Answer:
(A.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 18 mm, YZ = 20 mm, and XZ = 39 mm. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to the triangle inequality theorem. In this case, XY + YZ = 18 mm + 20 mm = 38 mm, which is greater than XZ = 39 mm, satisfying the triangle inequality theorem.
(B.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 20 mm, and XZ = 36 mm. This is because XY + YZ = 17 mm + 20 mm = 37 mm, which is greater than XZ = 36 mm, satisfying the triangle inequality theorem.
(C.) A triangle will not be formed with vertices X, Y, and Z with side lengths XY = 16 mm, YZ = 20 mm, and XZ = 37 mm. This is because XY + YZ = 16 mm + 20 mm = 36 mm, which is not greater than XZ = 37 mm, violating the triangle inequality theorem.
(D.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 19 mm, and XZ = 37 mm. This is because XY + YZ = 17 mm + 19 mm = 36 mm, which is greater than XZ = 37 mm, satisfying the triangle inequality theorem.
Step-by-step explanation:
Mrs. Tinney’s class has the following scores on their most recent test:
100 98 95 88 72 66 60 78 80
80
1. Calculate the five-number summary and use it to draw (and label) your box and whisker plot on a number line. Show your work for all calculations.
2. If Mrs. Aguiar’s class has a five-number summary of 50, 60, 70, 80, and 95, which class’ scores are more consistent? How do you know?
3. The mean for Mrs. Tinney’s class is 85 and the mean for Mrs. Aguiar’s class is 70. What conjecture could we make about symmetry? Explain.
Answer:
1. Five-number summary for Mrs. Tinney's class scores:Minimum (Min): 60
First Quartile (Q1): 72
Median (Q2 or Median): 80
Third Quartile (Q3): 88
Maximum (Max): 100To draw the box and whisker plot, we can plot these
values on a number line:
| | | | |
60 72 80 88 95 100
We can then draw a box from Q1 to Q3, with a line inside representing the median (Q2), and draw whiskers from the box to Min and Max.
2. Mrs. Aguiar's class scores are more consistent compared to Mrs. Tinney's class scores. This can be determined from the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1) in a box and whisker plot. A smaller IQR indicates less variability in the data and hence more consistency. In this case, Mrs. Aguiar's class has an IQR of 80 - 60 = 20, while Mrs. Tinney's class has an IQR of 88 - 72 = 16. Therefore, Mrs. Aguiar's class scores are more consistent.
3. Based on the mean values, we can make a conjecture about symmetry. The mean is a measure of central tendency that represents the average of a set of data points. If the mean is close to the median, it suggests that the data is approximately symmetric. In this case, the mean for Mrs. Tinney's class is 85, which is closer to the median (Q2) of 80, indicating approximate symmetry. On the other hand, the mean for Mrs. Aguiar's class is 70, which is not close to the median of 80, suggesting that the data may not be symmetric. However, further analysis using other measures of skewness or visualization techniques may be needed for a more conclusive assessment of symmetry.
Suppose the trip take 3 hours and 15 minutes of driving time for the 124-mile round trip. What is the average speed of the buses in miles per hour?
Answer:
38.1538461538
Step-by-step explanation:
124 miles divided by 3hr 15min or 3.25 hr is 38.1538461538
Answer: 38 mph
Step-by-step explanation:
15/60= .25
3.25 hours, 124 miles
124 miles/ 3.25 hrs = 38.154 mph
Please help me quickly!!
Answer: 1000/3
Step-by-step explanation: 3years = 1000
A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 27 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.
8.5 feet
10.8 feet
12 feet
21.4 feet
Answer:
Let s be the height of the tree's shadow.
We set up and solve this proportion:
5/2 = 27/s
5s = 54
s = 10.8 feet
The length of the tree's shadow is 10.8 feet.
Which value from the set { -6, -4, -1, 0, 2, 4} satisfy the inequality?
−1/2x + 4 ≥ 6
Answer:
-4
Step-by-step explanation:
To find the value from the given set that satisfies the inequality, we can substitute each value into the inequality and see which one makes it true.
−1/2x + 4 ≥ 6
Subtracting 4 from both sides:
−1/2x ≥ 2
Multiplying both sides by -2 (and reversing the inequality):
x ≤ -4
Now we can check each value from the set and see which one satisfies the inequality:
-6 ≤ -4 (not true)
-4 ≤ -4 (true)
-1/2 ≤ -4 (not true)
0 ≤ -4 (not true)
2 ≤ -4 (not true)
4 ≤ -4 (not true)
Therefore, the only value that satisfies the inequality is -4.
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (4, 5), (9, −12), and (4, −12). Find the missing vertex and the area of the flag in square inches?
The missing vertex is (5, 9) with an area of 44 in2.
The missing vertex is (−12, 5) with an area of 85 in2.
The missing vertex is (9, 5) with an area of 85 in2.
The missing vertex is (−12, 9) with an area of 44 in2.
Answer:
The missing vertex is (9, 5), and the area is 85 in.².
HELP PLS! MIDDLE SCHOOL MATH!!!!
You spin the spinner once.
What is P(7)?
Write your answer as a percentage rounded to the nearest tenth.
PLS LOOK AT THE IMAGE!!!!
Convert to military time:
9:15 A.M.
Answer:
To convert 9:15 A.M. to military time, we can follow these steps:
1. Determine if the given time is in the morning or afternoon. In this case, "A.M." indicates that it is in the morning.
2. Identify if the given hour is between 1 and 11. In this case, the hour is 9, which falls within this range.
3. For morning hours, we keep the hour as it is. So, the hour remains 9.
4. Write the minutes as they are. In this case, the minutes are 15.
Putting it all together, 9:15 A.M. in military time is simply 0915 hours.
Please Vote For Brainliest!
please help on this one
Answer:
its the second one because 15 divided by 3 is 5, not 6.
I like your profile pic by the way, I love newjeans :)))
please help me with this
Answer:
Step-by-step explanation:
The angles GCJ and ACB are congruent.
So GCJ=ACB=63°.
And in Triangle ABC the sum of all angles is 180°.
Such an angle of BAC is calculated by:
The sum of all angles = ABC + BCA + CAB
180 = 90 + 63 + CAB
CAB = 27°
Then again angle KAI and CAB are congruent then
KAI = 27°
Read more about congruent angles:
brainly.in/question/224583081
Please help!! And also explain how you did it please, this is just a review before my final test!♡♡ ty♡
Answer:
3x+6=5x
6=-3x
6= 2x
x=3
y= 5(3)
y=15
4.) A kilo of banana in the market is 5 pesos more than thrice the kilo of tomato. If a kilo of tomato costs 15 pesos, how much does a kilo of banana costs?
A. 20 pesos
B. 35 pesos
C. 40 pesos
D. 50 pesos
pls help me, I need this rn. with solution pls, show the solution how did you get the answer.
can someone help me plot these??
(+30 points)
Answer:
Heres the answer to your question. Hope this helps!
Please help asap! Finding the Volume of a Cylinder... Tysm!♡♡
Answer:
i belive its 22Step-by-step explanation:
V = 22To find the volume of 11 x 2, you need to know the third dimension, as volume is a three-dimensional measure. Assuming you mean the dimensions of a rectangular solid, you would need to know the height or depth of the object to calculate the volume. As for screen time for children, the American Academy of Pediatrics recommends limiting it to one hour per day for children aged 2-5 and to no more than two hours per day for children aged 6 and older. Engaging in creative play can help children develop important skills, such as problem-solving and communication, while excessive screen time has been linked to negative effects on cognitive and social development.
and 11 x 2 = 22.Answer:
The answer is 22
Step-by-step explanation:
You have to multiply the base times the height (2 x 11) Doing that will get you 22 ft.
If you have any questions please ask me!
12) Identify the relationship in the figure.
A) Complementary angles
B) Supplementary angles
C) Adjacent angles
Answer: I believe it is COMPLEMENTARY
Step-by-step explanation:
I got you fam
what is the area of the real object that the scale drawing models?
( yes ik im not tooo smartt )
Answer:
90 square cm
Step-by-step explanation:
This is because if there is a ratio of 1:6 than you have to multiply the 1 by 6 to get what the area of the bigger square is. So 15x6 which equals 90.
Determine the direction and degree of rotation used to create the image.
90° counterclockwise rotation
270° clockwise rotation
90° clockwise rotation
180° clockwise rotation
Another math problem in need of help
Answer:
Yes, and it will hit at 20.5 ft (rounded)
Step-by-step explanation:
What is area of the composite shape? ___ sq. cm.
Answer:
216 cm^2
Step-by-step explanation:
14 x 12 = 168
(12 x 8)/2 = 48
168+48= 216
Answer:
216 cm^2
Step-by-step explanation:
Luke walked 6 blocks from his house to the bus stop. He rode the bus 24 blocks to the post office. Later, he came home the same way. How many blocks did Luke travel in all?
Answer:
60
Step-by-step explanation:
First you have to get how long it took to get there, you can do that by adding 6 and 24 (walking distance and bus ride distance) That will get you 30 now we need to times that by 2 to get how long it took to get there and to get back. That will make the answer 60!
If you have any questions please ask me! :)
Darla’s dinner at a restaurant cost $23.18 before tip. She wants to leave a 20% tip. What is the total cost of the dinner after Darla adds the tip?
Answer:
$27.816
Step-by-step explanation:
First we have to find out what 20% of 23.18 is. Let x represent the amount of the tip.
(cross multiply)
20 = x
100 23.18
20 x 23.18 = 463.6
463.6 ÷ 100 = 4.636
x = $4.636
Now we add the amount of the tip to the original price of the dinner.
23.18 + 4.636 = 27.816
Therefore the total cost of the dinner including the tip is $27.816
Ok, I'm having trouble with this question. I'm very bad at math and I find it difficult If u do answer please try to give an explanation that a person with ADHD can understand.
Answer:
55 6/9 is your answer.
Step-by-step explanation:
32 2/9 + 23 4/9 = 55 6/9.
the organic bulk food prices per pound are shown below. how much would it cost to purchase 2.5 lb (pounds) of each item.
BULK FOODS
$3.48 chocolate pretzels
$8.26 almonds
$4.98 trail mix
Answer: $41.81 in total
Step-by-step explanation:
3.48 x 2.5 = 8.7
8.26 x 2.5 = 20.65
4.98 x 2.5 = 12.45
8.7 + 20.65 + 12.45 = $41.8
The cost of chocolate pretzels for 2.5 pounds is $8.7.
The cost of almonds for 2.5 pounds is $20.65
The cost of trail mix for 2.5 pounds is $12.45.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
$3.48 chocolate pretzels
$8.26 almonds
$4.98 trail mix
So, the cost of chocolate pretzels for 2.5 pounds
= 3.48 x 2.5
= $8.7
and, the cost of almonds for 2.5 pounds
= 8.26 x 2.5
= $20.65
and, the cost of trail mix for 2.5 pounds
= 4.98 x 2.5
= $ 12.45
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
?? (,,•﹏•,,) please help <(_ _)>
Tysmm!♡☆
Answer:
The solution is ([4], [19]).
Step-by-step explanation:
To solve the system of equations using the substitution method, we can follow these steps:Step 1: Start with the given equations:
y = 4x + 3 (Equation 1)
y = 7 + 3x (Equation 2)Step 2: Choose one of the equations and solve for one of the variables in terms of the other variable. Let's choose Equation 1 and solve for y in terms of x:
y = 4x + 3Step 3: Substitute the expression for y from Equation 1 into Equation 2 and solve for x:
4x + 3 = 7 + 3x (Substituting y = 4x + 3 from Equation 1)
4x - 3x = 7 - 3
x = 4Step 4: Substitute the value of x found in Step 3 back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
y = 4(4) + 3 (Substituting x = 4)
y = 19So the solution to the system of equations is x = 4 and y = 19. Therefore, the solution is ([4], [19]).
Please help me fast!!
Answer:
In the given equations, "m" represents the slope of the line and "b" represents the y-intercept.
Part A includes four different equations, and they all have different values for "m" and "b". However, since there is no information about any changes in the equations or the values of "m" and "b", it is not clear which equation is being referred to in Part B.
Therefore, without additional context, it is impossible to determine whether "m" or "b" will change in the equation.
Determine the coordinates of triangle A′B′C′ if triangle ABC is rotated 270° clockwise.
A′(−2, 2), B′(3, −3), C′(−5, −2)
A′(2, −2), B′(−3, 3), C′(5, 2)
A′(2, 2), B′(−3, −3), C′(5, −2)
A′(2, −2), B′(−3, 3), C′(2, 5)
Answer:
Step-by-step explanation:
A′(2, 2), B′(−3, −3), C′(5, −2)
Sarah wants to predict how many t-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this.
Explain how the other homerooms' data support David's claim.
PLEASE HELP QUICK. THIS IS A TEST.
u can add 10 plus 8 u can get 18 or if u get other number u wrong
Find the circumference of a circular swimming pool with a diameter of 22 1/2
feet. Use 3.14 for π. Round to the nearest hundredth.
Answer:
C = 11.25π = 35.34 feet
C = 11.25(3.14) = 35.33 feet
— 35.33 feet
P.S — are you in seventh grade? because i am, and im doing this same topic (circumference,radius,pi,etc.)
Julie designs gardens for a living. For a year she kept track of the amount of time she spent designing the garden and then whether or not the customer returned. She recorded the time and probability that a customer returned.
If she wants to have the GREATEST probability that a customer returns, how long should she spend designing a garden?
Responses
A 2-3 hours
B 3-4 hours
C 1-2 hours
D 4-5 hours
Answer:
I don't know if I'm right so don't take my word for it but I think its D
Identify the relationship in the figure. Select all that apply.
A) Complementary angles
B) Supplementary angles
C) Adjacent angles
Answer: Adjacent Angles
Step-by-step explanation:
I got you fam