The equation of the line that best fits the given data is y = (5/6)x + 1/3
The equation of the line that best fits the given data can be found by using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (1, 1.5) and (4, 4), we get:
m = (4 - 1.5) / (4 - 1) = 2.5 / 3 = 5/6
Now we can use one of the given points to find the y-intercept. Let's use the point (2, 2):
y = mx + b
2 = (5/6)(2) + b
2 = 5/3 + b
b = 2 - 5/3
b = 1/3
Therefore, the equation of the line that best fits the given data is:
y = (5/6)x + 1/3
The best answer is C. Y = x + 1.
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Question #3 The same dish detergent is sold at 4 different grocery stores in different sized bottles. Bottle Size (ounces) 20 Store Hawkin's Grocery Mitchell's Store Selena's Market Teresa's Store Price $5.00 $8.00 $12.00 $20.00 100 Which store has the lowest price per ounce? А Hawkin's Grocery B Mitchell's Store C Selena's Market D Teresa's Store Jestion #4 ex paints a total of 9 dollhouses using 2 cans of naint
To find the price per ounce for each grocery store we have to divide the price by the size of the bottle:
Hawkin's Grocery:
\(\frac{5}{20}=0.25\)$0.25 per ounce
MItchell's Store:
\(\frac{8}{25}=0.32\)$0.32 per ounce
Selena's Market:
\(\frac{12}{40}=0.30\)$0.30 per ounce
Teresa's Store:
\(\frac{20}{100}=0.20\)$0.20 per ounce
We can see that Teresa's Store has the lowest price per ounce
At a football game 43% of people attending are supporting the home team while 57% we’re supporting the visiting team if the total number of people at the game was 4,500 how many people were supporting the home team
Answer:
1935
Step-by-step explanation:
Trust Me
Consider the following inequality:x <1Step 2 of 2: What type of interval does the following inequality represent?
all the x number smaller than 1
Explanation
the symbol
\(<\)represents an inequality, it means smaller than , this is Strict inequalities without the “or equal to” component are indicated with an open dot on the number line and a parenthesis using interval notation.so in thsi case 1 is not part of the solution set
so, as 1 is not part of the solution this is a open interval
\(undefined\)all the x number smaller than 1
I hope this helps you
In ΔUVW, the measure of ∠W=90°, WV = 65, VU = 97, and UW = 72. What ratio represents the sine of ∠V?
The sine of angle V is 97/72. The length of side VW is 65 units.
To find the sine of angle V, we need to use the ratio of the length of the side opposite angle V to the length of the hypotenuse. In this case, side VU is opposite angle V, and hypotenuse UW is the longest side of the right triangle.
Using the Pythagorean Theorem, we can find the length of side VW:
VW² = UW² - VU²
VW² = 72² - 97²
VW² = 5184 - 9409
VW² = 4225
VW = 65
Now we can use the sine ratio:
sin(V) = opposite/hypotenuse = VU/UW
sin(V) = 97/72
Therefore, the ratio that represents the sine of ∠V is 97/72.
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A copy machine makes 32 coples per minute. How many copies does it make in 4 minutes and 15 seconds?
Answer:
136
Step-by-step explanation:
because 32 times 4 is 128 and 32 divided by 4 is 8 that together is 136 its dived by four because 15 is 1/4 of 60 which is an hour
Answer: 136 copies in 4 minutes and 15 seconds
Step-by-step explanation:
First, we need to find how many copies the machine makes per second
a minute has 60 seconds. Divide the number of copies made per minute by 60
32/60
simplify
8/15
It can make 8/15 copies per second.
It takes a minute to print 32 copies, so multiply the number of copies per minute by 4 minutes
32*4=128
128 copies in 4 minutes
now 8/15 * 15 =120/15 = 8
128+8=136
In a survey of 1200 people who owned a certain type of car, 420 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35%
Step-by-step explanation:
Given that,
Total number of people = 1200
No. of people that would buy that car again = 420
We need to find the percent of the people surveyed were satisfied with the car.
No. of people who were satisfied with the car are those who would buy it again. So,
Required percentage is given by :
\(\%=\dfrac{420}{1200}\times 100\\\\=35\%\)
So, 35% of people were satisfied with the car.
HELPP FAST NEED TO BE TURNED IN IN A HOURR
German is crocheting squares for his cardigan. In order to determine how many squares he can make per hour, he created 3/4 of a square in 2/8 of an hour. Which would be the proper form of the unit rate?
Group of answer choices
1/3 squares per hour
6/32 hours per square
3/16 time per squares
3 squares per hour
Answer: I believe it's 3/16
Step-by-step explanation:
Step 1 of 2: Multiply.
Multiply
3 over 4 × 2 over 8=6 over 32
Step 1 of 2: Multiply, sub-step a: Multiply. 3 over 4 x 2 over 8 = ( 3 × 2 ) over ( 4 × 8 ) 3 × 2 4 × 8 = 6 over 32
(Multiply the numerators and denominators.)
then SIMPLIFY and you get 3/16
(divide numerator ad denominator by 2)
122 divided by 3.2
show all work
Answer:
it's 38.12500, you just divide the two digits
I need sum help y’all boys
You have to multiply the Diameter, times Pi.(3.14)
7. 21.98
8. 62.8
9.75.36
10. 59.66
11. 84.78
12. 3082.2
I dunno the last one. I probably do but
Hope This Helped!
Please help quick! 100 points
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answer:
Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.
Step-by-step explanation:
Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to obtain the measures of spread?
First, we consider the dot plot, which shows the number of times that each observation appears in the data set.
Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.
The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.
For groups of 15 students, we have that:
The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.
The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.
The quartiles for Bus 14 are given as follows:
Q1 = 12.
Q3 = 18.
Hence the IQR is of:
IQR = Q3 - Q1 = 18 - 12 = 6.
The quartiles for Bus 18 are given as follows:
Q1 = 9.
Q3 = 16.
Hence the IQR is of:
IQR = Q3 - Q1 = 16 - 9 = 7.
Step-by-step explanation:
38 degrees 2x degrees +6 degrees
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. Use the value 3.14 for pie, And do not round your answer.
Answer:
0.9675sq.cm
Step-by-step explanation:
Find a related diagram attached
Area of the shaded region = Area of rectangle - area of semicircle
Area of rectangle = 3cm * 1.5cm
Area of rectangle = 4.5sq.cm
Given
diameter of the semicircle = 3cm
area = πd²/8
Area of the semicircle = 3.14(3)²/8
Area of the semicircle = 3.5325sq.cm
Area of the shaded region = 4.5 - 3.5325
Area of the shaded region = 0.9675sq.cm
Could somebody help me? :((
Answer: Jenna multiplied both numbers by 5 and added the products of the two equations into her answer. Mia added the numbers then multiplied by 5 to get her answer. However, in some situations, this isn't the case. take 5(9+6) for example. You multiply both by 5 to get 45+30=75. That's correct. And when you add both to get 15, then multiplied by 5, you also get 75. But in certain scenarios, such as dividing, that won't be the case. 5(9/3)=15. (Dividing the 9 by 3 first) 5(9/30) [not dividing first] gets you 3.
Can i have a straight answer for these questions
To dilate a figure means to change it.
The figure before the transformation is called the _____________, or original
The figure after the transformation is called the ____________ or new image. We would label that with a __________
You can identify the new figure by looking for the __________symbol
Congruence refers to whether or not a figure has the same ________ and ________ after a transformation
When you dilate a figure it keeps the same ____________ but not the same ________
Orientation of a figure is the direction a figure is _________
When you dilate a figure it __________ it’s _________
When you dilate a figure the corresponding __________ are ______________,
and the corresponding ____________ are __________________
Example 1: Write an algebraic representation that would result in an enlargement of a figure.
Example 2: Write an algebraic representation that would result in a reduction of a figure.
Example 3: State whether each statement is true or false
A polygon that is dilated will have a different orientation
When you dilate a figure the angles of the figure change
(x, y) (0.5x, 0.5y) would result in a reduction of a dilated figure
(x, y) (ax, ay) if a is between 0 and 1 the image would be an enlargement
Naruto usamaki is the greatest hokagey in the leaf village
Eric took a test. All the questions have equal value. He answered 38 of the questions correctly.
This was 95% of the test questions. How many total questions were on the test?
Answer:
72% your welcome lolbrhdhhdvdceuegcstditdti
13. Todd bought a Muskoka cottage in 2003 for $305 000. In 2018, he had the cottage assessed and was told its value is now $585000. What is the annual growth rate of his cottage? [3 marks]
Therefore, the annual growth rate of Todd's cottage is approximately 0.0447 or 4.47%.
To calculate the annual growth rate of Todd's cottage, we can use the formula for compound annual growth rate (CAGR):
CAGR = ((Ending Value / Beginning Value)*(1/Number of Years)) - 1
Here, the beginning value is $305,000, the ending value is $585,000, and the number of years is 2018 - 2003 = 15.
Plugging these values into the formula:
CAGR \(= ((585,000 / 305,000)^{(1/15)}) - 1\)
CAGR \(= (1.918032786885246)^{0.06666666666666667} - 1\)
CAGR = 1.044736842105263 - 1
CAGR = 0.044736842105263
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Acceleration Worksheet:
Could anyone complete with correct answers? 1-5 please!
Tony who is 6.2' tall is looking at a mirror on the ground 14' in front of him and he can see the top of the flagpole he knows the distance from the mirror to the flag pole is 23' and that the 2 triangles are similar how tall is the flag pool
Answer:
10.2 feet
Step-by-step explanation:
Let h represent the height of the flagpole. Because the triangles are similar, we have ...
object height / distance to mirror = h/23' = 6.2'/14'
Multiplying by 23', we have ...
h = 23'(6.2)/14 ≈ 10.2'
The flag pole is about 10.2 feet high.
__
The "exact" answer is 10 13/70 feet. Since Tony's height is rounded to the nearest 0.1 feet, we expect that an answer rounded to that precision is sufficiently accurate.
In the equation y = X - 5, the y-intercept is
Answer:
(0, -5)
Step-by-step explanation:
The y-intercept of a graph is where the graph of the function intersects the y-axis. This means that the x-coordinate of the point is zero. To find the y-intercept of a line, when given the equation of the line, substitute (0) in for (x) and solve the equation,
y = x - 5
x = 0
y = 0 - 5
y = -5
This gives the resulting point of (0, -5) for the y-intercept of the line.
help Imao pleaseeeeee
5 minus a number is less than -9: 5 - x < -9.
The product of 2 and a number is a minimum of 34: 2x ≥ 34.
Answer:
2. \(2n\geq 34\)
3. \(5-n < -9\)
Step-by-step explanation:
The product of 2 numbers is multiplication.
"a minimum of" is greater than or equal to.
A number minus a number is subtraction.
2.
"The product of 2 and a number" can be written as \(2n\).
"a minimum of 34" can be written as \(\geq 34\)
So all together
\(2n\geq 34\)
3.
"5 minus a number" can be written as \(5-n\)
"less than -9" can be written as \(< -9\)
So all together
\(5-n < -9\)
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135 high-school freshmen were interviewed:
-35 of them took physical education (P.E.);
-42 took BIO (biology);
-60 took ENG (English);
-10 took P.E. and BIO;
-15 took P.E. and ENG;
-7 took BIO and ENG; and
-5 took all three subjects.
-----
How many students took none of the subjects?
How many students took P.E. but not BIO?
How many students took ENG but neither BIO nor P.E.?
The number of students that did none of the subjects=27
The students that took P.E but not BIO=25
The number of students that took ENG but neither BIO nor P.E.=33
Calculation of students for each subjectThe number of students that did none of the subjects cam be gotten by addition of all the students that took the various subjects minus the 5 students.That is , (15+10+7)-5= 32-5 = 27
The number of students that took P.E. but not BIO = 35-10not BIO = 35-10 = 25
The number of students that took ENG but neither BIO nor P.E.= 60 - (15+5+7)= 60- 27
= 33
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(90 POINTS) How can you find the length of RT using similarity? Explain your reasoning.
Answer:
RT = 26
Step-by-step explanation:
Based on the figure we can say :
ΔABC ~ ΔTSR (by SAS similarity)Scale factor :
AB/SR = 12/24 = 1/2Hence, as the proportions are the same :
CA/RT = 1/213/RT = 1/2RT = 13 x 2RT = 26The triangle ABC and RST will be similar triangles. Then the length of RT will be 26 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
The triangle ABC and RST will be similar triangles.
RT / 13 = 24 / 12
RT = 26
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NEED HELP ON THIS ASAP WEE WOO WEE WOO
Answer:
50
Step-by-step explanation:
Terell jackson opened a savings account by depositing his $1,050 paycheck his bank pays 12% interest compound a monthly basis he doesn't make any other deposits or withdrawals after three years how much interest will he earn
Answer:
Interest= $516.93
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,200
Number of periods (n)= 12*3= 36 months
Interest rate (i)= 0.12/12 = 0.01 monthly
First, we need to calculate the future value of the investment using the following formula:
FV= PV*(1 + i)^n
FV= 1,200*(1.01^36)
FV= $1,716.93
Now, the interest earned:
Interest= 1,716.93 - 1,200
Interest= $516.93
40+[3{18÷(9-3)-11-9}+4]
Step-by-step explanation:
= 40 + [ 3 { 18 ÷ ( 9 - 3 ) - 11 - 9 } + 4 ]
= 40 + [ 3 { 18 ÷ 6 - 11 - 9 } + 4
= 40 + [ 3 { 3 - 20 } + 4
= 40 + [ 3 {- 17 } + 4
= 40 + ( - 51 ) + 4
= 40 + 4 - 51
= 44 - 51
= - 7
\(...\)
☘☘☘....
Answer:
\( \sf \large \: - 7\)
Step-by-step explanation:
40+3(18/9−3−11−9)+4
=40+3(18/6−11−9)+4
=40+3(3−11−9)+4
=40+3(−8−9)+4
=40+(3)(−17)+4
=40+−51+4
=40+−47
=−7
on the average, 2 airplanes per minute land at a certain international airport. we would like to model the number of landings by a binomial counting process. what frame length gives the probability 0.1 of one landing during any given frame?
Therefore, the frame length that gives a probability of 0.1 of one landing during any given frame is about 8.61 seconds.
Since we know the average rate of arrivals, we can use the Poisson distribution to model the number of landings per minute. Let λ be the average number of arrivals per minute, then the Poisson distribution with parameter λ is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the number of arrivals in a given minute.
In this case, λ = 2. We want to find the frame length that gives a probability of 0.1 of one landing during any given frame. Let T be the frame length in minutes, then the number of arrivals during a frame follows a Poisson distribution with parameter λ*T.
We want to find T such that P(X = 1) = 0.1, where X is the number of arrivals during a frame. Substituting λ*T = 2T, we have:
P(X = 1) = (e^(-2T) * (2T)^1) / 1! = 2Te^(-2T)
Setting this equal to 0.1 and solving for T, we have:
2Te^(-2T) = 0.1
e^(-2T) = 0.05/T
Taking the natural logarithm of both sides, we have:
-2T = ln(0.05/T)
Multiplying both sides by -1/2, we have:
T = -ln(0.05/T) / 2
Using a numerical solver or a graphing calculator, we can find that T ≈ 0.1435 minutes, or about 8.61 seconds.
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a three-digit identification card is made. find the probability that the card will contain the digits in any order.
The probability that a three-digit identification card will contain the digits in any order is 6/720 = 1/120.
Assuming that repetition of digits is not allowed in the identification card, the number of possible three-digit arrangements is 10P3 = 10 × 9 × 8 = 720. There are 3! = 6 ways to arrange three distinct digits, so the number of three-digit arrangements containing the same three digits in any order is 6. Therefore, the probability that a three-digit identification card will contain the digits in any order is 6/720 = 1/120.
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A badminton net is tethered to the ground with a strand of rope that forms a 50 angle with the ground. What is the length of the rope, x? Write an equation and show work below. Round to the nearest tenth.
Answer:
5.4 ft to nearest tenth.
Step-by-step explanation:
We know the adjacent side of the right triangle and we need the hypotenuse so we use the cosine:
cos 50 = 3.5/x
x = 3.5 / cos 50
= 5.445 ft.
Hannah has a bag containing 6 yellow, 7
black, 8 green, 15 blue, and 9 white marbles
that are all the same size and shape. What
is the probability of randomly choosing a
blue marble on the first pick, NOT replacing
it, and then randomly choosing a white
marble on the second plek?
The probability of randomly selecting a blue marble on the first pick is 15/45 since there are a total of 45 marbles and 15 of them are blue. After the blue marble is not replaced, there are now 44 marbles remaining and 9 of them are white. Therefore, the probability of selecting a white marble on the second pick is 9/44. To find the probability of both events occurring, we multiply the probabilities together: (15/45) x (9/44) = 0.045 or 4.5%. Thus, there is a 4.5% chance of randomly selecting a blue marble on the first pick and a white marble on the second pick without replacing the blue marble.
Probability is the measure of the likelihood of an event occurring, and it is expressed as a fraction or percentage. To calculate the probability of selecting a blue marble on the first pick, we divide the number of blue marbles by the total number of marbles. The same process is used to calculate the probability of selecting a white marble on the second pick. However, since the blue marble is not replaced, the number of marbles decreases by one, and the probability of selecting a white marble changes accordingly.
In conclusion, the probability of randomly selecting a blue marble on the first pick and a white marble on the second pick without replacing the blue marble is 4.5%. This means that out of every 100 times that the experiment is repeated, we would expect to get a blue marble on the first pick and a white marble on the second pick approximately 4-5 times.
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How does the stem-and-leaf plot show the distribution of these data? O A. The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to higher freque OB. The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to higher freque OC. The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to smaller freque O D. The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to smaller freque
The stem-and-leaf plot shows that the lengths of the bars in a histogram are similar to the lengths of the rows, and long rows of data suggest higher frequency.
The stem-and-leaf plot is a type of graphical representation used to plot and display the collection of numbers. The leaf is used to represent the one's place of the digit. And the stem is used to represent the tens place of the digit. It is represented in tabular data organized into discrete numerical categories.
The main advantage of this plot is that it helps to organize a large set of data values. They are also used to determine the median and mode. But they are not very informative for a small set of data. When this plot is compared to the histogram, the length of the rows of this plot is similar to the height of the bars in the histogram. So that the longer row of this plot corresponds to the higher frequency. So the correct statement is option A.
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