The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York: Maximum Minimum Q1 Q3 IQR Median Mean σ Rome 16 0 3 13 10 8.5 8 5.4 New York 20 1 4.5 6 1.5 5.5 7.25 5.4 Which of the choices below best describes how to measure the center of this data? Both centers are best described with the mean. Both centers are best described with the median. The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.
Final answer:
The center of a data set can be measured using the mean or the median. In this case, the Rome data center is best described by the mean, while the New York data center is best described by the median.
Explanation:
The center of a data set can be measured using two common ways: the mean and the median. The mean is found by adding up all the values and dividing by the total number of observations. The median is the middle value, or the number that separates the data into two equal halves. It is generally a better measure when there are extreme values or outliers.
In this case, based on the information provided, the Rome data center is best described by the mean, while the New York data center is best described by the median.
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm. What is the distance the hula hoop rolls in 44 full rotations? Round your answer to the nearest \text{cm}cm.
To find the distance the hula hoop rolls in 4 full rotations, we calculate the circumference as 2πr and then multiply by 4. The total distance is then rounded to the nearest centimeter, resulting in 880 cm.
The question asks us to calculate the distance a hula hoop travels in 4 full rotations given its radius. The distance traveled in one rotation is equal to the circumference of the hoop.
To find the circumference, we use the formula C = 2πr, where r is the radius. Since the radius is given as 35 cm, the circumference is 2π×35 cm. To find the total distance for 4 rotations, we multiply the circumference by 4. This gives us 4×2π×35 cm. Using the approximate value of π (3.1416), we can calculate the distance, and then round it to the nearest centimeter.
Circumference C = 2π×35 cm = 219.91 cm
Total distance for 4 rotations = 4×C = 4×219.91 cm = 879.64 cm
Rounded to the nearest centimeter: 880 cm
Teresa makes brownies in the oven for 55 minutes. She checks on the brownies after 36 minutes. How much longer do the brownies need to bake?
Answer:
19 minutes.
Step-by-step explanation:
55-36=19.
For this case we have to indicate how much time the brownies are needed to bake, knowing that 55 minutes are given and Teresa reviewed them after 36 minutes.
For this we subtract:
[tex]55 \ minutes-36 \ minutes = 19 \ minutes[/tex]
So brownies have 19 minutes to bake
Answer:
19 minutes
Which value is equivalent to 40%
Answer:
Step-by-step explanation:
The answer to your question is 2/5,0.4,4/10,
What is 1/3 of 24???????
Answer: 8?
Step-by-step explanation:
What is 3.27 × 10−4 in standard form? A: 0.0000327
B: 0.000327
C: 0.0327
D: 3,270
Answer:
b
Step-by-step explanation:
3.27 Times 10⁻⁴ in standard form is 0.000327. This is found by moving the decimal point in 3.27 four places to the left, resulting in the number 0.000327.
The number 3.27 TImes 10⁻⁴ into standard form.
To do this, we move the decimal point four places to the left, because the exponent on the 10 is negative four.
So, starting with the number 3.27, we move the decimal point to the left four times, which introduces three zeros after the decimal point and before the 327.
The correct answer is B: 0.000327.
This means that 3.27 times 10⁻⁴ is equivalent to 0.000327 when written in standard form.
A scale drawing of a square has side length of 2 inches the drawing has a scale is 1in:9mi find the actual perimeter and area of the square
The solution is: Area of actual Patio is: 170 ft²
Given:
Patio drawing of 4.25 in by 2.5 in
Scale of Patio to its drawing = 4ft to 1 in
Requires:
Area of actual Patio
SOLUTION:
Area of actual Patio = area of a rectangle = length × width
Given a scale drawing of 4ft to 1 in, therefore:
Length of actual Patio = 4.25 × 4 = 17 ft
Width of actual Patio = 2.5 × 4 = 10 ft
Therefore:
Area of actual Patio = 17 ft × 10 ft = 170 ft²
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complete question:
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the area of the actual patio?
The sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number what are the two numbers
So for this, we will be setting up a system of equations with the information we have:
[tex]x+y=13\ \textsf{"The sum of two numbers is 13."}\\2x-3y=1\ \textsf{"Two times the first number minus three times the second number is 1."}[/tex]
Now we have our system of equations set up. Next, I will be using the substitution method to solve this system. So firstly, subtract y on both sides of the first equation:
[tex]x=13-y\\2x-3y=1[/tex]
Now, substitute x for (13 - y) in the second equation and solve for y as such:
[tex]2(13-y)-3y=1\\26-2y-3y=1\\26-5y=1\\-5y=-25\\y=5[/tex]
Now that we have the value of y, substitute it into either equation to solve for x:
[tex]x+5=13\\x=8\\\\2x-3(5)=1\\2x-15=1\\2x=16\\x=8[/tex]
Answer:In short, the first number (x) is 8 and the second number (y) is 5.
Please help explain
Scott works as a delivery person for a shipping company. The graph shows a linear model for his delivery times on different days.
(a)What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation.
(b)Based on the linear model, predict how long it initially took Scott to deliver his packages. Approximately how much did his delivery time decrease per day?
Answer:
y-12= -3(x-6) (point slope form)
y = -3x + 30 ( slope intercept form)
Initial delivery time = 30 minutes
delivery time decreases 3 minutes per day
Step-by-step explanation:
To find equation of line we pick two points from the graph
(3,21) and (6,12)
Point slope form of a line is y-y1= m(x-x1)
m is the slope and (x1,y1) is the point on graph
Lets find out slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{12-21}{6-3} =-3[/tex]
(x1,y1) is (6,12)
Point slope form of a line is y-y1= m(x-x1)
y-12= -3(x-6) (point slope form)
Now we solve for y to get slope intercept form
y-12 = -3x +18
Add 12 on both sides
y = -3x + 30 ( slope intercept form)
(b) To find initial time we plug in 0 for x
y = -3x + 30
y= -3(0) + 30
y=30
Initial delivery time = 30 minutes
Slope is the delivery time decreases per day
We got slope m = -3
So delivery time decreases 3 minutes per day
Answer:
well basically y-12= -3(x-6) (point slope form)
y = -3x + 30 ( slope intercept form)
Initial delivery time = 30 minutes
delivery time decreases 3 minutes per day
Step-by-step explanation:
To find equation of line we pick two points from the graph
(3,21) and (6,12)
Point slope form of a line is y-y1= m(x-x1)
m is the slope and (x1,y1) is the point on graph
Lets find out slope m
(x1,y1) is (6,12)
Point slope form of a line is y-y1= m(x-x1)
y-12= -3(x-6) (point slope form)
Now we solve for y to get slope intercept form
y-12 = -3x +18
Add 12 on both sides
y = -3x + 30 ( slope intercept form)
(b) To find initial time we plug in 0 for x
y = -3x + 30
y= -3(0) + 30
y=30
Initial delivery time = 30 minutes
Slope is the delivery time decreases per day
We got slope m = -3
So now we can say that the delivery time decreases 3 minutes per day! Hope this helps :)
Step-by-step explanation:
What is the value of the expression? (−3)3+6312 Enter your answer in the box.
the value of the expression is approximately - 25.4349.
To find the value of the expression (- 3)³ + 6⁽³/¹²⁾, we follow the order of operations. First, we evaluate the exponentiation:
(- 3)³ = (- 3) × (- 3) × (- 3) = -27
Next, we simplify the second term:
6⁽³/¹²⁾ = 6⁽¹/⁴⁾ = √( √6) ≈ 1.5651
Finally, we add the two results:
(- 3)³ + 6⁽³/¹²⁾ = - 27 + 1.5651 ≈ - 25.4349
So, the value of the expression is approximately - 25.4349. The explanation highlights the steps of evaluating the exponentiation and simplifying the second term before performing the addition to get the final result.
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What is the sixth term in the addition pattern that begins with 15,29,43,57?
A)61
B)71
C)85
D)99
Answer:
C is your answer
Step-by-step explanation:
Add every number by 14
Can someone please help me with this question?
Answer:
A Jones has the best plus minus record
Step-by-step explanation:
The player wants the most "negative" score, which means he was one the ice when his team scored the most points and off the ice when his team was scored upon.
Answer:
11. a. See below. b. E. Simpson
Step-by-step explanation:
11. a. Graphing on the number line
You did a great job on this.
I just used red dots to make them more visible.
===============
11. b. Best plus-minus record
The player with the best plus-minus record is E. Simpson.
His plus-minus record of +9 means that his team has scored more often when he is on the ice than any other player.
A juice company sells its product in either a 48-ounce size or a 32-ounce size. It charges $\$3.90$ for the 48-ounce size. How much should it charge for the smaller size if it wants the price per ounce to be $25\%$ more than the price per ounce of the larger size?
Answer:
The company should charge $ 3.25 for the smaller size.
Step-by-step explanation:
The price per ounce of the 32-ounce product is required to be 25% greater than the larger-sized product.
We know that for the size of 48 ounces the price is $ 3.90
So, the price per ounce is:
[tex]\frac{3.90}{48}[/tex]= $ 0.08125
For the smallest size the price per ounce should be 25% higher.
So:
$ 0.08125 (1 + 0.25) = $ 0.10156
The total price for the smallest size is:
$ 0.10156 * 32 = $ 3.25
The company should charge $ 3.25 for the smaller size.
Answer:
3.25
Step-by-step explanation:
We could solve this problem by figuring out the per-ounce cost of the 48-ounce package, increasing it by $25\%$, and then multiplying that by 32 for the smaller package. However, if we simply increase the price by $25\%$, and then scale the package size down to 32 ounces from 48 ounces, these are the same calculations, but in a different order that makes it easier to calculate. Thus: $3.90 \times 1.25 \times \frac{32}{48} = \boxed{3.25\text{ dollars}}$
Need answers for 14-17
I posted this in the math because everyone is here! Please help!
A low level of cardiovascular endurance would likely lead to this health-related problem in a very important muscle:
Anemia
Astigmatism
Heart attack
Osteoporosis
Answer: I believe the answer is C
Step-by-step explanation:
x-1/8=5/24
A . 1/12
B. 5/24
C. 1/3
D. 1 2/3
Answer:
The answer c
Hope I helped :)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation then isolating the variable.
Exact Form:
x=1/3
Decimal Form:
x=0.333333333
The number of bacteria present in a culture after t minutes is given as b=1000e^kt where k is a constant. If there are 8520 bacteria present after 15 minutes, find k and round to the nearest thousandth. a. 0.143 c. 2.143 b. 32.136 d. 0.13
To solve this problem, plug 8250 in for b and 15 in for t and then solve for k:
[tex]8250=1000e^{15k}[/tex]
*Divide both sides by 1000*
[tex]8.25=e^{15k}[/tex]
*Take the natural log (ln) of both sides*
2.1102=15k
*Divide both sides by 15*
0.1406=k
0.1406 rounds to 0.141 which is close to a. 0.143.
Hope this helps!!
Blaire needs more than 708 total points on assignments in her math class to pass. She only has 236 points and needs to do some extra credit assignments that are worth 59 points each.
59x + 236 > 708
How many extra credit assignments does Blaire need to complete in order to pass?
A.
x > 236
B.
x > 59
C.
x > 472
D.
x > 8
Answer: D) x = 8
Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.
Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.
59 x 8 = 472 + 236 = 708.
56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.
Hope this helped!
Plz mark brainliest!
Answer:
x>8
Step-by-step explanation:
I only answered so the other guy could get brainliest.
twelve athletes are running a race. a gold medal is to be given to the winner, a silver is to be given to the second place finisher, and a bronze medal is to be given to the third place finisher. assume that there are no ties. in how many possible ways can 3 medals be distributed?
Final answer:
There are 1,320 possible ways to distribute the gold, silver, and bronze medals among twelve athletes with no ties.
Explanation:
The student has asked how many possible ways three medals can be distributed among twelve athletes, assuming there are no ties. This can be calculated using permutations since the order of medals (gold, silver, bronze) matters and each medal can only be given once.
For the gold medal, there are 12 potential athletes, for the silver there are 11 remaining athletes (since one has already received gold), and for the bronze, there are 10 athletes left. Therefore, the number of possible ways to distribute the three medals is:
12 (options for gold) × 11 (options for silver) × 10 (options for bronze) = 1,320 possible ways.
Simplify 7/9 • 3/4 • 2/7
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{7}{9}[/tex] × [tex]\frac{3}{4}[/tex] × [tex]\frac{2}{7}[/tex]
the 7 on the numerator/ denominator cancel to 1
the 3 and 9 cancel ( 3 → 1 and 9 → 3 )
the 2 and 4 cancel ( 2 → 1 and 4 → 2 )
= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{1}[/tex]
multiply the remaining values on the numerators/ denominators
= [tex]\frac{1(1)(1)}{3(2)(1)}[/tex] = [tex]\frac{1}{6}[/tex]
someone please help me on my math 2 of them are on my page. thanks:)
Answer:
I will but there are no problems/questions shown
Step-by-step explanation:
i dont really know how to do this
Answer: x^3y^4 is the lowest common denominator.
Step-by-step explanation: To get both expressions to have a common denominator, multiply both of them to get them equal. For the first expression, multiply the numerator and denominator by y^3: 3y^3/x^3y^4
The second expression should be multiplied by the numerator and denominator by x^2: 7x^2/x^3y^4
(Add exponents when multiplying them) Now both expressions have common denominators.
Answer:
x^3*y^4
Step-by-step explanation:
The two denominators shown are x^3*y and x*y^4. The LCD must involve the largest power of x, which is x^3, and the largest power of y, which is y^4. Thus, the LCD is x^3*y^4.
It costs 6 tokens to ride a ride at the carnival. If you spent 18 tokens on the ride, which equation could you use to solve for the number of rides, r?
Answer:
yes
6r=18
Step-by-step explanation:
A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given your instructor’s age (x). Use this equation to determine your classmate’s age.
Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.
y = x - 22
where y = student's age
where x = instructor's age
this equation is correct because x(instructor) - 22 will yield the student's age (y).
If the instructor were 44 years old, the student would be 22 years old.
y = 44 - 22
y = 22
If the instructor were 66 years old, the student would be 44 years old.
y = 66 - 22
y = 44
Find the lowest common denominator of p+3/p2+7p+10 and p+5/ p2+5p+6 A. (p + 5)(p + 2)(p + 3)
B. (p + 5)(p + 3)
C. (p + 2)2
D. (p + 2)
[tex]\dfrac{p+3}{p^2+7p+10}=\dfrac{p+3}{p^2+5p+2p+10}=\dfrac{p+3}{p(p+5)+2(p+5)}=\dfrac{p+3}{(p+2)(p+5)}\\\\\dfrac{p+5}{p^2+5p+6}=\dfrac{p+5}{p^2+3p+2p+6}=\dfrac{p+5}{p(p+3)+2(p+3)}=\dfrac{p+5}{(p+3)(p+2)}\\\\\text{Lowest Common Denominator of}\ \dfrac{p+3}{p^2+7p+10}\ \text{and}\ \dfrac{p+5}{p^2+5p+6}\\\\\text{is}\ (p+5)(p+2)(p+3)\to\boxed{A.}[/tex]
use the function below to find f(–2). f(x) = 3^x.
When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.
For example:
[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1} =\frac{1}{x^2}[/tex]
[tex]\frac{1}{y^{-3}} =\frac{y^3}{1}[/tex] or y³
f(-2) This means that x is -2, so you can plug in -2 for "x" in the equation
[tex]f(x)=3^x[/tex]
[tex]f(-2)=3^{-2}[/tex]
[tex]f(-2)=\frac{1}{3^2}[/tex]
[tex]f(-2)=\frac{1}{9}[/tex]
Your answer is D
The value of the function f(-2) will be 1/9
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
How to find the value of f(-2) ?The given function is f(x) = [tex]3^{x}[/tex]
To find f(-2) , we will have to put -2 in place of x∴ f(-2) will be = [tex]3^{-2}[/tex]
Now, we know that [tex]a^{-b}[/tex] can be written as [tex]\frac{1}{a^{b} }[/tex]So, [tex]3^{-2}[/tex] will be equal to 1/9
∴ The value of f(-2) will be 1/9
Option D is correct.
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Emily baked 3 batches of sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighbor gave her half of a batch of a dozen chocolate chip cookies. How many cookies does Emily have.
Answer:
The answer is 198.
Step-by-step explanation:
First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.
Answer:
198
Step-by-step explanation:
source = trust me bro
What is the slope of the line 3x- 9y=4
Answer:
1/3 is your answer
Step-by-step explanation:
Note that in the slope intercept form, the equation looks like: y = mx + b
Isolate the y. First, subtract 3x from both sides
3x (-3x) - 9y = (-3x) + 4
-9y = -3x + 4
Next, to fully isolate the y, divide - 9 from both siedes
(-9y)/(-9) = (-3x + 4)/(-9)
y = (-3x + 4)/-9
Simplify
y = (1/3)x - 4/9
You're slope of the line (m in y = mx + b) is 1/3
~
Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours
Question
Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours
Answer:
8/5Step-by-step explanation:
2/5 in 1/2 hour = 4/5 in 1 hour
4/5 * 2 = 8/5 (your answer)
or
2/5 * 2 * 2 =
8/5
What is the y-intercept if the line graphed? *please enter your answer as an ordered pair in the form (x,y)*