Sy.
J) The Z-score for the fifth transformed observation can be calculated by subtracting the mean of the transformed variable from the fifth transformed observation and then dividing it by the standard deviation of the transformed variable.
However, since the mean and standard deviation of the transformed variable are not provided, we cannot calculate the Z-score.
To know more about Strength (ft-lb/in), refer here:
https://brainly.com/question/31309343#
#SPJ11
Can someone please professionally explain the math equations below. (Not just answer the question)
Solve the system of linear equations.
2x - y = -8
-5x + y = 26
I will mark as brainliest!
Step-by-step explanation:
We will solve this system of equations using two methods: elimination and substitution.
Method 1: Elimination
2x - y = -8. #1
-5x + y = 26. #2
Note that by adding these two equations, the y-variable is eliminated (thus the name) and you're only left with an equation with one variable. So upon adding, we get
-3x = 18 or x = -6
Using this value for x, put this back in either one of the equations. Let's use the 2nd one.
-5(-6) + y = 26
--> 30 + y = 26
Moving 30 to the right side, we get y = -4.
Method 2: Substitution
This is done by isolating one variable to the left side in one equation and then using it on the other equation. Let's take equation #2 and put the y-variable on the left side and you should get
y = 5x + 26
Now use this equation and plug it into the y in equation #1:
2x - (5x + 26) = -8
--> 2x - 5x - 26 = -8
--> -3x = 26 - 8 = 18 or x = -6.
Use this value for x into either one of the equations. Let's use equation #1 this time.
2(-6) - y = -8
--> -12 + 8 = y or y = -4.
Notice that using either method will give you the same result, as one might expect.
Can you conclude that A = B if A, B, and C are sets such that
A ∪ C = B ∪ C, A ∩ C = B ∩ C, A ∪ C = B ∪ C , A ∩ C = B ∩ C
Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.
This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.
To know more about intersection visit:
https://brainly.com/question/12089275
#SPJ11
Solve the equation. 4y = 12
Answer:
y = 3Step-by-step explanation:
Given equation:
4y = 12To solve the equation, the L.H.S must be equivalent to the R.H.S. To prove that L.H.S is equivalent to R.H.S, we have to know the value of "y".
The value of the y variable can be found by isolating the variable from its coefficient. In this equation, the y-variable can be isolated by dividing both sides by four. This cancels the coefficient, isolating the y-variable on one side of the equation.
⇒ 4y = 12⇒ 4y/4 = 12/4 (Dividing both sides by 4)Once the y-variable has been isolated, we can simplify the other side of the variable. The expression/variable/number obtained, on the other side of the equation, is the value of the y-variable.
⇒ y = 12/4 (Isolating the y-variable)⇒ y = 3 (Simplifying the R.H.S)Therefore, the value of y is 3.
Learn more about equations: https://brainly.com/question/27688114
Hey there!
4y = 12
DIVIDE 4 to BOTH SIDES
4y/4 = 12/4
SIMPLIFY IT!
y = 12/4
y = 3
Therefore, the answer should be: y = 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the value of each variable. Please help son having trouble with geometry.
Answer:
z= 63 degrees
x≈16
Step-by-step explanation:
90+27=117
180-117=63 (bc all angles in a triangle have to add up to 180)
so the angle opposite from the 27 is 63 degrees.
Because of opposite interior angles, z=63.
sin 63= \(\frac{14}{x}\)
xsin63=14
x=\(\frac{14}{sin63}\)
x≈16
( 7x 100) +(5 x 1) +( 8 x 1/10)+( 1x 1/100) why is it not equivalent to 75.81
Step-by-step explanation:
It is NOT equal to 75.81. The correct answer is 705.81
This is because you first multiply each parenthesis then add them together.
So, it would be: 700 + 5 + 0.8 + 0.01= 705.81 not 75.81.
Which expression(s) are equivalent to: x 3/4
Answer:
B and D
Step-by-step explanation:
Hi im new here :3
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is A.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Using the different exponential properties, the value of the expression \(x^{\frac34}\) can be written as,
\(x^{\frac34}\)
Using the exponential property, \(x^{ab} = (x^a)^b\),
\(= (x^3)^{\frac14}\)
Using the exponential property, \(x^{\frac1b} = \sqrt[b]x\),
\(= \sqrt[4]{(x^3)}\\\\= \sqrt[4]{x^3}\)
Hence, the correct option is A.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2