A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
PLEASE HELP ASAP!!!!!
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)}.
Where would -4,9 be on a coordinate grid
A-1st
B-2nd
C-3rd
D-4th
Find the 24th term.
-9, 0, 9, 18, 27, ...
24th term = [? ]
Answer:
198
Step-by-step explanation:
Answer: 198
Step-by-step explanation:
Firstly, you must find the nth term.
the sequence is: -9, 0, 9, 18, 27, ...
find the difference between each term. in this sequence, the difference is 9, so it is 9n
then you must find the difference between the sequence 9n and this sequence. 9n is:
9, 18, 27, 36, 45, ...
now find the difference between 9n and our sequence.
adjustment = -18
so the nth term is 9n - 18
now you need to substitute 24, as that is the term you would like to find out, in place of n.
so, our n term looks like this: 9(24)-18
9 x 24 = 216
216 - 18 = 198
hence, the answer is 198.
hope this helps.
When Emily went to work, it was 83.8 degrees outside. When she was done working, it was 67.9 degrees outside. What was the change in temperature?
Answer:
The difference in temperature is 15.9 degrees.
Step-by-step explanation:
83.8 - 67.9 = 15.9
Answer: 83.8
-67.9 = 15.9
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
A: U′(0, −2), V′(−1, −3), W′(−3, −3)
B:U′(0, −2), V′(1, −3), W′(3, −3)
C:U′(2, 0), V′(3, −1), W′(3, −3)
D: U′(−2, 0), V′(−3, 0), W′(3, −3)
The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards
Answer:
Let's start by using the formula for the area of a rectangle:
area = length x width
We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:
9 3/4 = (13/4) x width
To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:
(9 3/4) x (4/13) = (13/4) x (4/13) x width
3 = width
Therefore, the width of the swimming pool is 3 yards, which is option A.
I need help with this it too hard and I'm also trying to get caught up thankssss
Answer:
the picture is to blurry to interpret
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
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.-
Help pls answer and explain the question below (comes with pic)
The following scatter plot represents the scores of thirteen students on a geography test compared to the number of hours that each student studied for the test. Use the line of best fit to predict the score of a student who studied three hours for the test.
Answer:
95
Step-by-step explanation:
Looking at the graph, we can find the red line. The red line passes through the following coordinates (x,y): (0,65), (1, 75), (2, 85) and (3,95).
We know that x is the number of hours studied, and y is the score. If x=3, and y=95, then a student that studied three hours for the test will most likely score 95%.
Hope this helps! Good luck on your homework!
Two rectangles are in a proportional relationship. The scale factor for sizing up rectangle A to the size of rectangle B is 5/2. The length of rectangle A is 6 m and the width is 4 m. Find the area of rectangle B. (A=l∙w)
Answer:
Answer is option B
Step-by-step explanation:
48:6=8:1. applies to 64:8=8:1
Answer:b
Step-by-step explanation:
please I only have an hour left so can you help me with both?
A prism is completely filled with 540 cubes that have edge length of 1/3 cm.
What is the volume of the prism?
Answer: 20
Step-by-step explanation:Each little cube is 1/27 cm cubed. If you multiply by 540, you get 540/27. This equals 20.
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
Preimage polygon VWYZ and image polygon V′W′Y′Z′ are shown on a coordinate plane.
What transformation takes polygon VWYZ to polygon V′W′Y′Z′?
Vertical translation
90° clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
Answer: reflection across the x-axis
Step-by-step explanation: It would either be a reflection or a translation, but because of the locations of the image compared to the pre-image it has to be a reflection. For example, Y and Y' are equidistant from the x-axis. If this was a translation the whole image would have "slid" down and Y' would be where Z' is.
Answer: THe answer is verticle translation and NOT a reflection over an axis because the letters on the corner of the box would be opposite not equal.
Step-by-step explanation: i did the test
Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?
Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)
The correct answer is Point A' is located at (-5, -4).
When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).
ASAP! WHOEVER ANSWERS RIGHT GETS BRAINLIESTS OR WHATEVER ITS CALLED A college cafeteria is looking for a new dessert to offer its 5,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 1,800 students who prefer ice cream.
The college will have about 800 students who prefer ice cream.
The college will have about 600 students who prefer ice cream.
The college will have about 144 students who prefer ice cream.
Answer: the college will have about 600 students who prefer ice cream
Step-by-step explanation: add them up multiple by225 and then divide
Answer:
Step-by-step explanation:
Given, A college cafeteria is looking for a new dessert to offer its to 5,000 and the sample is 225,
it is, (5000/225)=22.22 time the sample.
from the table 27 students prefer cookies.
the college is required to make (22.22x27)=600
The college will have about 600 students who prefer ice cream.
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.
What is the circumference of the circle with a radius of 4.5 meters? Approximate using π = 3.14.
14.13 meters
28.26 meters
56.52 meters
63.59 meters
Answer: the circumference of this circle is : 28.26 meters.
Step-by-step explanation:
The formula for circumference is = 2*pi*radius
Here,
pi=3.14
radius=4.5meters
hence,
using the formula; 2*pi*r
circumference =2 * 3.14 * 4.5m
circumference = 28.26 meters.
Answer:
The Circumference of circle os 28.26 meters.
Step-by-step explanation:
Given : Radius of circle is 4.5 meter
To Find : Circumference of circle
Using Formula :
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
Solution :
Finding the Circumference of circle by substituting all the given values in the formula :
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
[tex]\leadsto\sf{Circumference_{(Circle)} = 2 \times \pi \times r}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 2 \times 3.14\times 4.5}}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 6.28\times 4.5}}[/tex]
[tex]\sf{\leadsto{Circumference_{(Circle)} = 28.28 \: meteres}}[/tex]
Hence, the Circumference of circle is 28.26 meters.
————————————————PLS HELP ASAP!!! WILL GIVE BRAINLIEST!!
The probability that the next Yankees game will be rained out is 2/5.
The probability that they will win their next game is 3/4.
What is he probability that it does not rain and the Yankees win?
(A) 11/20
(B) 5/9
(C) 9/20
(D) 1/4
Answer: C 9/20
Step-by-step explanation:
the odds the yankees don't get rain is 3/5. The odds they win are 3/4. 3/5x3/4=9/20
Answer:
(C), 9/20
Step-by-step explanation:
If the probability that the next Yankees game will be rained out is 2/5, this must mean than, theoretically, two times out of five, the game will be rained out.
This also means than three times out of five, it will not be rained out, so the probability that it will not be rained out is 3/5 (1-(2/5)=3/5)
We know that the probability that they will win their next game is 3/4.
We need to find the probability that it doesn't rain and the Yankees win. TO do this, we multiply both probabilities together. So, we have:
[tex]\frac{3}{5} *\frac{3}{4} =\\\\\frac{9}{20}[/tex]
So, the answer is (C), 9/20.
There are 70 dogs and 55 cats at the
shelter. 7 dogs and 8 cats get adopted.
What % of the animals got adopted?
Answer: 12% of the animals at the shelter got adopted
Step-by-step explanation:
1) 7 + 8 = 15 total animals that got adopted
2) 70 + 55 = 125 total animals at the shelter (before the adoptions)
3) 15 ÷ 125 = 0.12
4) 0.12 × 100 = 12%
Hence, 12% of the animals at the shelter got adopted.
Answer: 12%
Step-by-step explanation: There are a total of 125 pets at the shelter between both cats and dogs. The number that got adopted was 15. 125x15x100%=12% Good luck!
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)
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:
Mr.Robbins sold his house and deposited his $84,500 earnings into a savings account for one year. The account compounds at an annual rate of 3%. Find the amount that Mr.Robbins will have at the end of the year.
Answer:
Mr. Robbins will have $87,035 at the end of the year!
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:
A scatter plot is shown.
Which of these statements are true for the scatter plot? Select all that apply.
The scatter plot shows a negative association
The scatter plot shows a nonlinear association
The scatter plot shows two clusters of a data
The scatter plot shows a positive association
The scatter plot shows an outlinear
Answer: The scatter plot shows a nonlinear association
The scatter plot shows a negative association
Step-by-step explanation:
What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
Responses
A 2
B 6
C 3
D 4
Answer: 4
Step-by-step explanation:
c1: c2:
H - H
T - T
T - H
H - T
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
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