The median of the data sets 10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32 is 21.
How to find median?The Median is the "middle" of a sorted list of numbers. In other words, Median, in statistics, is the middle value of the given list of data when arranged in an order.
Therefore, let's find the median of the data sets.
Firstly, we have to sort the data in ascending order before we can find the median in the data set.
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32
Hence, the sorted data set is 10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32.
Therefore,
median = 21
learn more on median here: https://brainly.com/question/29150855
#SPJ1
Zehra owns a bakery and is getting ready for the Thanksgiving rush. She needs to stock up on pumpkin pie filler to be able to meet demand, so she begins buying a constant number of cans of pumpkin pie filler per week. After 5 weeks, she has 29 cans. After 9 weeks, she has 57 cans. How many cans is she buying per week?
Based on the rate of change, Zehra is buying 7 cans per week.
What is the rate of change?The rate of change gives the ratio between the change in one quantity to the change in another quantity.
Linear relationships have a constant rate of change and the rate of change is usually represented as the slope or gradient.
For instance, the number of cans changed from 29 to 57, a difference of 28, as the number of weeks changed from 5 to 9, a difference of 4.
The rate of change can be expressed as 28/4 or 7.
The number of cans after 5 weeks = 29
The number of cans after 9 weeks = 57
The change in weeks = 4 (9 - 5)
The change in the number of cans = 28 (57 - 29)
The rate of change = 7 (28/4)
Thus, we can conclude that Zehra buys 7 cans weekly.
Learn more about the rate of change at https://brainly.com/question/25184007
#SPJ1
Find the circumference of a circle with an area of 676πsquare millimeters. Leave your answer in terms of pi,
Answer:
Below
Step-by-step explanation:
Area = pi r^2
r = sqrt ( area/pi) = sqrt( 676 ) = 26
Circumference = pi d = 2 pi r = 2 pi (26) = 163.4 mm
If 1.5 liters of washing up liquid is 2.70$ find the cost of 1 liter
The cost of one liter of washing up liquid would be = $1.8
What is liters?Liters is a variable that is can be used to denote the measurement of a liquid.
The quantity of the washing up liquid that was given= 1.5 liters.
The cost of 1.5 liters of washing up liquid =$2.70
If 1.5 L = 2.70
1 L = X
Make X the subject of formula;
X = 1× 2.70/1.5
X = $1.8
Therefore, the cost of one liter of washing up liquid would be = $1.8
Learn more about liters here:
https://brainly.com/question/25964777
#SPJ1
Inequality
x + y > 11
.05x + .10y < .95
the inequality model will be x+2y<19
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
x + y > 11
.05x + .10y < .95
by multiplying 20 in inequality we get x+2y<19
Hence, the inequality model will be x+2y<19
Learn more about inequality here:
brainly.com/question/14098842
#SPJ1
rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?
a. 2w^2+5W,where w is the width
b. 2w^2+5,where w is the width
c. 2w^2,where w is the width
d. 10w^2,where w is the width
The carbinet has rectangular floor plan where the length is equal to 5 feet more than twice the width. The the expression that represents the area in square feet is Option B 2w²+5. ∧where w is the width
How to calculate Area of rectangle?The area of the rectangle is the floor space the rectangle can occupy at a given time.
The given parameters are
L= 2w+5
The width = w
Then area is given by the formula
A=L*W
A=2w*w+5
Simplify the expression you have
A=2w²+5 where w is the width
Therefore the area is b. 2w²+5, where w is the width
Learn more about area of rectangle on https://brainly.com/question/20693059
#SPJ1
2. The basic advertising package has a value of $1,000
and the premium package has a value of $2,500. The
goal of the agency is to sell more than $60,000 worth
of small-business advertising packages.
If you know that exactly 10 premium packages were
sold, what can you say about the number of basic
packages the agency needs to sell to meet its goal?
1000b + 2500p = 60,000
1000b + 2500(10) = 60,000
1000b + 25000 = 60,000
1000b = 35,000
b = 35
they need to sell 35 basic packages to reach their goal of 60,000 dollars
If a plane can travel 480 miles per hour with the wind and 380 miles per hours against the wind, find the speed of the wind and the speed of the plane in still air
Answer:
Step-by-step explanation:
I am not super sure about this one
an irs auditor randomly selects 3 tax returns from59returns of which7contain errors. what is the probabilitythat she selects none of those containing errors?
Therefore , the probability that she selects none of those containing errors is 0.6798.
What does probability really mean?Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.
Here,
Number of ways of selecting 3 returns out of 59 is C(59,3).
Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).
The probability that she selects none of those containing errors is
P( No errors )=[tex]\frac{C(52,3)}{C(59,3)}[/tex]=0.6798
Therefore , the probability that she selects none of those containing errors is 0.6798.
To know more about probability , visit
brainly.com/question/11234923
#SPJ4
A) Q''(−5, 6), R''(−2, 1), S''(1, 5)
B) Q''(7, 11), R''(10, 16), S''(13, 12)
C) Q''(−5, 2), R''(−2, 7), S''(1, 3)
D) Q''(13, 2), R''(10, 7), S''(7, 3)
The correct answer is C.
what is the z-score of a value 20 from a binomial distribution with 50 trials and probability 0.76 of success? round your answer to three decimal places. incorrect answer:
z-score of a value is -5.96
What is z-score in binomial distribution?
The Z score represents the number of standard deviations above or below the mean. The Z score of the mean is 0 by definition.
What is Probability?
The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.
Given,
A random variable, let's call it X, has parameters that fit the Binomial distribution: n (number of trials) = 50 and p (success probability) 0.76.
We must ascertain the z-score (Z) of the value 20 = that this random variable X has chosen.
Now, for a random variable, say X, its z-score (Z) is defined as ,
Z = (X - mean of X)/ Standard deviation of X
A binomial random variable with the parameters once more n and p, its mean is given as np and its standard deviation is given as [tex]\sqrt{n*p*(1-p)}[/tex]
The standard deviation of X is provided as [tex]\sqrt{50*0.76*0.24}[/tex] = [tex]\sqrt{9.12}[/tex] = 3.0199933 while the mean of X is given as 50*0.76 = 38.
Therefore, the required z-score (Z) for X = 20, is given as,
Z = 20-38/3.0199933
Z= -5.9602781238
Z= -5.96 that is the necessary z-score.
To learn more about z-score visit:
brainly.com/question/15016913
#SPJ4
1. Which of the following is equivalent to 5a³ + 4a³??
O (5+4) a³+3
O (5+4) a³
(5.4) a³+3
O (5.4) a³
ہے
The equivalent to 5a³ + 4a³ is (5+4) a³, according to the question.
What do you mean by Equivalent ?
Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.
According to the given question,
We have the given options are:
O (5+4) a³+3
O (5+4) a³
O (5.4) a³+3
O (5.4) a³
Now, we will find the equivalent,
5a³ + 4a³
Then, we will taking common factor from the given equation:
5a³ + 4a³
= a³(5+4)
So that is same as (5+4)a³.
Therefore, the equivalent to 5a³ + 4a³ is (5+4) a³.
To learn more about equivalent, visit:
https://brainly.com/question/14672772?referrer=searchResults
#SPJ1
Graph Y= -1/4 x + 6.
The x-intercept and y-intercept of the line will be at (24, 0) and (0, 6). And the line is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The linear equation is given below.
y = -(1/4)x + 6
Convert the equation into intercept form, then we have
y = -(1/4)x + 6
4y = - x + 24
x + 4y = 24
x / 24 + y / 6 = 1
The x-catch and y-capture of the line will be at (24, 0) and (0, 6) and the line is drawn underneath.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ1
What does y equal, in this picture with 30 60 90 triangles?
The value of y= 5.49≈ 5.5cm
What is 30-60-90 traingle?
The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.
By 30-60-90 triangle rule,
Side across 60° angle = x
Hypotenuse side = 2x= 15
Side across 30° angle = x√3
By solving,
2x= 15
x= 7.5cm
So side across 60° angle= 7.5 cm
Side across 30° angle = 7.5×√3
= 7.5× 1.732= 12.99≈ 13cm
As the figure given us square so,
13= 7.5+y
y= 13-7.5
y= 5.5 cm
To know more about 30-60-90 triangle:
https://brainly.com/question/11751274
#SPJ1
y= 1/2x + 1
y=-x + 7
Answer: point form: (4,3) equation form: x=4 y=3
Step-by-step explanation:
A groundskeeper needs grass seed
to cover a circular field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound of grass seed covers about 400 square feet
of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Explain or show your reasoning.
The smallest number of bags to cover the circular field is 3.0 pounds.
Area of a circle.
A circle is a shape that has a curved sides referred to as a circumference. Its area can be determined by;
Area of a circle = [tex]\pi r^{2}[/tex]
where r is the radius of the circle
So that,
the radius of the circular field = 290/ 2
= 145 feet
The area of the circular field = [tex]\pi r^{2}[/tex]
= 22/7 x (145)(145)
The area of the circular field = 66078.57 square feet.
Given a bag has a capacity of 50 pounds, and that one pound of grass seed covers about 400 square feet.
Then,
total pounds in a bag = 50 x 400
= 20000 pounds
the number of bags of grass seed needed = 66078.57 / 20000
= 3.304
The number of bags of grass seed needed = 3.30
Thus, the smallest number of bags the groundskeeper must buy to cover the circular field is 3.0 bags.
Learn more about area of a circular field at https://brainly.com/question/29131406
#SPJ1
fast as you can. point slope form. algebra 1)
Answer: Y=mx+b
Step-by-step explanation:
if a point is characterized as having both a nonzero x and y coordinate and oppositely signed coordinates, then the point must be in which of the labeled quadrants in the standard xy coordinate plane?
The labeled quadrants in the standard xy coordinate plane is Quadrant II
What is Quadrants?
The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.
Concept:
The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.
The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).
The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.
The labeled quadrants in the standard xy coordinate plane is Quadrant II
To learn more about Quadrant visit:
brainly.com/question/7196312
#SPJ4
If f(x) = 3x-1 and g(x) = x^2+2, what is (f ° g)(x)?
Answer:
(f ○ g)(x) = 3x² + 5
Step-by-step explanation:
substitute x = g(x) into f(x) , that is
(f ○ g)(x)
= f(g(x))
= f(x² + 2)
= 3(x² + 2) - 1
= 3x² + 6 - 1
= 3x² + 5
Solve the inequality, show all of your work: -5x + 2 > 37
Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
First subtract 2 from both sides.
[tex]-5x+2-2 > 37-2[/tex]
[tex]-5x > 35[/tex]
Then divide both sides by -5.
[tex]\frac{-5x}{-5} > \frac{35}{-5}[/tex]
For x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their sizeGiven is the inequality as follows -
- 5x + 2 > 37
The given inequality is -
- 5x + 2 > 37
- 5x + 2 > 37
- 5x + 2 - 2 > 37 - 2
- 5x > 35
x < - 7
Therefore, for x < - 7, the inequality {- 5x + 2 > 37} is satisfied.
To solve more questions on graphing inequalities, visit the link below -
brainly.com/question/29061217
#SPJ2
Frank gets a Lamborghini for Christmas from Bill Nye for $225,000. Frank crashes the Lamborghini and survives. But his car is damaged. His repairs will cost 55% of the original price, but 30% of the price is covered by insurance. How much money does Frank owe?
Answer: Frank has to pay 56,250 dollars
Step-by-step explanation: If Frank's repair costs 55% of the original price, that means he'll have to pay 123,750 dollars because 55% of 225,000 is 123,750. But he doesn't have to pay that amount because the car insurance is paying 30% of 225,000 which is 67,500 dollars. So the car insurance is paying 67,500 dollars out of the 123,750 dollars in damage. So you'll have the subtract 123,750 by 67,500 which is 56,250 dollars.
Identify the rate of decay r (as a percent) of the exponential function f(x) = 0.3(0.82)^x
a. r = 30%
b. r = 18%
c. r = 70%
d. r = 82%
Answer:
b. r = 18%
Step-by-step explanation:
0.3(0.82)^x:
0.3(0.82)^x:
The 0.82 is getting affected since it is raised to the power of x
Hence, for every iteration of x, the object is becoming 82% of itself.
100%-82%=18%
r = 18% ==> b
Option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential function f(x) = 0.3(0.82)^x can be written in the form f(x) = a(b)ˣ, where a = 0.3 and b = 0.82.
In an exponential function of the form f(x) = a(b)ˣ
the base b represents the rate of change.
If b is between 0 and 1, then the function represents exponential decay. The rate of decay r can be found using the formula:
r = (1 - b) x 100%
In this case, b = 0.82, so the rate of decay is:
r = (1 - 0.82) x 100%
= 0.18 x 100%
= 18%
Hence, option B is correct, 18% is the rate of decay of the exponential function f(x) = 0.3(0.82)ˣ
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ2
Which statement can you conclude is true from
the given information?
Given: AB is the perpendicular bisector of IK.
( please help me , answers my questions )
As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.
What is perpendicular bisector?A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.
What is the perpendicular of two points?A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.
Option J can not be true as A can not be the midpoint of IK as A is not on IK. Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.
Option H i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.
Option G i.e m∠IAJ also does not true necessarily true. The reason is simple i.e AJ is arbitrary.
So, Option f i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ is true.
To learn more about perpendicular bisector visit the link:
https://brainly.com/question/11900712
#SPJ1
As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.
What is perpendicular bisector?
A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.
What is the perpendicular of two points?
A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.
Option J can not be true as A can not be the midpoint of IK as A is not on IK. Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.
Option H) i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.
Option G) i.e m∠IAJ also does not true necessarily true. The reason is simple i.e AJ is arbitrary.
So, Option f) i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ is true.
To learn more about perpendicular bisector visit:
brainly.com/question/11900712
#SPJ1
Sin 30° x tan 60° in simplest form
The simplest form of Sin 30° x tan 60° is √3/2 or sin 60° or cos 30°.
What are trigonometry ratios?
Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).
Given that the trigonometry function is
sin 30° x tan 60°
Putting sin 30° = 1/2 and tan 60° = √3
= (1/2) ×√3
= (1/2) ×(√3/1)
Now multiply the denominators and numerators:
= √3/2
Putting √3/2 = sin 60°
= sin 60°
Again sin 60° = cos 30°
= cos 30°
To learn more about trigonometry, click on below link:
https://brainly.com/question/3215573
#SPJ1
A music store marks up the instruments it sells by 50%. If the mark up price on the trumpet was $120, what was the ORIGINAL PRICE of the instrument?
The original price of the instrument is $60.
Discount Price:
50% of 120 = 50/100 * 120
= 0.5 * 120
= 60
Original Price = Sale Price - Discount Price
= 120 - 60
= 60
Therefore, the original price of the instrument is $60.
To know more about the Original price, please refer to the link below:
brainly.com/question/18660010
Enter the measurement of the vehicle part.
Answer:
2 1/4
Step-by-step explanation:
I know bc its basic math
Katrin estimated that she sold 40 sandwiches at her food truck during lunch. Later, a count showed that she actually sold 44. Find Katrin's percent error to the nearest tenth.
Answer:
10%
Step-by-step explanation:
percent error: p
44 - 40 = 4
4/40 × 100 = p
p = 0.1 × 100
p = 10%
Percent error is 10%
How can we use the formula M= 58h + 135 to determine the mile marker that Sam passed at hour 6
Sam passed the marker of 483 miles, in 6 hours.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
An expression is given as M = 58h + 135. shows how many miles the same has traveled for h hours,
To evaluate the mile marker that sam passed at 6 hours, substitute the value with h in a given expression.
M = 58×6 +135
Simplifying the above expression gives the mile marker
M = 483 miles
Thus, the required miles are 483.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ1
the table shows the number of stickers three friends have, Hannah has fewer stickers than Marco but more stickers than Addison. how many stickers could Hannah have?
Write and equation of the line in slope-intercept form. (0,-2) (1,3)
Answer:
y=5x−2
I hope this helps!
If you roll a fair die, what is the probability you will roll a 5 or a number less than 3?
Answer:
1/2
Step-by-step explanation:
Since 5 is one of the six possible numbers available, rolling a 5 is a 1/6 probability.
Since rolling a number less than 3 means rolling a 1 or 2, rolling a 1 or 2 is a 2/6 probability.
Add those probabilities up since you can get either of those outcomes and you get 1/6+2/6=3/6
3/6=1/2