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olga55 [171]
2 years ago
10

Please help! This is due soon!!!

Mathematics
1 answer:
daser333 [38]2 years ago
3 0

Answer:

The slope of the line is

\frac{1}{3}

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If Kamila can do a job in 26 hours and Simon and Kamila working together can do the same job in 9 hours , find how long it takes
Kay [80]

Answer:

Simon takes approximately 13.76 hours to complete the job alone.

Step-by-step explanation:

We are given the following in the question:

Kamila can do a job in 26 hours  

So, part of work done by Kamila in 1 hour =

\dfrac{1}{26}

Simon and Kamila working together can do the same job in 9 hours .

So, (Simon and Kamila)'s 1 hour work =

\dfrac{1}{9}

So, Simon's 1 hour work =

\dfrac{1}{9}-\dfrac{1}{26}=\dfrac{17}{234}

So,

Simon can do \frac{17}{234} part of work in hour = 1

Time taken by Simon to complete the job alone =

\dfrac{1}{\frac{17}{234}}=\dfrac{234}{17}\approx 13.76 \text{ hours}

Thus, Simon takes approximately 13.76 hours to complete the job alone.

3 0
3 years ago
Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80
SashulF [63]
This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors


8 0
3 years ago
Calculate the average rate of the following intervals
AveGali [126]

Answer:

What's the intervals for this question

Step-by-step explanation:


3 0
2 years ago
Suppose that, after measuring the duration of many telephone calls, a telephone company found their data was well-approximated b
Musya8 [376]

Answer:

a) 7.79%

b) 67.03%

c) Cumulative Distribution Function

P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b

Step-by-step explanation:

We are given the following in the question:

p(x) = 0.1 e^{-0.1x}

where x is the duration of a call, in minutes.

a) P( calls last between 2 and 3 minutes)

=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%

b) P(calls last 4 minutes or more)

=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%

c) cumulative distribution function

P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b

6 0
3 years ago
What is the simplified form of (4x+2)/(x+5) + (3x+1)/(x+5)?
Roman55 [17]
It is pretty easy to solve this equation, given that the denominator is the same of either side (x + 5). You don't even need the brackets.
So:

4x+2/x+5 + 3x+1/x+5 = 4x+2+3x+1/x+5 = 7x + 3/x+5

The correct answer is 7x + 3 / x + 5.
It's the same as if you were adding for example 2/3 and 6/3 - since the denominator is the same, you should just add 2 and 6 and get 8/3. 
8 0
2 years ago
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