The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartil

Response:

(a) The linear depreciation function relating to the car's value y after a few years t is given by:

y = 25,425 - 2,739 × t

(b) The projected worth of the car in 7 years amounts to $6,252.

(c) The depreciation is at a rate of $2,739 yearly.

Step-by-step explanation:

The manufacturer's suggested retail price (MSRP) for the vehicle is $25,425.

Its expected valuation in 5 years is $11,730.

(a) The linear depreciation formula is as follows:

Where;

Asset Cost = $25,425

Salvage Value = $11,730

Asset Lifespan = 5 years

From this, we obtain;

Thus, the linear depreciation function can be expressed as:

y - 25,425 = -2,739×(t - 0)

y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t

y = 25,425 - 2,739 × t

Where;

y = The estimated worth of the car after a specified duration

t = The years calculated for depreciation

(b) The value of the vehicle in 7 years can be calculated as below;

For t = 7, we find;

y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252

The expected car value after 7 years is $6,252.

(c)

The car depreciates at a yearly rate of $2,739.

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line

m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4

Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

Thus, the equation of the perpendicular line is: 3x+4y-1=0

Each LED bulb, along with installation labor, is priced at
.. $6.95 +$3 = $9.95

For 100 bulbs over a span of 10 years, that equals (100*10) = 1000 bulb·years. At $9.95 per bulb, 5 bulb·years are obtained, and thus the projected total cost for 1000 bulb·years is
.. (1000 b·y)*($9.95/(5 b·y)) = $1990

In summary, for a decade, the installation and changes of 200 bulbs in 100 lamps amount to $1990. Therefore, the yearly cost is...
.. $1990/(10 yr) = $199/yr