answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
2 years ago
11

The table represents the interest rates, r, at various years and the corresponding median house value, v. What does the slope of

the trend line equation v = 2.4r + 154 represent?
Mathematics
2 answers:
ladessa [460]2 years ago
8 0

Answer:

For an increase of 1% in interest rate, the median house value will increase by approximately 2.4 thousand dollars.

Step-by-step explanation:

Slope is rate of change.  

In this situation, r, the interest rate, is the independent variable and v, the median house value, is the dependent variable.  The slope is multiplied by r; this means for every increase of 1 in the independent variable, the dependent variable will increase by the amount of the slope.

For this situation, this means that for every increase of 1 in interest rate, the median house value will increase by 2.4.

Anvisha [2.4K]2 years ago
5 0
The answer is c. v=2.4r+154. v is the dependent variable, and r is the independent variable. From the equation above, if we increase r by 1 unit, v will increase by 2.4 (154 doesn't affect because it's always a constant). The unit of r is %, while the unit of v is thousand, therefore if we increase interest rate by 1%,  the median house value increases by 2.4 thousand.
You might be interested in
What is the product of (8.8 × 106)(5 × 102)?
Serhud [2]

(8.8 × 106)(5 × 102)

= (932.8)(510)

= 475,728

7 0
2 years ago
The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,
dmitriy555 [2]

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025

#Calculate the probability of a camera having a charging defect:

P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125

The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025

Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0
2 years ago
Sin(11∘)cos(19∘)+cos(11∘)sin(19∘)
sergij07 [2.7K]
Recall that:

sin(A + B) = sinAcosB + cosAsinB

Therefore:

sin11°cos19° + cos11°sin19° = sin(11° + 19°)

                                                   = sin30° = 0.5            

I hope this explains it.
3 0
2 years ago
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.
QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20  - 15 )inches

Now:

P(X ≤ 5) = \dfrac{5}{20}

= 0.25

P(X ≥ 15) = \dfrac{5}{20}

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

 = 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0
2 years ago
vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangula
irina1246 [14]

Answer:

<em>5,598 cans are required to empty the vessel</em>

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

V = \pi r^2h

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

V_1 = \pi 1.4^2*1.5

V_1=9.236\ m^3

Converting to cubic cm:

V_1=9.236*1,000,000\ cm^3

V_1=9,236,282\ cm^3

The volume of each rectangular tin can is:

V_2=33*10*5=1,650\ cm^3

V_2=1,650\ cm^3

The number of cans required to empty the vessel is:

V_1/V_2=9,236,282/1,650 = 5,598

5,598 cans are required to empty the vessel

5 0
2 years ago
Other questions:
  • The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50
    9·2 answers
  • A company borrowed $40,000 cash from the bank and signed a 6-year note at 7% annual interest. The present value of an annuity fa
    8·1 answer
  • Bart lives 6 blocks from his grandparents. Melinda lives 8 blocks farther from her grandparents as Bart does . How many blocks d
    12·2 answers
  • The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
    5·2 answers
  • (a) What is a sequence? A sequence is an unordered list of numbers. A sequence is the sum of an ordered list of numbers. A seque
    9·1 answer
  • Which scenario can be represented using the inequalities below?
    15·2 answers
  • A habitat of prairie dogs can support mmm dogs at most.
    9·1 answer
  • Joe and Nate went for a walk. The system representing each boy’s progress is graphed below. A graph titled Joe and Nate's progre
    15·1 answer
  • 3x2+3y2+2x-8=0<br><br> Find the center and radius
    10·1 answer
  • The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire h
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!