It went down 18 floors then up by 23 floors. What floor is the

You charge customers $18.75 for lube service, parts, and labor. Assuming you take one hour's labor at $15, and the parts cost $3

hram777 [196]

Let
T---------> the tax rate on the parts in $

we know that
$18.75=$15+$3.50+$T
T=18.75-15-3.5
T=$0.25
so
$3.50----------> 100%
$0.25--------> x
x=0.25*100/3.50------> x=7.14%------> x=7.1%

the answer is
7.1%

5 0

3 years ago

the number n is a 2-digit number. when n i divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. wh

larisa [96]

Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.

Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.

Now the number that is alike from the two sets of numbers is n.
n=89

Double check your work.
Divide 89 by 10. Remainder of 9
Divide 89 by 9. Remainder of 8.

Hope this helps :)

6 0

3 years ago

Geometry please help

alisha [4.7K]

Answer:

x = 4

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below

P.s: I used the Law of Sines, but there are many other ways to solve it

5 0

3 years ago

Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly \$100$100 to buy each vote

dolphi86 [110]

Answer:

Yes, Cam's costs proportional to the number of votes he receives.

Step-by-step explanation:

It is given that Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly $100 to buy each vote.

Let the number of votes he get be x.

Then the total cost of Cam is

$C=100\times x$ ... (1)

Where, C is Cam's costs and x is number of votes he receives.

Two variables are proportional to each other if

$y\propto x$

$y=kx$ ... (2)

Where k is constant of proportionality.

Since equation (1) and (2) and similar and the constant of proportionality is 100, therefore we say that Cam's costs proportional to the number of votes he receives.

7 0

3 years ago

According to the article "Characterizing the Severity and Risk of Drought in the Poudre River, Colorado" (J. of Water Res. Plann

mihalych1998 [28]

Answer:

(a) P (Y = 3) = 0.0844, P (Y ≤ 3) = 0.8780

(b) The probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

Step-by-step explanation:

The random variable Y is defined as the number of consecutive time intervals in which the water supply remains below a critical value y₀.

The random variable Y follows a Geometric distribution with parameter p = 0.409.

The probability mass function of a Geometric distribution is:

$P(Y=y)=(1-p)^{y}p;\ y=0,12...$

(a)

Compute the probability that a drought lasts exactly 3 intervals as follows:

$P(Y=3)=(1-0.409)^{3}\times 0.409=0.0844279\approx0.0844$

Thus, the probability that a drought lasts exactly 3 intervals is 0.0844.

Compute the probability that a drought lasts at most 3 intervals as follows:

P (Y ≤ 3) = P (Y = 0) + P (Y = 1) + P (Y = 2) + P (Y = 3)

$=(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409+(1-0.409)^{2}\times 0.409\\+(1-0.409)^{3}\times 0.409\\=0.409+0.2417+0.1429+0.0844\\=0.8780$

Thus, the probability that a drought lasts at most 3 intervals is 0.8780.

(b)

Compute the mean of the random variable Y as follows:

$\mu=\frac{1-p}{p}=\frac{1-0.409}{0.409}=1.445$

Compute the standard deviation of the random variable Y as follows:

$\sigma=\sqrt{\frac{1-p}{p^{2}}}=\sqrt{\frac{1-0.409}{(0.409)^{2}}}=1.88$

The probability that the length of a drought exceeds its mean value by at least one standard deviation is:

P (Y ≥ μ + σ) = P (Y ≥ 1.445 + 1.88)

= P (Y ≥ 3.325)

= P (Y ≥ 3)

= 1 - P (Y < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

$=1-[(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409\\+(1-0.409)^{2}\times 0.409]\\=1-[0.409+0.2417+0.1429]\\=0.2064$

Thus, the probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

6 0

3 years ago