DUE TODAY!! LINEAR FUNCTIONS
What is an equation for the linear function whose graph contains the points (−1,−2) and a slope of 3?
Enter your answers in the boxes.
y+ ? = ? (x+1)
Answer:
The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:
y - (-2) = 3(x - (-1))
Simplifying this equation, we get:
y + 2 = 3(x + 1)
So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).
Find the area of the figure.
A. 100cm ^2
B. 106cm ^2
C. 90cm ^2
D. 41cm ^2
E. 95cm ^2
Find the slope of the line that passes through (8, 5) and (3, 1)
PLEASE HELP
Answer: m = 4/5
Step-by-step explanation:
Use the slope formula
[tex]y_{2}-y_{1}/ x_{2} - x_{1}[/tex]
Let's plug in the points:
5 - 1 / 8 - 3
4/5
So, m=4/5
Answer:
A) [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Slope formula given 2 points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_1}[/tex]
Our points are (8,5) and (3,1)
Substitute:
[tex]\frac{1-5}{3-8} \\=\frac{-4}{-5}[/tex]
negatives cancel out:
=[tex]\frac{4}{5}[/tex]
Hope this helps! :)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning
Answer: Please refer below mentioned explanation.
Step-by-step explanation:
Part A:
For Bay Side School: To find the median, we arrange the data in ascending order: 0, 0, 2, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8 There are 13 data points, so the median is the 7th value, which is 5.
To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 2 + 3 + 4 + 5 + 5 + 5 + 6 + 6 + 8 + 8 + 8) / 13 = 66 / 13 ≈ 5.08
For Seaside School: To find the median, we arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 5, 5, 5, 6, 7, 7, 8, 8 There are 15 data points, so the median is the 8th value, which is 5.
To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 0 + 1 + 1 + 2 + 2 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8) / 15 = 57 / 15 ≈ 3.80
Part B:
For Bay Side School: Range = Maximum value - Minimum value = 8 - 0 = 8
For Seaside School: Range = Maximum value - Minimum value = 8 - 0 = 8
Part C:
Based on the measures of the center, Bay Side School has a higher mean and median compared to Seaside School. This suggests that, on average, Bay Side School tends to have larger class sizes than Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice. Additionally, both schools have the same range of 8, indicating that the spread of class sizes is similar between the two schools.
Read more about stem-and-leaf-plot:
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PLEASE NO WRONG ANSWERS
What is the sum of the angle measures in this shape?
A) 180∘
B) 540∘
C) 720∘
D) 360∘
Answer:
B) 540
Step-by-step explanation:
To find the sum of interior angles of a polygon, we can use the following formula:
(n-2)·180, where n is the number of sides the polygon has.
In this case, this polygon has 5 sides, which makes it a pentagon.
(n-2)·180
substitute
(5-2)·180
simplify
3·180
=540
So, the total sum is 540°.
Hope this helps! :)
Answer: B) 540 degrees
Step-by-step explanation:
The formula for interior angles of a polygon is 180(n-2). N is the number of sides.
Plug the given values into the equation:
180(5-2)=180*3=540
The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.
For a school project, Derek is investigating cell phone use in his hometown, Somerville. So far, he has found that the residents of Somerville used their cell phones for 11,609 minutes this year. Compared to last year, that is 30% more. For how many minutes did the residents of Somerville use their cell phones last year?
Answer:
Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.
Step-by-step explanation:
To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.
Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).
According to the information given, this year's cell phone usage is 30% more than last year's, so we can express this as:
x + 0.3x = 11609
Combining like terms, we have:
1.3x = 11609
To isolate the variable, we divide both sides of the equation by 1.3:
x = 11609 / 1.3
Simplifying the calculation, we find:
x ≈ 8930
Answer:
Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.
Step-by-step explanation:
To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.
Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).
bag of marbles has different 3 different colors. The table shows the number of times each color was randomly pulled from the bag and then placed back into the bag. Find the probability of pink.
Color Frequency
Pink 12
Blue 10
Orange 16
Note: Enter your answer as a fraction.
Always reduce fractions.
Answer:
6/19 for a fraction answer 31.6 for a decimal answer
Step-by-step explanation:
we want to find the probabilty for pink
so lets add all of the marbels together
all them equal 38
we only want to find the probabilty for pink
so we are gonna put 12 over 38 ( which looks like this : 12/38)
we want to simplify it and the simplified verson of 12/38 is 6/19
that could be your total number if they want it as a fraction if they want it as a decimal put 6/19 in your calcalator and that will come up as 0.315789473684 then press times 100 which will put it in the correct spot with will come up as 31.5789473684 since there is a 7 next to the 5
I rounded it up to 31.6 but if the problem doesnt ask for it to be rounded up I guess you can keep it as 31.5
I hope this helps hon !!
PLEASE HELP!! ThANK YOU
Answer: i think it is 2 1/8 inches and can you please give brainlest
Step-by-step explanation:
PLEASE HELP!! THANK YOUUA
Answer:
13/8 in
Step-by-step explanation:
1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.
2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8
What could thy the ansewr diddly dot be?
Answer:
The answer is B
answer should be b because only Gypsy can found ın drywals
please help i dont know this!!!!
Answer:
37.5 square feet
Step-by-step explanation:
Let me break it down into simple terms:
The question states, "cube with this net".
A cube has all 6 surfaces that are equal. The surface area is the area of each side added up.
In this case, since this net would form a cube, we can use the formula:
6·area of 1 square to get the surface area of the entire net.
We know that to find the area of a shape, it's simply length times width:
2.5x2.5
=6.25
Now, substitute that into the original equation (6·area of 1 square)
6(6.25)
=37.5
The surface area of this net is 37.5 square feet.
Hope this helps! :)
Please answer the question below!! :)
Answer:
14,1
14,2
14,3
14,4
14,5
14,6
14,7
14,8
14,9
14,10
14,11
14,12
14,13
14,14
14,15
14,16
The equation is they are adding 1 on the Y so they are going 1 unit up.
Step-by-step explanation:
14 is X
and to solve coordinates graph
(X,Y)
Hope That's Help!
What is the surface area of the triangular prism?
A. 255cm ^2
B. 216cm ^2
C. 144cm ^2
D. 256cm ^2
Answer:
B. 216
Step-by-step explanation:
the formula for this is (S1+S2+S3) L+ BH
so when we plug that in it would be
(5+6+5)12+6*4
and when that is solved it ends up being 216
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches
Answer:
45
Step-by-step explanation:
The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.
Using Mean and Median to Decide the Tallest TeamBy using mean and median, we can know which team typically has the tallest players
For the Allstars:
Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:
Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches
Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:
Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73
Median = 68 inches
For the Champs:
Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:
Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches
Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:
Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75
Median = 67 inches
The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.
Learn more about mean and median here:
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6^{2} + b^{2} = 8^{2}
Answer:
-{2√7} or {2√7}
Step-by-step explanation:
1) Simplify the exponents 6^2 and 8^2 by multiplying 6*6=36 and 8*8=64.
2) Write an equation, 36+b^2=64
3) Subtract 36 from both sides, b^2=28
4) Apply a square root to both sides, √(b^2)=√(28)
5) Simplify the equation, b=-√(28) or b=√28
6) If you want, factor the square root by finding a factor that is a square number, -{√(4)*√7} or {√(4)*√7}; -{2√7} or {2√7}
What is the area of this trapezoid?
Enter your answer in the box.
Answer:
352
Step-by-step explanation:
The formula is 1/2(B1 + B2)H
1/2(13 + 31)16
1/2(44)16
1/2(704)
352
Answer:
Step-by-step explanation: 352ft^2 A=a+b
2h=13+31
2·16=352
Math Question; Help
Write 1.6 x 10^3 in Standard form.
Answer: 1.6 x 10x10x10
Step-by-step explanation:
The exponent (3) signifies that you should write three tens.
1.6 x 10³ is written in standard form as 1600.
Scientific notation is a way of writing very large or very small numbers It is usually used to depict microscopic or macroscopic objects. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Scientific forms of numbers are compact and take up less space. They are raised to exponents, whereas standard forms are complex and provide the numerical notation taking up more space.
According to the given question the number 1.6×10³ is written in scientific form we have to convert this number into standard form.
We know 10³ = 1000.
∴ 1.6×10³ = 1.6 × 1000.
= 1600.
To learn more about scientific notation and standard forms,
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A manufacturer inspects 50 computer monitors and finds that 45 have no defects. What is the experimental probability that a monitor chosen at random has no defects?
Answer:
The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations.
In this case, the event is choosing a monitor with no defects, and the number of times the event occurs is 45. The total number of monitors is 50.
So, the experimental probability of choosing a monitor with no defects is:
45/50 = 0.9
Therefore, the experimental probability that a monitor chosen at random has no defects is 0.9 or 90%.
The probability of choosing a red marble at random from a bag is 1/5. What are the odds in favor of choosing a red marble
Answer:
1 : 4
Step-by-step explanation:
You want the odds in favor of an event with a probability of 1/5.
OddsThe odds in favor of an event with probability p are ...
p : (1 -p)
Here, that is ...
1/5 : (1 -1/5) = (1/5) : (4/5) = 1 : 4
The odds in favor of choosing a red marble are 1 : 4.
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PLEASE HELP QUICKLYYYYY
Answer:
$20 per week
Step-by-step explanation:
w means weeks, so the 20 could not mean weeks. The 20 is how much money is earned each week.
PLEASEE HURRY AND HELP ME NO WRONG ANSWERS :( !!!!!!!!!!
LOOK AT THE IMAGES BELOW !!!!!!!!!!!!!
Answer:
Hello, for the first one, the answer should be (C) 3
The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.
2x3=6
3x3=9
Therefore, the scale factor is (C) 3.
#5: The answer is (D): 4
Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.
Therefore, the answer is (D): 4
Hope this helped! Sorry for the complications <33
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
What is the measure of the missing angle?
A) 30∘
B) 31∘
C) 32∘
D) 33∘
HELP PLEASE LOOK AT THE IMAGE NO WRONG ANSWERS
Answer:
D) 33 degrees
Step-by-step explanation:
All interior angles of a quadrilateral must equal 360 degrees.
We have 3/4 angles, so let's write an equation:
360=x+265+32+30
simplify
360=327+x
subtract 327 from both sides
33=x
So, D is the correct option.
Hope this helps! :)
g more than the quotient of 9 and h
Answer:
what .... cwn you explain
Are the data shown in this line plot skewed left, skewed right, or not skewed?
skewed right
skewed left
not skewed
Answer: The answer is that the date is skewed left...
Step-by-step explanation: It's ironic, but if it's "heavier" on the left side, the data is right skewed, and vice versa.
Jeff spends $2.52 per gallon of gas and buys 14 gallons. Anna spends $2.16 per gallon of gas and buys 15 gallons.
How much more does Jeff spend than Anna on gas?
Step-by-step explanation:
Jeff spends $2.52 per gallon and buys 14 gallons, so his total expenditure is:
Total spent by Jeff = $2.52/gallon * 14 gallons = $35.28
Anna spends $2.16 per gallon and buys 15 gallons, so her total expenditure is:
Total spent by Anna = $2.16/gallon * 15 gallons = $32.40
To find the difference in their expenditures, we subtract Anna's total from Jeff's total:
Difference = Total spent by Jeff - Total spent by Anna
Difference = $35.28 - $32.40 = $2.88
Therefore, Jeff spends $2.88 more than Anna on gas.
What is the interquartile range of this data set?
Answer:
IQR = 13
Step-by-step explanation:
First, lay out the set of data in a line.
20, 25, 30, 30, 31, 40, 41, 49
Next, we have to find the median, which is the middle of the set of data.
It is between 30 and 31, which is 30.5. Another way to find it is:
30 + 31 = 61
61 ÷ 2 = 30.5
Using that, we mark it between 30 and 31. Next, use the line of the mark, you use to separate the data into two.
20, 25, 30, 30 | 31, 40, 41, 49
Now, you find the median for each side. The left side will be the lower quartile, and the right side will be the upper quartile.
LQR = 25 + 30 = 27.5
UQR = 40 + 41 = 40.5
Now to find the IQR, you subtract the LQR from the UQR:
40.5 - 27.5 = 13
IQR = 13
please give me brainliest if it's correct!! I'd really appreciate it
A quality control inspector rejects 253 can openers from a batch of 19,354. What is the experimental probability that a can opener will pass inspection?
Round your answer to the nearest hundredth.
Answer:
0.99
Step-by-step explanation:
To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:
Passed inspection: [tex]19,354 -253=19.101[/tex]
Experimental probability: [tex]19,101[/tex]÷[tex]19,354=0.987[/tex]
Which rounded to the nearest hundredth is 0.99
PLEASEEE HELPPP
The distance from the Sun to Planet A is 3.59×10^5 miles. The distance from the Sun to Planet B is 2.79×10^4 miles. How far is Planet A from Planet B in miles?
LOOK AT THE IMAGE NO WRONG ANWERS
Answer:
C: 0.8×10^1
Step-by-step explanation:
Im 99.9% sure this is right!
STOMP IF I'M WRONG
have a good day/night!
Answer:
3.311 ×10⁵ miles
Step-by-step explanation:
Distance between planet A and sun = 35.9 ×10⁴ miles
= 3.59 ×10⁵ miles
Distance between planet B and sun = 2.79 ×10⁵ miles
Distance between planet A and planet B = Distance between planet and sun - Distance between planet B and sun
= 3.59 ×10⁵ - 0.279 ×10⁵
= 3.311 ×10⁵ miles
Customers who buy a fidget toy sold by an online store can give the fidget toy a rating from 1 star to 5 stars. The frequency able shows the number of 1-star, 2-star, 3-star, 4-star, and -star ratings.
Answer:
The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:
Rating Frequency
1 star 10
2 stars 20
3 stars 30
4 stars 15
5 stars 25
In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.
By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.
Step-by-step explanation: