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ExtremeBDS [4]
2 years ago
15

A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this c

ase?
A. 0.745
B. -0.745
C. -1.255
D. 1.255​
Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

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A new car is purchased for 22300 dollars. The value of the car depreciates at 10.25% per year. What will the value of the car be
Roman55 [17]

Answer:

$11654 approx

Step-by-step explanation:

Given data

Principal amount =  22300 dollars

Rate= 10.25%

time= 6 years

The expression for the decrease is given as

A=P(1-r)^t-----------Note the negative sign is because of the decrease

substitute

A= 22300(1-0.1025)^6

A=22300(0.8975)^6

A=22300*0.5226

A=$11653.98

Hence the new value is $11654 approx

6 0
3 years ago
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
Write a let statement, an equation, solve: Jeremy is 14 years old. This is 4 1/2 years more than half his sisters age. How old i
Art [367]
J = 14
J = 1/2S + 4 1/2

14 = 1/2S + 9/2....multiply everything by 2 to get rid of fractions
28 = S + 9
28 - 9 = S
19 = S

check...
14 = 1/2S + 9/2......S = 19
14 = 1/2(19) + 9/2
14 = 9 1/2 + 9/2
14 = 19/2+ 9/2
14 = 28/2
14 = 14 (correct)

so the sister is 19 <===
6 0
2 years ago
Mr. Benson’s gross pay is $789.18. The amount of social security deducted is 6.2% of gross pay. How much of his gross pay will b
NeX [460]

Answer: $48.93

Step-by-step explanation: 789.18 x 0.062

8 0
2 years ago
a car rental agency charge 20 per day plus 30 cents per mile. if you had one of the car for 5 days and your total bill is $197.5
Flura [38]

Answer:

325 miles

Step-by-step explanation:

$20 for each day

5 days

$0.30 for each mile

20(5) + 0.3x = 197.5

100 + 0.3x = 197.5

100 - 100 + 0.3x = 197.5 - 100

0.3x = 97.5

\frac{0.3x}{0.3} = \frac{97.5}{0.3}

x = 325

6 0
3 years ago
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