VINILLE Which ordered pair is a solution of the equation? y + 5 = 2(x+1)

Mathematics

1 answer:

madam [21]3 years ago

6 0

Answer:

tje ordered pair for y+5=2(x+1)

is x=(1.5,0) and y=(0,-3)

Step-by-step explanation:

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Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which

tamaranim1 [39]

<h3><u>Answer</u>:- </h3>

$\longrightarrow \sf 75+ 30(h-1)$

<h3><u>Solution:-</u></h3>

<u>Given </u><u>that </u><u>:</u><u>-</u>

job last for h hours
Cost of job lasting more than 1 hour = $30
Cost for the first hour = $75

$\leadsto$ Remaining hours for which the job will last after first hour= (h-1)

<u>Therefore</u>,

Cost for subsequent hours = 30×(h-1)

= 30(h-1)

Total Cost for job = Cost for 1st hour + Cost for subsequent hours

$\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}$

7 0

2 years ago

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$