2.29 is less than the MAD of 2.53, it would not be unlikely to get a box with 31 red pencils based on the MAD for the given data set.
What is the data set?To determine whether it would be unlikely to get a box with 31 red pencils based on the Mean Absolute Deviation (MAD) for the given data set, we first need to calculate the MAD.
Step 1: Calculate the mean of the data set
The given data set is: 22, 28, 30, 28, 35, 30, 28
The mean is calculated by adding up all the numbers and dividing by the total number of values:
Mean = (22 + 28 + 30 + 28 + 35 + 30 + 28) / 7 = 201 / 7 = 28.71 (rounded to two decimal places)
Step 2: Calculate the absolute deviations
The absolute deviation for each data point is calculated by finding the absolute difference between the data point and the mean:
|22 - 28.71| = 6.71
|28 - 28.71| = 0.71
|30 - 28.71| = 1.29
|28 - 28.71| = 0.71
|35 - 28.71| = 6.29
|30 - 28.71| = 1.29
|28 - 28.71| = 0.71
Step 3: Calculate the MAD
The MAD is the mean of the absolute deviations:
MAD = (6.71 + 0.71 + 1.29 + 0.71 + 6.29 + 1.29 + 0.71) / 7 = 17.71 / 7 = 2.53 (rounded to two decimal places)
Now, to determine whether it would be unlikely to get a box with 31 red pencils, we can compare 31 with the MAD. If the difference between 31 and the mean (28.71) is greater than the MAD (2.53), then it would be unlikely.
Difference = 31 - 28.71 = 2.29
Since 2.29 is less than the MAD of 2.53, it would not be unlikely to get a box with 31 red pencils based on the MAD for the given data set.
To know more about data set here:
https://brainly.com/question/19243813
#SPJ1
Question
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
[tex] \frac{36}{12} = \frac{39}{x - 10} [/tex]
[tex] 3 = \frac{39}{x - 10} [/tex]
[tex]3(x - 10) = 39[/tex]
[tex]x - 10 = 13[/tex]
[tex]x = 23[/tex]
Four out of 5 freshmen study algebra. How many study
algebra in a class of 400?
Answer:
4/5 ×400
0.8 × 400
=320 freshmen study algebra.
I had used fraction method.
Solve the inequality for the variable: 2(3c + 15) + 4c > 100
Answer:
c > 7
Step-by-step explanation:
Now we have to,
→ Find the required value of c.
The equation is,
→ 2(3c + 15) + 4c > 100
Then the value of c will be,
→ 2(3c + 15) + 4c > 100
Applying Distributive property:
→ 2(3c) + 2(15) + 4c > 100
→ 6c + 30 + 4c > 100
Combining the like terms:
→ 10c + 30 > 100
→ 10c > 100 - 30
→ 10c > 70
Dividing the value 70 with 10:
→ c > 70 ÷ 10
→ [ c > 7 ]
Hence, the answer is c > 7.
Hello !
Answer:
[tex]\boxed{\sf c > 7 \ \ \ ||\ \ \ \sf (7,+\infty)}[/tex]
Step-by-step explanation:
We are looking for the values of c that satisfy the following inequality :
[tex]\sf 2(3c + 15) + 4c > 100[/tex]
Let's expand the left side of the inequality.
[tex]\sf 2\times 3c +2\times 15+4c > 100\\6c+30+4c > 100[/tex]
Now we will combine like terms :
[tex]\sf 10c+30 > 100[/tex]
Let's substract 30 from both sides of the inequality.
[tex]\sf 10c+30-30 > 100-30\\10c > 70[/tex]
Finally, let's divide both sides by 10.
10>0 so the inequality remains the same.
[tex]\sf\frac{10c}{10} > \frac{70}{10} \\\boxed{\sf c > 7}[/tex]
Have a nice day ;)
Solve the following equation in natural numbers: x^2-y^2=303
Pls Answer! I will give whoever get's it right more points!
The solution in natural numbers for the equation is x = 100 and y = 1.
What is natural number?The positive integers 1, 2, 3, 4, 5,... are known as "natural numbers." N stands for the set of natural numbers. Natural numbers are the building blocks of mathematical operations including addition, subtraction, multiplication, and division. They are also used to count objects. They make up a portion of the set of whole numbers, which also contains the natural numbers and 0 as well. There is no biggest natural number since the collection of natural numbers is endless and unbounded.
To determine the solution of the equation we use the difference of square identity given as:
(x + y)(x - y).
Now, for the given function we have:
(x - y)(x + y = 303
The two factors of 303 are 101 and 99.
Thus,
x + y = 101
x - y = 99
Adding the two equations we have:
2x = 200
x = 100
Now, for x = 100 the value of y is:
100 - y = 99
y = 1
Hence, the solution in natural numbers is x = 100 and y = 1.
Learn more about natural numbers here:
https://brainly.com/question/17429689
#SPJ1
URGENT - Will also give brainliest to simple answer
The area of the sector in terms of pi is: 75π cm²
The Length of arc = 15π cm
What is the Area of a Sector and Length of an Arc of a Circle?Area of a sector = ∅/360 * πr²
Length of arc = ∅/360 * 2πr, where r is the radius and ∅ is the reference angle.
Given the following:
Reference angle (∅) = 270°
Radius of circle (r) = 10 cm
Area of the sector = 270/360 * π * 10²
Area of the sector = 75π cm²
Length of arc = 15π cm
Learn more about the area of sector on:
https://brainly.com/question/9790386
#SPJ1
the graph of p(x)=2(x-4) is translated 2 units right and down 1 unit. What is the equation of the translated function q(x) in slope intercept form
The equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.
What is the equation of the translated function q(x)The function p(x) = 2(x - 4) can be rewritten in slope-intercept form as:
p(x) = 2x - 8
To translate the graph of p(x) two units to the right and one unit down, we need to make the following adjustments to the equation:
To shift the graph two units to the right, we need to replace x with (x - 2).To shift the graph one unit down, we need to subtract 1 from the entire equation.So the equation of the translated function q(x) in slope-intercept form is:
q(x) = 2(x - 2) - 8 - 1
Simplifying, we get:
q(x) = 2x - 13
Therefore, the equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.
Read more about transformation at
https://brainly.com/question/1548871
#SPJ1
If the dimensions of a prism with surface area 42 m^2 and volume 18 m^3 are enlarged by a factor of 4, what is the surface area and volume of the prism?
SA = 2lw + 2lh + 2wh = 42 m^2 ... (1)
And the volume of the original prism is given by:
V = lwh = 18 m^3 ... (2)
If you enlarge the dimensions of the prism by a factor of 4, then the new dimensions will be 4l, 4w, and 4h. The new surface area of the prism will be:
New SA = 2(4l)(4w) + 2(4l)(4h) + 2(4w)(4h)
= 32lw + 32lh + 32wh
= 32(2lw + 2lh + 2wh)
= 32(42)
= 1344 m^2
So, the surface area of the enlarged prism is 1344 m^2.
Similarly, the new volume of the prism will be:
New V = (4l)(4w)(4h)
= 64lwh
= 64(18)
= 1152 m^3
So, the volume of the enlarged prism is 1152 m^3.
Therefore, the surface area of the prism is 1344 m^2 and the volume of the prism is 1152 m^3 after the dimensions are enlarged by a factor of 4.
*IG:whis.sama_ent
UFind the coordinates of P so that P partitions AB in the ratio 1 to
The coordinates of P that partitions AB in the ratio 1 to 3 include the following: [4, -4].
How to determine the coordinates of point P?In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 1 to 3.
In Mathematics and Geometry, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical equation:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given parameters into the formula for line ratio, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(1(6) + 3(2))/(1 + 3)], [(1(6) + 3(-6))/(1 + 3)]
P(x, y) = [(6 + 6)/(3)], [(6 - 18)/3]
P(x, y) = [12/3], [(-12)/(3)]
P(x, y) = [4, -4]
Read more on line ratio here: brainly.com/question/14457392
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is 10/9 minus negative 1 1/3 equal?
hi
10/9 - 11/3 = 10/9 - 33/9 = -23/9
Answer:
-23/9
Step-by-step explanation:
You would need to find a common denominator which would be 9.
The next step would be to combine the top 10-11 (times)3 over 9
Then you multiply -11 by 3 tp get 10 -33 /9
The last and final step would be tp subract 33 from 10 to get 33 -10
Which will led you to your final awnser which is -23/9
What is the relative frequency of students that are of the 1 to 5 class and are left handed?
Enter the answer as a percentage rounded to the nearest whole percentage
Class Left Right
1 to 5 17 25
6 to 10 23 23
10 to 12 32 48
The relative frequency of students that are of the 1 to 5 class and are left-handed is 40%.
What is relative frequency?Relative frequency is the ratio of the number of times an event occurs to the number of trials. This can be expressed as a fraction, a percentage, or a proportion.
This can be calculated using the following equation:
Relative Frequency = (Number of Left-Handed Students in 1 to 5 Class / Total Number of Students in 1 to 5 Class) x 100
Relative Frequency = (17 / (17 + 25)) x 100
Relative Frequency = 40%
This calculation shows that 40% of students in the 1 to 5 class are left-handed. This percentage can be rounded to the nearest whole percentage, giving the answer of 40%.
By comparing the relative frequency of left-handed students in the 1 to 5 class to the relative frequency in the other classes, it can be seen that the 1 to 5 class has the highest relative frequency of left-handed students.
This could be due to the developmental stage of students in this age group, as studies have shown that being left-handed is more common in children aged 5 to 10 than in adults.
Alternatively, it could be due to cultural factors, such as left-handed students feeling more comfortable in the 1 to 5 class due to the younger age group.
For more questions related to event
https://brainly.com/question/29782219
#SPJ1
4. Construct a circle with center V. Construct an equilateral triangle RST inscribed within the circle.
A circle with center V and an inscribed equilateral triangle RST.
What is circle?
A circle is a closed two-dimensional shape consisting of all the points that are equidistant from a given point, called the center.
To construct a circle with center V and an inscribed equilateral triangle RST, follow these steps:
Draw point V as the center of the circle.
From point V, draw a radius that will serve as one side of the equilateral triangle RST. Label the endpoint of this radius as point S.
Using a compass, draw a circle with center V and radius VS. This circle will intersect the radius VS at two points, label these points as R and T.
Draw segments RT and RS to complete the equilateral triangle RST.
Your construction should show a circle with center V and an inscribed equilateral triangle RST.
To learn more about circle visit:
https://brainly.com/question/24375372
#SPJ1
Patricia is buying new kitchen cabinets, which are shaped as rectangular prisms. The cabinets are 34 inches tall, 24 inches deep, and 16 inches wide. What is the volume of the cabinets?
If the cabinets are 34 inches tall, 24 inches deep, and 16 inches wide, the volume of the kitchen cabinets is 16,384 cubic inches.
To find the volume of the rectangular prisms-shaped kitchen cabinets, we need to multiply the three dimensions: height, depth, and width. We are given the following measurements:
Height = 34 inches
Depth = 24 inches
Width = 16 inches
So the formula for the volume is:
Volume = Height x Depth x Width
Substituting the given values, we get:
Volume = 34 x 24 x 16
Volume = 16,384 cubic inches
To learn more about volume click on,
https://brainly.com/question/3455937
#SPJ4
the health care provider prescribes cefazolin 550 mg intramuscularly to a client. The nurse dilutes a 2-g vial of cefazolin (Ancef) with 3 mL of diluent to yield a volume of 3.2 mL. How many mL should the nurse administer if the physician orders 550 mg IM? Type the correct answer in the blank.
The nurse should administer 0.88 mL of the cefazolin solution for the 550 mg IM dose.
To determine the number of mL to administer for the 550 mg IM dose of cefazolin, follow these steps:
Determine the concentration of cefazolin per mL:
- You have a 2-g (2000 mg) vial of cefazolin that was diluted with 3 mL of diluent, yielding a total volume of 3.2 mL.
- Divide the total amount of cefazolin (2000 mg) by the total volume (3.2 mL) to find the concentration per mL: 2000 mg / 3.2 mL = 625 mg/mL.
Calculate the volume needed for the 550 mg dose:
- Divide the prescribed dose (550 mg) by the concentration per mL (625 mg/mL):
550 mg / 625 mg/mL = 0.88 mL.
For similar question on cefazolin.
https://brainly.com/question/30258181
#SPJ11
The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.
To determine the mL to administer for the 550 mg IM order of cefazolin, follow these steps:
1. Calculate the concentration of cefazolin in the solution:
- 2,000 mg (2-g vial) of cefazolin is diluted with 3 mL of diluent, yielding a volume of 3.2 mL.
- Concentration = (2,000 mg) / (3.2 mL) = 625 mg/mL
2. Determine the volume needed for the 550 mg prescribed dose:
- Volume = (Prescribed Dose) / (Concentration)
- Volume = (550 mg) / (625 mg/mL) = 0.88 mL
Cefazolin is an antibiotic used to treat various bacterial infections. The dosage of cefazolin depends on the type and severity of the infection, as well as the patient’s weight, age, and kidney function12. The usual adult dose for mild to moderate infections ranges from 250 mg to 1 g every 6 to 12 hours
The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.
to learn more about Volume click here:
https://brainly.com/question/28338582
#SPJ11
the time series component that reflects the random changes in a time series that are not caused by any other components, and tends to hide the existence of the more predictable components, is called:
The time series component that reflects the random changes in a time series that are not caused by any other components, and tends to hide the existence of the more predictable components, is called the "random" or "irregular" component.
It represents the noise or fluctuations in the time series that cannot be explained by any of the other components, such as trend, seasonality, or cyclical variations. The irregular component is also known as the "white noise" or "error" component, and it is typically modeled as a random process with zero mean and constant variance. It is important to separate out the irregular component from the other components in order to identify the underlying patterns and trends in the time series, and to make accurate forecasts and predictions.
what is white noise?
In time series analysis, "white noise" refers to a random process where the values at each point in time are independently and identically distributed with a mean of zero and a constant variance.
To learn more about blood white noise visit:
brainly.com/question/17019065
#SPJ11
[tex]6e/7=48\\[/tex]
The solution of the given equation 6e/7 = 48 is given by, e = 56.
Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.
Given the equation is,
6e/7 = 48
We have to solve this equation and have to find the value of 'e' which satisfy this equation.
Solving the given equation we get,
6e = 48*7 [On multiplying 7 with both sides]
6e = 336
e = 336/6 [On dividing 6 from both sides]
e = 56
Hence the solution of the given equation is, e = 56.
To know more about equation here
https://brainly.com/question/17145398
#SPJ1
o determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys 500 park users.
Why is this sample likely to be biased?
This sample is likely to be biased because it only includes individuals who use the city's parks, which means it may not represent the entire population of voters who would be affected by a tax increase to improve the parks.
What is sample?A sample is a subset or a smaller group of individuals or 17 that are selected from a larger population to represent the population.
According to question:The park commission's study of 500 park users is likely biassed because it only covers people who use the city's parks. This indicates that the sample does not accurately reflect the full electorate who would be impacted by a tax hike to fund park improvements.
Various people may hold various views regarding whether or not a tax increase is required to develop the parks. For instance, if they don't frequent the parks or have other priorities for their tax money, they might be less likely to approve a tax hike.
If the park commission only conducted surveys of people at specific times of day or in specific locations of the city, the sample may also be skewed. This could omit those who visit the parks at various hours or in various locations around the city.
In order to get accurate and valid results, it's crucial to utilise a representative sample that includes people from different demographic groups. A biased sample can produce results that are erroneous or misleading.
To know more about sample visit:
https://brainly.com/question/11045407
#SPJ1
Simplify 9/12x1/12=?
Answer: Exact Form:
1/16
Decimal Form:
0.0625
Step-by-step explanation:
Andre, Bilal, Glenna, and Juanita are all friends. They have given each other nicknames as well. The four nicknames are Boss, Buzz, Cosmo, and Tiger. The following clues, determine the nickname of each of the friends. friends are competing in the track and field day at their school. Using the Clues: 1. Juanita beat Tiger in the 400 m race, but Juanita lost to Buzz in the high jump. 2. Glenna and Tiger tied in the long jump, but Boss beat Glenna in the 1500 m 3. Cosmo, Tiger and Andre found the water station together after the first event. 4. Cosmo and Juanita ran separate legs on the relay race. race. Problem A Track and Field be helpful in solving this problem. The table below, with a column for each name and a row for each nickname, may Boss Buzz Cosmo Tiger Andre Bilal Glenna Juanita
Answer:vvv
Step-by-step explanation:
Boss's nickname is Boss because they beat Glenna in the 1500m race.
Buzz's nickname is Buzz because they beat Juanita in the high jump.
Cosmo's nickname is Cosmo because they were with Tiger and Andre at the water station.
Tiger's nickname is Tiger because they lost to Juanita in the 400m race and tied with Glenna in the long jump.
Andre's nickname is not given, but we know they ran a leg of the relay race with Bilal.
Bilal's nickname is not given, but we know they ran a leg of the relay race with Andre.
Glenna's nickname is not given, but we know they tied with Tiger in the long jump.
Juanita's nickname is not given, but we know they lost to Buzz in the high jump and beat Tiger in the 400m race, and ran a leg of the relay race with Cosmo.
To get system b below the second equation in system a was replaced by the sum of that equation and the first equation and the first equation in system a multiplied by -2
5x-y= -11
The answer of this question is equation [-6x+4y=16].
Define Equation?An equation is a mathematical statement that shows the equality between two expressions, typically separated by an equal sign. It can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.
What is system?In mathematics, a system refers to a collection of mathematical objects or entities that are related or interconnected in some way.
System A
5x-y=-11
3x-2y=-8
System B
5x-y=-11
-2(3x-2y)=-8×(-2)
5x-y=-11
-6x+4y=16
Learn more about system here:
https://brainly.com/question/31462941
#SPJ1
I don’t get it. I just came from a vacation
Answer:
the answer ur looking for would be B
Step-by-step
a survey of a random sample of 1280 students loan borrowers found that 448 had loans totaling more than $20,000 for their undergraduate education. construct a 95% confidence interval to estimate the population proportion of student load borrowers who have loans totaling more than $20,000.
The 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000 is approximately (0.3235, 0.3765).
To construct a 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000, we need to calculate the sample proportion, standard error, and critical value.
1. Sample proportion (p) = Number of students with loans over $20,000 / Total sample size
p = 448 / 1280 ≈ 0.35
2. Standard error (SE) = √(p * (1 - p) / n)
SE ≈ √(0.35 * (1 - 0.35) / 1280) ≈ 0.0135
3. For a 95% confidence interval, we use a critical value (z) of 1.96.
Margin of error (ME) = z * SE
ME ≈ 1.96 * 0.0135 ≈ 0.0265
4. Calculate the confidence interval:
Lower limit = p - ME ≈ 0.35 - 0.0265 ≈ 0.3235
Upper limit = p + ME ≈ 0.35 + 0.0265 ≈ 0.3765
Know more about borrowers here:
https://brainly.com/question/25599836
#SPJ11
Angles X and Y are supplementary. Angle X measures 115. 75° and angle Y measures (m − 8)°. Find m∠Y
The measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.
What is the supplementary angle?
Two angles are said to be supplementary if their sum is equal to 180 degrees. In other words, if angle A and angle B are supplementary, then:
A + B = 180.
Since angles X and Y are supplementary, their measures add up to 180 degrees. So we have:
X + Y = 180
Substituting the given values, we get:
115.75 + (m - 8) = 180
Simplifying, we get:
m - 8 = 180 - 115.75
m - 8 = 64.25
Adding 8 to both sides, we get:
m = 72.25
Therefore, the measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.
To learn more about the supplementary angle visit:
https://brainly.com/question/12919120
#SPJ1
THE RIGHT ANSWER GETS BRAINLIEST AND 30 POINTS ‼️‼️‼️‼️‼️‼️‼️‼️
The area of the figure is 160.6 unit²
How to find the area of the figure?
Since the figure is composed of a parallelogram and one semicircle, the area will be:
Area of figure = area of parallelogram + area of semicircle
Area of figure = bh + 1/2πr²
where b = 10, h = 6 and r = 8
Area of figure = (10*6) + (1/2 * 22/7 * 8²)
Area of figure = 60 + 100.6
Area of figure = 160.6 unit²
Learn more about area on:
https://brainly.com/question/22972014
#SPJ1
10. A cone has a Volume of 94.25cm ^ 3 If the radius of the cone is 3 cm, what is the height of the cone?
Answer:
10 cm
Step-by-step explanation:
V =1/3 x π x r² x h
94.25 =1/3 x π x 3² x h
94.25 ÷ 3π =h
so, h= 10 cm
JK and YA intersect at point C.
Find the measure of ZJCA.
C
123°
A
K
Angles
The measure of angle JCA is 57°
What are verically opposite angles?When two lines intersect, the opposite (X) angles are equal. This means ;
123° = JCY
and JCA = YCK ( verically opposite angles)
The sum of angle at a point is 360. This means the addition of all the angles above is 360°.
Representing angle JCA by x , therefore,
x+x +123+123 = 360°( angle at a point)
2x + 246 = 360
2x = 360-246
2x = 114
divide both sides by 2
x = 114/2
x = 57°
therefore the measure of angle JCA is 57°
learn more about vertically opposite angles from
https://brainly.com/question/1673457
#SPJ1
Establishing causality is often a main focus of statistical studies. What is the best type of study to conduct to establish causality? Use the situation in this task to support your answer
The best type of study is RCT randomized controlled trial.
What is statistical studies?The practise of gathering and analysing data with the purpose of identifying patterns and trends is known as statistical analysis. It is a technique for eliminating bias from data evaluation by using numerical analysis. This method is beneficial for gathering research interpretations, creating statistical models, and organising surveys and studies.
What is causality?In the false idea that there must be an underlying causal relationship because the data reveals a correlation, people frequently misunderstand and misuse the concept of causality in statistics. The best method for proving that two variables are causally related is to utillize a controlled study.
Randomised controlled trials (RCTs) are the most effective study design for proving causality. The treatment group in an RCT receives the intervention under study, whilst the control group either receives no intervention or a placebo. Participants are then randomly assigned to one of the two groups. The RCT helps to adjust for confounding variables and demonstrate a cause-and-effect relationship between the intervention and the result by randomly allocating participants.
To know more about statistic visit:
https://brainly.com/question/29093686
#SPJ1
UO
Graph each figure and classify it. Then find the area.
6. R(3,-2), S(7, -2), T(8, -6), V(1, -6)
22 unit² is the area of trapezoid .
In arithmetic, what is a polygon?
A polygon is a closed, one-dimensional, flat or planar structure that is circumscribed by straight sides. There are no curves on its sides. Polygonal edges are another name for the sides of a polygon. A polygon's vertices (or corners) are the places where two sides converge.
this is trapezoid .
area of trapezoid = 1/2 * sum of parallel side * height
= 1/2 * (3 + 8 ) * 4
= 22 unit²
Learn more about polygon
brainly.com/question/24464711
#SPJ1
Graph the data set. {(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)} Which kind of model best describes the data?
Answer:
linear
Step-by-step explanation:
i js took the test
The kind of model that best describes the data is a linear relation
Calculating the kind of model best describes the data?From the question, we have the following parameters that can be used in our computation:
{(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)}
In the above dataset, we can see that
As x increases by -1The values of y increases by -3Using the above as a guide, we have the following:
The relation has a constant rate of -3/-1
Evaluate
The relation has a constant rate of 3
Only linear relations have constant rates
Hence, the kind of model that best describes the data is a linear relation
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
An initial investment is $14275.
It grows at a rate of 6% a year.
Interest is compounded yearly.
What is the value after 18 years? Round your answer to the nearest
penny.
Answer: $34,828.59
Step-by-step explanation:
We can use the formula for compound interest to solve this problem:
A = P(1 + r)^t
where:
P = the principal (in this case, $14,275)
r = the annual interest rate (6%, or 0.06 as a decimal)
t = the number of years (18)
Plugging in the values we know, we get:
A = $14,275(1 + 0.06)^18
A = $14,275(1.06)^18
A = $34,828.59 (rounded to the nearest penny)
Therefore, the value of the investment after 18 years, rounded to the nearest penny, is $34,828.59
Write an inequality to compare -21 and -13 which temperature is warmer?
Answer:
[tex]-13 > -21[/tex]
-13 is the warmer temperature.
Step-by-step explanation:
When comparing negative numbers, the number closer to zero on the number line is greater.
(OR, the negative number that, if it was positive, would be less).
In this case, that number is -13.
We now know that -13 is greater than -21, so we can write this inequality:
[tex]-13 > -21[/tex]
In regards to temperature, greater numbers usually mean hotter temperature, so -13 is the warmer temperature.