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Phoenix [80]
3 years ago
12

Fatima has a car detailing service. She charges $15.00 for a vacuum, $40.00 for exterior wash and wax, and $60.00 for complete i

nterior clean including shampooing all upholstery. last week she had a busy week. She had 7 vacuum jobs, 23 exterior wash and wax jobs, and 15 complete interior cleans jobs. Which job category did she make the most money?
A. complete interior cleaning
B. not enough information
C. vaccum
D. exterior wash and wax​
Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Answer:

d 40 times 23=920

Step-by-step explanation:

if you did 60 times 15= 900

the highest is  920

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Glen hiked 14 miles in 4 hours. What was his average rate of speed?
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8 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
State the degree x^3y^2+7x^2y^5-3xy^8
KATRIN_1 [288]
The main formula for a polynomial ax^my^n+...
the degree is the sum of the highest degree of the polynomial, it is m+n

<span>the degree of  x^3y^2+7x^2y^5-3xy^8 is 9, because </span><span>3xy^8 is the term where we can find a highest value of power (8)
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</span>
4 0
3 years ago
Read 2 more answers
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
mel-nik [20]

Step-by-step explanation:

She made a sign error when multiplying and should have had 256 as a final answer.

3 0
2 years ago
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)

Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0
3 years ago
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