Answer:
a.) 1908.30
b.) 96373.15
c.)302491.15
unrounded answers below
Step-by-step explanation:
The amount that is to be loaned out is 380000-110000=270000
The effective montly rate is .07/12=.005833333
a.)
[tex]270000=x(\frac{1-(1+.005833333)^{-(25*12)}}{.005833333})=1908.303833[/tex]
b.)
use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)
[tex]1908.303833(\frac{1-(1+.005833333)^{-(25*12-20*12)}}{.005833333})=96373.14775[/tex]
c.)
total paid= 1908.303833*12*25=572491.1499
amount of loan: 270000
Total interest paid:
572491.1499-270000=302491.1499
The math teacher and cheerleading coach have teamed up to help the students do better on their math test. The cheer coach, using dance move names for the positioning of their arms, yells out polynomial functions with different degrees.
For each position the coach yells out, write the shape by describing the position of your left and right arm.
a1. Constant Function:
a2. Positive Linear Function:
a3. Negative Linear Function:
a4. Positive Quadratic Function:
a5. Negative Quadratic Function:
a6. Positive Cubic Function:
a7. Negative Cubic Function:
a8. Positive Quartic Function:
a9. Negative Quartic Function:
When it comes time to take the test not only do the students have to describe the shape of the polynomial function, you have to find the number of positive and negative real zeros, including complex. Use the equation below:
[tex]f(x)=x^5-3x^4-5x^3+5x^2-6x+8[/tex]
b. Identify all possible rational zeros.
c. How many possible positive real zeros are there? How many possible negative real zeros? How many possible complex zeros?
d. Graph the polynomial to approximate the zeros. What are the rational zeros? Use synthetic division to verify these are correct.
e. Write the polynomial in factor form.
f. What are the complex zeros?
Step-by-step explanation:
a1. The shape will be a vertical or horizontal line.
a2. The shape will be shaped like a diagonal line increasing as we go right.
a3. The shape will be shaped like a diagonal line decreasing as we go right.
a4. The shape will be shaped like a U facing upwards.
a5.The shape will be shaped like a U facing downwards.
a6. The shape will look like a S shape and it increases as we go right.
a7. The shape will look like a S shape and it decreases as We go right.
a8. The shape look like a W shape and it facing upwards.
a9. The shape look a W shape facing downwards.
We are given function.
[tex]x {}^{5} - 3x {}^{4} - 5x {}^{3} + 5x {}^{2} - 6x + 8[/tex]
b. We can test by the Rational Roots Test,
This means a the possible roots are
plus or minus(1,2,4,8).
c. If we apply Descrates Rule of Signs,
There are 3 possible positive roots or 1 possible positive root.There are also 1 possible negative root.There is also 1 possible complex root.d. Use Desmos to Graph the Function. Some roots are (-2,1,4).
e.
[tex](x {}^{2} + 1) (x - 1)(x - 4)(x + 2)[/tex]
f. The complex zeroes are
i and -i
Polynomial [tex]f(x) = x^{5} -3x^{4} - 5x^{3} + 5x^{2} - 6x + 8[/tex] in factor form: (x-1)(x+2)(x-4)(x-i)(x+i)
What is a polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Shape of the graph for the following polynomial:
Constant function - straight line parallel to x axis.Positive linear function - straight line slanting upwards from left to right.Negative linear function - straight line slanting downwards from left to right.Positive quadratic function - U shaped curve opening upwardsNegative quadratic function - U shaped curve opening downwardsPositive cubic function - right hand curved upwards, left hand curved downwards.Negative cubic function - Left hand curved upwards, right hand curved downwards. Positive quartic function - W shaped facing upwardsNegative quartic function - W shaped facing downwardsFinding zeros of the polynomial given:
[tex]f(x) = x^{5} -3x^{4} - 5x^{3} + 5x^{2} - 6x + 8[/tex]
By factor theorem, if f(t) = 0, t is a zero of the polynomial.
Taking t = 1.
f(1) = 1 - 3 - 5 + 5 - 6 + 8 = 0
(x - 1) is a factor of the polynomial f(x).
Divide f(x) by (x-1) using long division to find the other factors.
f(x)/(x-1) = [tex]x^{4} -2x^{3}-7x^{2} -2x-8[/tex] is also a factor of f(x).
Factorizing it further:
g(x) = [tex]x^{4} -2x^{3}-7x^{2} -2x-8[/tex]
g(-2) = 16 + 16 - 28 + 4 - 8 = 0
(x + 2) is a factor of g(x) and thus f(x).
g(x)/(x+2) = [tex]x^{3} - 4x^{2} +x - 4[/tex] is a factor of f(x).
Factorizing it further:
k(x) = [tex]x^{3} - 4x^{2} +x - 4[/tex]
k(4) = 64 - 64 + 4 - 4 = 0
(x - 4) is a factor of k(x) thus of f(x).
k(x)/(x-4) = [tex]x^{2} +1[/tex]
Factorizing it further:
l(x) = [tex]x^{2} +1[/tex] = (x + i)(x - i)
Zeros of f(x) = 1, -2, 4, ±i
Rational zeros : 1, -2, 4
Positive real zeros: 1, 4
Negative real zeros: -2
Complex zeros: ±i
Polynomial in factor form: (x-1)(x+2)(x-4)(x-i)(x+i).
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ2
9. What is m JKM? A 28° C 90° B 58.5° D 117°
Step-by-step explanation:
her it Go i think it is helpful for u
Write 55% as a fraction in simplest form
Answer:
11/20
Step-by-step explanation:
11. Find the 5th term of the sequence defined by the given rule. (1/2 point)
f(n) = 6n + 4
Answer:
34
Step-by-step explanation:
n = 5
f(5) = 6(5)+4
f(5)=34
The fifth term of the sequence is equal to 34.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is f(n) = 6n + 4. The value of the fifth term will be calculated as,
n = 5
f(5) = 6(5)+4
f(5)=34
Therefore, the fifth term of the sequence is equal to 34.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ2
Help? Thanks!!!!!!!! If possible show work please!
Answer:
[tex]B =102[/tex]
[tex]Y = 32[/tex]
Step-by-step explanation:
Solving (47):
To solve for B, we have:
[tex]B + 50 + 28 = 180[/tex] --- sum of angles in a triangle
This gives
[tex]B + 78 = 180[/tex]
Collect like terms
[tex]B =- 78 + 180[/tex]
[tex]B =102[/tex]
Solving (48):
To solve for Y, we have:
[tex]X + Y+ Z = 180[/tex] --- sum of angles in a triangle
This gives
[tex]Y = 180 - X - Z[/tex]
Where
[tex]W+ X=180[/tex] -- angle on a straight line
Solve for X
[tex]X=180 -W[/tex]
[tex]X=180 -100 = 80[/tex]
So, we have:
[tex]Y = 180 - X - Z[/tex]
[tex]Y = 180 - 80 - 68[/tex]
[tex]Y = 32[/tex]
Write a number in which the value of the 3 is ten times as great as the value of 3 in 135,864
Answer:
Step-by-step explanation:
the 3 in 135,864 is 30,000
if you mutiply that by 10 you get 300,000
you just need to write any number with a 3 in the hundred thousands place
A bacteria culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
(a) Find the initial population. P(0) = 80 )ãbacteria
(b) Find an expression for the population after t hours. r(t) = 180( 125(6 Plt) =180(125(2))-
(c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.) P(7)=72.358- bacteria
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) P(7) 2x bacteria/hour
(e) When will the population reach 200,000? (Round your answer to one decimal place.) hours
Answer:
a) P(0) = 80
b) [tex]P(t) = 80(2.2361)^t[/tex]
c) 22,363 cells.
d) The rate of growth after 7 hours is of 18,000 bacteria per hour.
e) 9.7 hours.
Step-by-step explanation:
A bacteria culture grows with a constant relative growth rate.
This means that the population is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
This means that in 6 hours, the population went from 400 bacteria to 50,000 bacteria. We use this to find r. So
[tex]50000 = 400(1+r)^6[/tex]
[tex](1+r)^6 = \frac{50000}{400}[/tex]
[tex](1+r)^6 = 125[/tex]
[tex]\sqrt[6]{(1+r)^6} = \sqrt[6]{125}[/tex]
[tex]1 + r = 125^{\frac{1}{6}}[/tex]
[tex]1 + r = 2.2361[/tex]
So
[tex]P(t) = P(0)(2.2361)^t[/tex]
(a) Find the initial population. P(0)
We have that P(2) = 400. We use this to find P(0). So
[tex]P(t) = P(0)(2.2361)^t[/tex]
[tex]400 = P(0)(2.2361)^2[/tex]
[tex]P(0) = \frac{400}{(2.2361)^2}[/tex]
[tex]P(0) = 80[/tex]
So
[tex]P(t) = 80(2.2361)^t[/tex]
(b) Find an expression for the population after t hours.
[tex]P(t) = 80(2.2361)^t[/tex]
(c) Find the number of cells after 7 hours.
This is P(7). So
[tex]P(7) = 80(2.2361)^7 = 22363[/tex]
22,363 cells.
(d) Find the rate of growth after 7 hours.
We have to find the derivative when t = 7. So
[tex]P(t) = 80(2.2361)^t[/tex]
[tex]P^{\prime}(t) = 80\ln{2.2361}(2.2361)^t[/tex]
[tex]P^{\prime}(7) = 80\ln{2.2361}(2.2361)^7 = 18000[/tex]
The rate of growth after 7 hours is of 18,000 bacteria per hour.
(e) When will the population reach 200,000?
This is t for which [tex]P(t) = 200000[/tex]. So
[tex]P(t) = 80(2.2361)^t[/tex]
[tex]200000 = 80(2.2361)^t[/tex]
[tex](2.2361)^t = \frac{200000}{80}[/tex]
[tex](2.2361)^t = 2500[/tex]
[tex]\log{(2.2361)^t} = \log{2500}[/tex]
[tex]t\log{2.2361} = \log{2500}[/tex]
[tex]t = \frac{\log{2500}}{\log{2.2361}}[/tex]
[tex]t = 9.7[/tex]
So 9.7 hours.
In a group of 50 students, 12 play basketball and volleyball
, 9 play volleyball
and soccer, 8 play basketball and play soccer, and 4 play all 3 sports.
Altogether, 21 play basketball, 22 play volleyball, and 19 play soccer. How
many of the 50 students don't play any of the 3 sports?
Answer:
17 don't play any
Step-by-step explanation:
12+9+8+4=33
33-50=17
Convert 2933 in base 10 to base 2
Answer:
1011011101012
Step-by-step explanation:
Converting 2933 to base 10.
2*103=2000
9*102=900
3*101=30
3*100=3
Adding all to get Ans=293310
Step2 converting 293310 to 2
The equation calculation formula for 293310 number to 2 is like this below.
2|2933
2|1466|1
2|733|0
2|366|1
2|183|0
2|91|1
2|45|1
2|22|1
2|11|0
2|5|1
2|2|1
2|1|0
2|1|1
Ans:1011011101012
Plz and try to find U
Answer:
u = 6
Step-by-step explanation:
We can use a ratio to solve
3 5
----- = ---------
u 10
Using cross products
3*10 = 5u
30 = 5u
Divide by 5
30/5 = 5u/5
6 = u
Answer: u=6m
Step-by-step explanation:
The 2 triangles, LKO and NMO are similar by AAA congruence. Therefore, we can use ratios to find u.
[tex]\frac{5}{10}=\frac{3}{u}[/tex]
Notice how the 5 and 10 are each inbetween the double and single angle congruence indicators in the image. u and 3 are also both in between the right angle and double line indicator.
When you cross multiply, you get 5u=30, and after simplifying you get u=6 m
Another way you could have done this is by finding the scale factor.
The scale factor between corresponding sides in the 2 triangles is 2. (5 x 2 = 10).
When you multiply 3 by 2, you also get 6 m.
PLS HELP
Which of the following is the correct notation for the complex number 76+√-49
A) 76 − 7i
B) 7i + 76
C) 76 + 7i
D) 76+i√49
Answer:
C. 76 + 7i
Step-by-step explanation:
49 squared is 7 and since it's negative, it is an imaginary number. Therefore, it is 7i. Which leaves C to be the correct option.
A box of tickets has an average of 420; the SD is 84. If we draw at random (with replacement) 50 times and compute the average of the draws, the expected value of the average of the draws equals 420 and the standard error of the average of the draws equals ____. (Enter correct to two decimal places.)
Answer:
Average of the draws equals 420
Standard Error = 11.88
Step-by-step explanation:
Given
[tex]\mu = 420[/tex]
[tex]\sigma = 84[/tex]
[tex]n =50[/tex]
Solving (a): The average of the draws
This implies that we calculate the sample mean
This is calculated as:
[tex]\bar x = \mu[/tex] --- Sample Mean = Population Mean
So, we have:
[tex]\bar x = 420[/tex]
Solving (b): The standard error
This is calculated as:
[tex]SE=\frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]SE=\frac{84}{\sqrt {50}}[/tex]
Using the calculator, we have:
[tex]SE=11.88[/tex]
IF YOU DONT ANSWER THIS AND GET IT RIGHT YOUR MOM IS PREGO WITH YOUR KID a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils is the store sells a total of 1950 pencils and pens and markers in a week how many of each were sold
Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
5.04 X 10
200.8
504
H 5,044
J 50,400
K
none of these
Step-by-step explanation:
The answer to 5.04 × 10 eqauls 50.4 , but there are no answers choices that have exactly 50.4 , so the answer is none of these . I hope this helps you :)
if x-y =2 and xy=15, find the value of x cube - y cube.
Answer:
5³ = 125 : -3³ = -27Step-by-step explanation:
let x= 5 and y= 3x - y = 25 - 3 = 2xy = 155 × 3 = 15x³ = ? : -y³ = ?5³ = 125 : -3³ = -27[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Find the value of z.
54°
X
2049
(32+1)°
A. 25.25
OB. 129
Answer:
Step-by-step explanation:
(z)° + (3z + 1)° = 360° - ( 54° + 204° )
z + 3z + 1 = 360 - 258
4z = 101
z = 25.25
define ascending and descending order by your and give one example
Answer:
ascending order} an order of numbers from least to greatest like 1 2 3 4
descending order} an order of numbers from greatest to least like 4 3 2 1
Consider the equation below.
-2(53 + 8) = 14 + 60
The equation was solved using the following steps.
-10.3 – 16 = 14 + 6.r
Step 1:
Step 2:
Step 3:
-165 - 16 = 14
-16.r = 30
Step 4:
30
=
-16
Step 5:
=
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
6x
Step 1:
Step 2:
Step 3:
Step 4:
16.
-16.
Answer:
See explanation
Step-by-step explanation:
Given
[tex]-2(5x+8)=14+6x[/tex]
Required
Complete the steps
[tex]-2(5x+8)=14+6x[/tex]
Multiply 5x and 8 by -2
[tex]-10x - 16 = 14 + 6x[/tex]
Subtract by 6x
[tex]-10x - 6x- 16 = 14 + 6x - 6x[/tex]
[tex]-16x- 16 = 14[/tex]
Add 16
[tex]-16x- 16 + 16= 14 + 16[/tex]
[tex]-16x= 30[/tex]
Divide by -16
[tex]x= \frac{30}{-16}[/tex]
[tex]x= -\frac{15}{8}[/tex]
See attachment
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it.
[infinity]
â« e^-1.3x dx
1
a basketball player makes each free-throw with a probability of 0.3 and is on the line for a one-and-one free throw. (that is, a second throw is allowed only if the first is successful.) what is the probability that the player will score 0 points
Answer:
0.7 = 70% probability that the player will score 0 points.
Step-by-step explanation:
For each free throw, we have these following probabilities:
0.3 probability the player makes.
0.7 probability the player misses.
What is the probability that the player will score 0 points?
He is only allowed the second if he misses the first, thus, he ends with 0 points only if he misses the first.
For any free throw:
0.7 probability the player misses, so 0.7 = 70% probability that the player misses the first free throw, and 0.7 = 70% probability that the player will score 0 points.
please help.
find the missing side or angle and each problem .
Find the length of the missing side. If necessary, round to the nearest tenth. 40 and 35
Answer: 53.2
Step-by-step explanation:
Using pythagorean theorem, a^2 + b^2 = c^2
40^2 + 35^2 = sqrt of 2825
which is 53.15
rounded up to nearest tenth is 53.2
Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
A. H0: p = 0.67; H1: p < 0.67
B. H0: p = 0.67; H1: p ≠ 0.67
C. H0: p < 0.67; H1: p = 0.67
D. H0: p = 0.67; H1: p > 0.67
(b) What sampling distribution will you use?
A. The standard normal, since np > 5 and nq > 5.
B. The standard normal, since np < 5 and nq < 5.
C. The Student's t, since np > 5 and nq > 5.
D. The Student's t, since np < 5 and nq < 5.
What is the value of the sample test statistic?
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
A. At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B. At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
C. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
A. There is sufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Answer:
A. H0: p = 0.67; H1: p < 0.67
A. The standard normal, since np > 5 and nq > 5.;
Test statistic = - 0.397 ;
Pvalue = 0.3457;
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Step-by-step explanation:
p = 0.67 ; q = 1 - p = 1 - 0.67
Sample size, n = 36
x = 23
Test for normality :
(36*0.67) = 24.12
(36 * (1-0.67)) = 11.88
For a normal distribution :
np ≥ 5 and n(1 - p) ≥ 5
The hypothesis :
H0 : p = 0.67
H1 : p < 0.67
The Test statistic :
Z = (phat - p) / √[(p(1 -p))/n]
Phat = x / n = 23 / 36
Z = ((24/36) - 0.67)) / √[(0.67(1 -0.67))/36]
Z = - 0.031 / 0.0783687
Z = - 0.396983
Z = - 0.397
Usong the Pvalue from Z calculator ;
Pvalue of Z = 0.3457
If Pvalue < α ; Reject H0 ; If otherwise, Fail to reject H0
Mark bought seeds, 5 packets of carrot seeds, 2 packets of
bean seeds, and 3 packets of pea seeds. If he randomly
selects 4 packets to plant, what is the probability that he
selects 2 packets of carrots, 1 packet of beans, and 1 packet
of peas?
Answer:
4/10=2/5 therefore the answer to 2/5
please help me with geometry
Answer:
x = 5Step-by-step explanation:
triangol BCD = triangle BDA
so
3x - 1 = 34 - 2x
5x = 35
x = 35 : 5
x = 5Answer:
x = 7
Step-by-step explanation:
BD is an angle bisector , so
∠ ABD = ∠ DBC , that is
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1100 bacteria selected from this population reached the size of 1177 bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answer:
Rate = 10^(log[Ending Amount / Beginning Amount] ÷ time) -1
Rate = 10^(log(1177 / 1100) ÷ time) -1
Rate = 10^(log( 1.07) ÷ 3) -1
Rate = 10^(0.029383777685 /3) -1
Rate = 10^(0.0097945926) -1
Rate = 1.0228091219 -1
Rate = .0228091219% / hour
Source http://www.1728.org/expgrwth.htm
Step-by-step explanation:
In the picture below, which lines are lines of symmetry for the figure?
A. only 2
B. 1, 2, and 3
C. 2 and 4
D. 1 and 3
Answer:
Option C
Step-by-step explanation:
2 and 4 makes the figure look symmetrical
The required lines of symmetry are 2 and 4. option C is correct.
A given picture line of symmetry is to be determined from 1, 2, 3, and 4.
the line is a curve showing the shortest distance between 2 points.
A line of symmetry is defined as the line that draw across any curve or shape, The curve and shape have equal proportion across the line, that line is called the line of symmetry.
Clearly, from observation, it is seen that line 1 and line 3 does not have the same proportion of area across it, so this is not a line of symmetry.
Line 2 and line 4, is lines of symmetry because it has equal proportion of the area across it.
Thus, the required lines of symmetry are 2 and 4. option C is correct.
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
Refer to this design web of a car manufacturer’s experiment. Which of the following statements are true? Check all that apply.
A confounding variable is the use of cruise control.
A confounding variable is the weather conditions.
A confounding variable is the participants’ reporting on their fuel efficiency.
There are no confounding variables in this experiment.
A confounding variable is the speed at which the participants drive on the course.
Answer:
2.3,5
Step-by-step explanation:
Both the 2nd and 3rd statement is true. Because of both statement is closely analyzed up during design process of automobile.
How do car manufacturers design cars?The process of creating the outside (and, to some degree, interior) of motor vehicles, such as cars, motorbikes, trucks, buses, coaches, and vans, is known as automotive design.Although a big team from many various disciplines, including automotive engineering, normally works on the functional design and development of a contemporary motor vehicle, design jobs are not always linked to educational requirements for professional- or chartered-engineer status. In this context, automotive design primarily focuses on improving the visual appeal or aesthetics of vehicles while also getting involved in the development of product concepts. Designers with degrees in industrial design or transportation design who have an artistic background often work in the field of automotive design professionally.Learn more about Automobile design refer :
https://brainly.com/question/16959743
#SPJ2
What is the image of (-4, -12) after a dilation by a scale factor of centered at the 1/4 origin?
9514 1404 393
Answer:
(-1, -3)
Step-by-step explanation:
Each coordinate is multiplied by the dilation factor when dilation is centered at the origin.
(1/4)(-4, -12) = (-1, -3) . . . . the image of the given point
A data set is made up of the values 2, 3, 7, 8, 9, and 13.
The table shows the distance between each value and the mean of 7.
Data value Distance between
value and mean
2 5
3 4
7 0
8 1
9 2
13 6
Sum of distances 18
What is the mean absolute deviation (MAD) of the data set?
help please
Answer:
3
Step-by-step explanation:
Given the data :
2, 3, 7, 8, 9, 13
2 5
3 4
7 0
8 1
9 2
13 6
The mean, = Σx / n ; n = sample size
Mean = 42 / 6 = 7
The mean absolute deviation = Σ|x - mean| / n
The mean absolute deviation is Hence,
(5 + 4 + 0 + 1 + 2 + 6) / 6
Mean absolute deviation = 18 / 6
Mean absolute deviation = 3
