Answer:
686 centimeters
Step-by-step explanation:
d= 86 inches
d=2r
86 =2r
r=43
C = 2πr
C = 2(3.14)(43) =270.04 inches
1 inch = 2.54 centimeters
270.04 (2.54) = 685.9016 centimeters ≈686 centimeters
A product-testing group compares two brands of trail mix to determine the number of raisins per ounce of mix. Two pounds of each brand's mix is separated into 32 one-ounce servings. The medians of the data distributions for Brand a and Brand B are -- Responses: A-equivalent to 12. B-greater than 12. C- less than 12. D- unable to be determined from the graph.
The data distribution for brand A is slightly skewed left while the data distribution for brand B is close to symmetric.
The medians of the data distributions for Brand A and Brand B are: greater than 12
How to identify the distribution pattern?Some of the terms in normal distribution spread are:
Right skewed: This is clearly where the mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution.
Left skewed: This is clearly where the mean is less than the median.
Symmetric: In a symmetrical distribution, the mean, median, and mode are all equal.
1) Brand A distribution is left skewed because because there is a cluster of data on the right side
Brand B distribution is symmetric
2) The median of brand A will be the 16th and 17th dots which gives us:
(12 + 14)/2 = 13
Meanwhile, the median of brand B is:
(11 + 13)/2 = 12
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John puts $70 in a savings account that earns 6% annually. The interest is not compounded. How many years will it take John to make at least $100 in interest?
Answer:
24 years
Step-by-step explanation:
If interest is not compounded, it is called simple interest.
Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.
The formula for simple interest is:
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest earned.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).The given values are:
I = $100P = $70r = 6% = 0.06Substitute the given values into the formula and solve for t:
[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]
[tex]\implies \sf 100=4.2 t[/tex]
[tex]\implies \sf 4.2 t=100[/tex]
[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]
[tex]\implies \sf t=23.8095238...\;years[/tex]
We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.
Answer:
approx. 24 years
Step-by-step explanation:
The formula to find the simple interest is:
[tex]\sf I= \frac{prt}{100}[/tex]
Here,
I ⇒ Interest ⇒ $ 100
p ⇒ principle ⇒ $ 70
r ⇒ rate ⇒ 6
t ⇒ time ( years )
Let us find the time taken using the formula.
[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]
Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90° clockwise rotation
90° counterclockwise rotation
270° counterclockwise rotation
180° clockwise rotation
Answer:
90° counterclockwise rotation
Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]
an = a1 + (n - 1)d
Substituting the values
an = 2 + (n - 1)8
We have to find the 25th term n = 25
a25 = 2 + (25 - 1)8
a25 = 2 + (24)8
a25 = 2 + 192
a25 = 194
======================================================
Explanation:
The gap between adjacent terms is 8.
2+8 = 1010+8 = 1818+8 = 2626+8 = 34etcThe long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".
I don't recommend this option. I recommend the shortcut mentioned in the next section.
--------
The shortcut would be to find the nth term of the arithmetic sequence
[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]
As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.
--------
The last step is to plug n = 25 into that formula to determine the 25th term.
[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]
The final answer is 194-------
Extra section (optional):
We can use a spreadsheet to generate the 25 terms. This is to help check the answer.
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194
A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.
Which of the following tables of data represents the scatter plot in the image of the answers below?
Answer: D)
Step-by-step explanation:
Look at the data table then look at the scatterplot to see if the values line up.
10 field goals, 15 yards distance from the Goal Post.
9 field goals, 20 yards distance from the Goal Post.
10 field goals, 25 yards distance from the Goal Post.
11 field goals, 30 yards distance from the Goal Post.
And so on...
i need EXTRA help with this PLEASE AND THANK YOU!
A grocery store receives a crate with contents that weigh 180 pounds. The contents consist of six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Choose an equation that represents the number of bags of potatoes in the crate.
A: 6(10) + 180 = 5x
B: 10 + 6 + 5x = 180
C: 180 = 5 + 60x
D: 6(10) + 5x = 180
Answer:
6(10)+5x=180
Step-by-step explanation:
This is because there are 6 10-pound bags that we know of, so it would be 6(10).
Then, there are an unknown number of 5-pound bags, in which the variable would be x, so it would be 5x.
Lastly, the content weighs 180 pounds, so that's what the equation would be equal to.
PLEASE HURRY
Which math ratio represents efficiency?
A). Fi x do/Fo x di
B). Fo x di/Fi x do
C). Fi x di/Fo x do
D). Fo x do/Fi x di
The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.
The table represents a linear relationship.
Which equation represents the table?
y equals one fourth times x minus 2
y equals negative one fourth times x plus 4
y = 4x − 2
y = −4x + 3
Answer:
y equals one fourth times x minus 2
Step-by-step explanation:
Equation of straight line:
y =ax + b
Find a and b by selecting at random two pairs from among the plots.
(0, -2)
-2 = a·0 +b
b =-2
(4, -1)
-1 = a.4 +(-2)
-1 =4a -2
1 = 4a
a = 1/4
Equation is : y=(1/4)x -2 y equals one fourth times x minus 2
Option (A) y equals one fourth times x minus 2.
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
Which of the following sets of ordered pairs represents a function?
A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}
Answer:
A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.
Using this definition, we can determine which of the sets of ordered pairs represents a function:
A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.
B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}
The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.
C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.
D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
Each input has only one output, so this set represents a function.
Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A gardener uses a total of 61.5 gallons of gasoline in one month. Of the total amount of gasoline, 3/5 was used in his lawn mowers. How many gallons of gasoline did the gardener use in his lawn mowers in the one month?
What do i do here?
Answer:
36.9 gallons were used in one month.
Step-by-step explanation:
In order to find this out, we first take 3/5 and convert it into a decimal by dividing the numerator by the denominator
3 ÷ 5 = 0.6
Then, we can set up this equation to figure out how many gallons of gasoline were used:
0.6 x 61.5 = 36.9
Answer: 36.9 gallons used
Step-by-step explanation: 61.5 * 3/5 which is 615/10 * 3/5.
please I only have an hour left so can you help me with both?
help me thank you if u did i forgot
Answer:
790,000
Step-by-step explanation:
The 5 represents the number by itself so it would be
10x10x10x10x10=100,000
7.9x100,000=790,000
Step-by-step explanation:
if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).
if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).
if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).
...
you see the pattern ?
so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.
therefore,
7.9 × 10⁵ = 790,000.-
Please help me this is due today
a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
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Answer my other questions, get brainliest!
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)
Which of the following equations represents a linear function?
x = −2
y = 5x − 6
y equals negative one fifth times x squared
−3x + 2 = 4
Answer:
The equation that represents a linear function is:
y = 5x - 6
Step-by-step explanation:
This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.
y = 5x - 6 is represents a linear function.
What is a linear function?
A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.
Generally, the equation of a linear function is given as;
y = mx + c
where;
m is the slope of the graphc is the y intercept of the graphThe graph of a linear function is usually directly proportional, either increasing or decreasing.
From the options, only the function, y = 5x - 6 is a linear function.
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Simplify:
13a^2 + 14 - 17a - 12a^2 + 6a - a^2
answer choices;
A.) a - 14
B.) a + 14
C.) -9a^2 + 14
D.) -9a^2 - 5a - 14
Answer:
B
Step-by-step explanation:
What number should go in the box to make the equation true? Explain how you got to your answer.
- (3/4) = ?/4
A. -3
B. 3
C. -4
D. 4
The area of the circle is 9/64π square units. The radius of a circle is blank units. The circumference of the circle is blank units.
*One radius and one circumference*
a. 9/32
b. 3/8
c. 3/4
d. 9/32π
e. 3/8π
f. 3/4π
Answer:
C = 2π(3/8) = 3π/4 units
Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
(´▽`ʃ♡ƪ) Help pls! quick plsss! A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie?
Answer:
about a 20% chance that you get 2 comedies and 1 action movies
Answer: The total number of ways to select any 3 movies out of 15 is:
15C3 = 455 There are a total of 15 movies, out of which 6 are action, 4 are comedies, 3 are dramas, and 2 are mysteries. nCr = n! / r!(n-r)!
(i.e., n! = n x (n-1) x (n-2) x ... x 2 x 1).
Step-by-step explanation:
Please help on this question :)
Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
PLEASE SOMEONE HELP I BEG U \
A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits.
Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy.
The group which receives no physical therapy would best be described as which of the following?
EXPLANATORY VARIABLE
RESPONSE GROUP
CONTROL GROUP
EXPERIMENTAL UNIT
Answer:response group
Step-by-step explanation: cause its not the last one
Question 21: A box covers an area of 8 3/4 in. squared when resting on its base. The volume of the box is 74 3/8 in. cubed. Can you find the surface area of the box? Explain.
Use the graph to answer the question.
Determine the translation used to create the image.
5 units to the right
5 units to the left
2 unit to the right
2 unit to the left
Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?
Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.
Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.
Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.
Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Answer: It is D. Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Step-by-step explanation:
can yall help me with this 4s+17<9
Answer: s < -2
Step-by-step explanation: To find 'S', read the following steps below
First, you're going to subtract 17 from 17 and 9,
you will end up with this equation: 4s<-8
Then, you will divide 4 by 4, leaving the variable by itself, and divide -8 by 4.
Your answer is s < -2Sorry if you don't understand my explanation, I tried my best :)
Answer:I show u on paper
Step-by-step explanation:hope this helps
First you isolate the instead of 4s+17<9 you have 4s<9-17
Next you get 4s<-8
Then you now divide so you get s< -8÷4 which is -2
How much liquid does this cup contain?
A. Between 1/3 cups and 1/2 cups B. Between 1/2 cups and 2/3 cups C. Between 2/3 cups and 5/6 cups D. Between 5/6 cups and 1 cups
Help would be appreciated
Answer:
1.5 miles less
Step-by-step explanation:
Step 1: Find equation for Alexanda
We can see from Fabian's equation that there is a linear relationship between miles (y) and gallons (x).Fabian's equation is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Although we're not given the equation for Alexandra, we can find it using the slope formula, which is[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is
[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]
Now, we must find the y-intercept by plugging in 43.2 for m, 8 for x, and 345.6 for y into the general slope-intercept form and solving for b:[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]
Thus, the equation for Alexandra is y = 43.2x
Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract
Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:
Fabian: y = 41.7(1) = 41.7
Alexandra: y = 43.2(1) = 43.2
Difference of Alexandra and Fabian's miles: 43.2 - 41.7 = 1.5
1. What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)
2. What triangles are similar? How do you know? (5 points)
3. What is the distance between buoy A and B? (5 points)
Answer:
My fault i need points
Step-by-step explanation:
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot