What is the slope of the line of best-fit in the scatterplot below?
9/27
3/7
7/3
27/9
Answer:
Option C is correct
7/3
Step-by-step explanation:
Formula for slope is given by':
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex] ....[1]
As per the statement:
The graph shows the best fit line scatter-plot.
Consider two points i.e
(3,12) and (6, 19)
Substitute these points in [1] we have;
[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]
⇒[tex]\text{Slope} = \frac{7}{3}[/tex]
Therefore, the slope of the line of best-fit in the scatter plot is, 7/3
For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0
The interquartile range of the data set summarized in the boxplot is 22.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.
Interquartile range = 70 - 48 = 22
To learn more about box plots, please check: https://brainly.com/question/27215146
What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet
solve for q.
k=4pq^2
using the image below find the y value for the point that divides the line segment cd into ratio 4:1
Answer:
A) 2
Step-by-step explanation:
This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?
The volume of the cylindrical fish tank is 25446.90 inches cube.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The formula for the volume of a cylinder is:
The area of cross-section x the height.
Since the cross-section is a circle, we use the formula π x r²
Radius= 30 / 2 =15
Thus, Area of cross-section
π x 15² = 706.8583471 inches²
Now that we know the area of the cross-section,
706.8583471 x 36 = 25446.90049
= 25446.90 (2dp)
So. the volume is 25446.90
Learn more about volume of cylinder here:
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in a art class,40% of the students used watercolors for painting.Ten students in art class used watercolors.How many students were there in the class
A kilometer is more than one half a mile true or false!
Frank’s electric bill has a cycle day of the 3rd and a due date 8 days later with a one day grace period. What happens if Frank pays his electric bill on the 12th of the month?
Frank’s electric bill has a cycle day of the 3rd
And the due date of the bill is 8 days later
that is 3+8 = 11th of that month is the due date
The bill is to be paid by 11th
But 1 day grace period is given
So
11+1
=12
If one pays the bill by 12th of that month , then no penalty will be imposed.
And
Frank pays his electric bill on the 12th of the month
So no penalty will be imposed.
Kenya has 2 hours to work a 100 problem math test.At what rate must she work in order to finish in 2 hours
Answer:
Kenya should solve the problems at the rate 0.83 questions per minute.
Step-by-step explanation:
Total number of hours Kenya has to work on 100 questions is 2 hours .
2 hours = 2x60=120 minutes.
Kenya has to work on 100 problems in 120 minutes .
In 1 minute Kenya can solve 100 ÷ 120= 0.83 questions per minute.
Kenya should solve the problems at the rate 0.83 questions per minute.
which number dose 5 represent a value 10 times the value represented by 5 in 35,187
In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.
To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.
Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.
50,000× 10 = 500,000.
Therefore, in the new number, the digit 5 represents 500,000.
To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.
complete question=
Which number represents a value 10 times the value represented by 5 in 35,187?
write the rule for this pattern 5, 20, 80, 320
An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest 10th of a gram
Answer:
Just 22.1
Step-by-step explanation:
if you dont want to see step by step like the one above just put in 22.1
What is .58 as a fraction in simplest form
what is equivalent to 3 to the negative 2nd power
I'll give brainliest if you show your work.
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.
How Students Spend Money in the Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14
Answer:
[tex]y=3.25x-1[/tex]
Step-by-step explanation:
step 1
Find the slope
we have the points
(2,5.5) and (5,15.25)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{15.25-5.5}{5-2}[/tex]
[tex]m=\frac{9.75}{3}=3.25[/tex]
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
[tex]m=3.25\\point\ (2,5.5)[/tex]
substitute
[tex]5.5=3.25(2)+b[/tex]
solve for b
[tex]b=-6.5+5.5=-1[/tex]
therefore
[tex]y=3.25x-1[/tex]
Answer: c
Step-by-step explanation:
besides the 90 degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13
Answer:
b.) 23° and 67°
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
a.) 18° and 39°
b.) 23° and 67°
c.) 43° and 47°
d.) 65° and 25°
In recent years, 23.8% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors?
Final answer:
To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.
Explanation:
The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:
Percentage (%) = (Part/Total) × 100
First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:
Total = Part / Decimal Percentage
So we have:
Total = 57,800 / 0.238
Doing the calculation:
Total = 242,857 (approx.)
Therefore, the total number of registered doctors is approximately 242,857.
Solve the system of linear equations by elimination.
x+y=3
x−y=1
I need the solution so ordered pair (x,y)
a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?
1) $16.18
2) $17.28
3) $18.38
4) $19.48
b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?
1) 100%
2) 95%
3) 90%
4) 85%
X+23=-23 solve for x pls help !!!!
If the function graphed is f(x), find f(1).
A.) -4
B.) - 1/4
C.) 0
D.) 4
***
Is it C.) 0 ???
I need help on question #84 !
In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the value per year?
Final answer:
To find the rate of change for the value of Josh's house per year, subtract the initial purchase price from the current value, then divide by the number of years that have passed. The result shows the house's value decreased by $1,250 per year.
Explanation:
To calculate the annual rate of change for the value of Josh's house, you would subtract the final value of the house from the initial value and then divide by the number of years that have elapsed. This calculation gives you the change in value per year. In this case, the initial value of the house in 2010 is $110,000 and the final value in 2014 is $105,000. There are 4 years between 2010 and 2014.
Rate of change per year = (Final Value - Initial Value) / Number of Years
Rate of change per year = ($105,000 - $110,000) / 4
Rate of change per year = (-$5,000) / 4
Rate of change per year = -$1,250
Therefore, the value of Josh's house decreased by $1,250 per year from 2010 to 2014.
how to find answers for 4th grade Mixed number addition homework link 5 - 4?
15% of 20 is _____. a3,b30,c 300
Instructions: Select the correct answer.
If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?
A. 23.864 square centimeters
B. 90.6832 square centimeters
C. 181.3664 square centimeters
D. 238.64 square centimeters
Answer:
the answer would be C
Step-by-step explanation:
Can someone help me with A), B), and C)
A student reports three trials to measure the density of an unknown metal. The percent error in these trials is given in the table. Trial Count Percent Error Trial 1 0.05 Trial 2 0.02 Trial 3 0.01 Indicate the most accurate valu
Now reverse your process to describe the pattern represented by the rule y = −2x + 13. Be as detailed as you can. HEEELLLLLLLLLPPPPP PLEAAASEEE