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iogann1982 [59]
3 years ago
6

If Naomi were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 8 hours. How many hou

rs would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
denpristay [2]3 years ago
5 0

Answer: it would take them 40/13 hours

Step-by-step explanation:

If Naomi were to paint her living room alone, it would take 5 hours. it means that the rate at which she paint her living room alone is 1/5

Her sister Jackie could do the job in 8 hours. it means that the rate at which Jackie paint the living room is 1/8

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/5 + 1/8 = (8 + 5)/40 = 13/40

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

13/40 = 1/t

t = 40/13 hours

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For the binomial distribution with n=4 and p=0.25
Effectus [21]

Answer:

a.) .0469

b.) .9961

c.) .9492

Rounded these check below for full answers

Step-by-step explanation:

a.)

{4\choose3}*.25^3*(1-.25)=.046875

b.)

Porbability of at most 3 successes is equal to 1-p(4)

p(4)=

{4\choose4}*.25^4=.003690625

1-.003690625=.99609375

c.)

two or more failures is equa lto

p(0)+p(1)+p(2)=

{4\choose0}*.25^0*(1-.25)^4+{4\choose1}*.25^1(1-.25)^3+{4\choose2}*.25^2*(1-.25)^2=.94921875

4 0
3 years ago
Over the weekend, Ella at ¼ box of cereal, and Finnley at ⅜ of the same box. What portion of the box of cereal did they eat in a
wariber [46]

Answer:

Step-by-step explanation:

This equation is simple all you have to do is add 1/4+3/8  and that would be 5/8.

8 0
3 years ago
A very old vending machine accepts only nickels (n) and dimes (d). Candy costs up to $0.50, but sometimes the machine will dispe
matrenka [14]
Let n be the number of nickels.
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Have an awesome day! :)
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3 years ago
5 + 5(x + 4) &lt; 20<br><br>Solve the inequality <br><br>Help plz​
aleksley [76]

Answer:

You would solve this as if the inequality sign was an equal sign.

Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:

5 + 5(x +4) < 20

Distribute the 5 and simplify

5 + 5x + 20 < 20

25 + 5x < 20

Isolate x    (subtract 25 from both sides)

5x < -5

Divide by 5

x < -1

4 0
3 years ago
Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

1. f(x)=-2x+1

If we compare this equation with the slope intercept form of a line which is given as

y=mx+c

we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

y=-2(1)+1

y=-2+1 = -1

Let us find another point by putting x = 2 and solving it for y

y=-2(2)+1

y=-4+1 = -3

Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

y=-2(-2)+1

y=+1 = 5

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

g(x)=y=x^2-2x-3

y=x^2-2x+1-1-3

y=(x-1)^2-4

(y+4)=(x-1)^2

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; y=y=(0)^2-2(0)-3=0-0-3=-3 ; (0,-3)

ii)x=-1 ; y=(-1)^2-2(-1)-3=1+2-3=0 ; (-1,0)

iii) x=2 ; y=(2)^2-2(2)-3 = 4-4-3 =-3 ;(2,-3)

iii) x=1 ; y=(1)^2-2(1)-3 = 1-2-3 =-4  ;(1,-4)

iii) x=-2 ; y=(-2)^2-2(-2)-3 = 4+4-3 =5  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

3 0
4 years ago
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