In a class of students, the following data table summarizes how many
students have a cat or a dog. What is the probability that a student
chosen randomly from the class has a dog?
Answers
Answer:
22/29
Step-by-step explanation:
First, add up all of the numbers given:
16 + 4 + 6 + 3 = 29
Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:
16 + 6 = 22
Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:
22/29
Related Questions
Find the length of the segment with endpoints at (2, 7) and (8, -1). using the formula below.
Answers
Answer:
10
Step-by-step explanation:
Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex] and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]
= [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]
= [tex]\sqrt{6^2 +(-8^2)}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.
Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :
Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given in the question,
[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]
Learn more about distance formula here
https://brainly.com/question/32846365
#SPJ2
Find the surface area of the prism. Write your answer as a decimal.
13.5 in.
9 in.
9 in
10 in.
Answers
Answer:
360 in²
Step-by-step explanation:
Total SA = 2 triangles + 3 squares
Triangles:
A = bh/2
A = (9 · 10)/2
A = 90/2
45 in²
Squares:
A = bh
A = (9)(10)
90 in²
Total SA: 2(45) + 3(90)
Total SA: 360 in²
I hope this helps!
1. The ratio of bottles to mugs was 4 to 7. If there were 49 mugs, how many bottles were
there?
45
Answers
Answer:
28 bottles
HOPE THIS HELPS! :)
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Answers
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
To know more about median and range click the link given below.
https://brainly.com/question/9045470
Complete the table of values for equation y=5-2x
Answers
The required table of values for equation y=5-2x is;
x | y
0 5
1 3
2 1
3 -1
Functions and valuesTables of values are values used to represent functions.
Given the linear function expressed as y = 5 - 2x, we are to form a tables of values for the function.
Using the values of x = 0, 1, 2, and 3
If x = 0
y = 5 - 2(0)
y = 5
If x = 1
y = 5 - 2(1)
y = 3
If x = 2
y = 5 - 2(2)
y = 1
If x = 3
y = 5 - 2(3)
y = -1
Hence the required table of values for equation y=5-2x is;
x | y
0 5
1 3
2 1
3 -1
Learn more on function and tables here: https://brainly.com/question/10439235
The number of blueberry muffins Gary bakes each day is 30% of the total number of muffins he bakes. If he baked 24 blueberry muffins on Sunday, what is the total number of muffins baked?
Answers
Answer: The answer is 80
Step-by-step explanation:
Answer:
Gary baked 80 muffins on Sunday
Step-by-step explanation:
I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday. By cross multiplying, I get 240 = 3x. By dividing both sides by 3, I find x = 80.
what do you call boys who love algebra?
Answers
Answer:
algebros....
Step-by-step explanation:
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
Answers
Answer:
The slope of the line is 1
In point-slope form:
y = x + 1
Answer: 1
Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1
Use the Pythagorean Theorem to find the missing side of the right triangle:
Answers
Answer:
9.165
Step-by-step explanation:
Pythagorean Theorem implies a^2 + b^2 =c^2
AC= hypotenus
AB= 4
CB= ?
10^2=4^2+CB^2
CB= √10^2-4^2
= 9.165
The location where the x- and y-axes intersect is known as the ____________.
A. coordinate plane
B. origin
C. ordered pair
D. quadrant
Answers
Answer:
B. origin
Step-by-step explanation:
It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.
Calculate the circumstances of the shape below
Answers
Correct Question :-
Calculate the circumference of the shape below.
[tex] \\ \\ [/tex]
Given :-radius of circle = 12.5 m[tex] \\ \\ [/tex]
To find :circumference of a circle[tex] \\ \\ [/tex]
Solution :[tex] \\ [/tex]
We know :-
[tex] \bigstar\boxed{ \rm Circumference_{(circle)} = 2\pi r}[/tex]
[tex] \\ [/tex]
Steps :-
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi r[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2 \times \dfrac{22}{7} \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{125}{10} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{ \cancel{125} {}^{25} }{ \cancel{10} {}^{2} } \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{25}{2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{ \cancel{44}}{7} \times \dfrac{25}{ \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{22}{7} \times \dfrac{25}{1} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{550}{7} \\ [/tex]
[tex] \\[/tex]
[tex] \dashrightarrow\bf Circumference_{(circle)} =78.6 \: m\{approx \} \\ [/tex]
[tex] \\[/tex]
~[tex] \pmb{\cal W\frak{indy}M\frak{int}}[/tex]
How many groups of 5 can go into 900
Answers
Answer:
Your answer is 180
Step-by-step explanation:
180 x 5 = 900
Increase £200 by 12.5%
Answers
Answer:
£225
Step-by-step explanation:
12.5% × £200
>> £25
Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;
£200 + £25 = £225
Answer: £25
Step-by-step explanation: Take £200 and multiply by 12.5% and you get £25. I hope this helped!
The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.
Answers
The volume of the prism which is filled with 135 cubes is 5 cubic feet.
What is the Volume of Cube ?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.
Here Prism is filled with 135 cubes.
Volume of prism = volume of 135 cubes
= 135 X side X side X side
= 135 X 1/3 X 1/3 X 1/3
= 135 / 27
Volume of prism = 5 cu. feet
Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.
Learn more about volume of prism from:
https://brainly.com/question/1578538
#SPJ1
f(x)=2x2+3x−1 and g(x)=3x+4. Find g(f(x)).
Answers
Answer:
6x²+9x+1
Step-by-step explanation:
Check out the attached photo
The soccer coach bought 3 new soccer balls. The total cost of the balls was $21. 28. The coach used a $20 bill and a $10 bill to pay for the balls. Which is not a combination of coins and bills that can be used to make the change that the coach should receive?
----------------------------------------------------------------------------------------------------------------------------
A. One $5 bill, one $2 bill, one $1 bill, four dimes, two pennies
B. One $5 bill, three $1 bills, two quarters, two dimes, two pennies
C. Eight $1 bills, seven dimes, two pennies
D. Four $2 bills, a half-dollar, four nickels, two pennies
Answers
Answer:
a
Step-by-step explanation:
a is 8 .52 so its to low and the change was 8.72
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Answers
Answer:
1357.2
Step-by-step explanation:
[tex]V=\pi r^{2} h[/tex]
[tex]=\pi *6^{2} *12[/tex]
[tex]=1357.2[/tex]
Select the correct answer from the drop-down menu. Simplify the expression (x^19 y^21)^4/(x^2y^6)^2. The simplified expression is ...
A. (x^76)(y^84)
B. (xy)^72
C. (x^80)(y^96)
D. (xy)^84
Answers
The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]. The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
Given that,
The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
We have to simplify the expression.
Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.
Take the expression
=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
Multiply the powers
=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]
Divide the x and y terms
=[tex]{x^{72}y^{72} }[/tex]
Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
To learn more about expression visit: https://brainly.com/question/14083225
#SPJ1
Which statements are true? select three options. (the formula for the area of a triangle is a = one-halfbh.) bc = 6 cm ac = 5 cm ba = 4 cm the perimeter of triangle abc = 12 cm. the area of triangle abc is one-third the area of triangle def.
Answers
The area of the triangle is the half of the product of base and height then the correct option is A.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Points A, B, and C are midpoints of the sides of the right triangle DEF.
Then the area of the triangle is given as
Area of the triangle = half of the product of base and height
That can be written as
[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]
Thus, the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
B,C,D
Step-by-step explanation:
Based on the information above ,what percent of students type less than 30 words per minute? hurry i need help
Answers
Based on the information provided in the histogram, the percent of students that type less than 30 words per minute is 30%.
What percent of students type less than 30 words per minute?A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the number of students and whose width is equal to the words per minute.
Percentage of students who type less than 30 words per minute = (number of students that type less than 30 words per minute) / total number of students) x 100
[(10 + 5) / 50] x 100 = 30%
To learn more about histograms, please check: https://brainly.com/question/14473126
For the given equation, enter the value of B when x = 3.
BX = 15
Answers
Answer:
b = 5
Step-by-step explanation:
x = 3
3B = 15
3B/3 = 15/3
B = 5
Find the solution to the system of equations by using either graphing and substitution y=2x-1 and y=x+3
pls explain ur answer
Answers
Answer:
x= 4 and y=7
Step-by-step explanation:
Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.
Because of this the two equations are true
7= 4+3 (True)
Describe a situation that fits each equation. Describe more than one situation for each equation, if possible.
a) 4x − 1 = 19
b) 2x − 4 = 10
c) 2x + 2y = 48
d) 5x + 2y = 90. no links please!
Answers
Answer:
Step-by-step explanation:
4x − 1 = 19
solving for x, x = 5
2x − 4 = 10
x=7
2x + 2y = 48
x=24-7
y=24-x
5x + 2y = 90
x=18-2y/5
y=45-5x/2
all the situations I could find hope this helps for each equation.
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows. the first column has entries pond a, pond b, pond c, pond d. the second column is labeled population of geese with entries 88, 175, 192, 204. the third column is labeled area (acres) with entries 1.1, 1.3, 1.5, 2.0. which pond has the greatest population density of resident geese? pond a pond b pond c pond d
Answers
The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.
What is population density?The population density is defined as the number of objects present in the unit area.
The formula is given as
[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.
Then the greatest population density of the geese will be
[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]
More about the population density link is given below.
https://brainly.com/question/1581160
Answer:
pond B
Step-by-step explanation:
edg 2022
L00K AND ANSWER PLS :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
Answers
Answer:
i dont the answer
Step-by-step explanation:
hey u, you're a loser
what is the exact length of the missing side
Answers
Answer:√44
Step-by-step explanation:
pls help me brainly wont show me the right results
Answers
Answer:
[tex]\boxed{\tt x=45^o}[/tex]
Step-by-step explanation:
The two angles together are supplementary, which means that they add up to 180°
[tex]\tt (2x+45)^o+x^o=180^o[/tex]
Now, let's solve for x:-
[tex]\tt 2x+45+x^o=180^o[/tex]
[tex]\tt 3x+45^o=180[/tex]
[tex]\tt 3x=135^o[/tex]
[tex]\tt x=45^o[/tex]
_____________________
the sum of 2/5 and f is 1/2
Answers
Answer:
the photo has the anwer
and it up to you if this is right it should be can I be marked as brainliest
Cohen mailed a letter on Monday morning. The letter has to travel 12 1/2 miles to reach it's destination.
The letter traveled 2 1/4 miles on Monday and traveled an additional 7 1/12 miles on Tuesday.
How far did the letter travel on Wednesday to reach it's destination?
Answers
Answer:
2 3/4 miles
Step-by-step explanation:
Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.
__
12 1/2 - 2 1/4 - 7 1/2
= (12 1/2 -7 1/2) -2 1/4
= 5 -2 1/4 = 2 3/4
The letter traveled 2 3/4 miles on Wednesday to reach its destination.
Sophia buys a supply of toilet paper from costco that comes in a pack 36. She immediately gives 4 rolls of toilet paper to her sister (who shared with her last month). She uses 2 rolls of toilet paper a per month.
(a) Write an expression that represents the situation
(b) Determine how many rolls of toilet paper she will have left after 1 year
EXPLAIN AND SHOW YOUR WORK
Answers
I believe she will have 8 rolls of toilet paper left after one year.
She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.