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3 years ago

6

Benny takes 11 hours to paint a room. it takes melanie 12 hours to complete the same job. how long would it take if they worked

together

1 answer:

Paul [167]3 years ago

3 0

It is aboute three houres

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PLEASE ANSWER ASAP

STatiana [176]

Answer:

2/9 is the correct option.

Step-by-step explanation:

As the spinner is numbered 2, 4 and 5

The general formula for probability :

P(A) = n(A) / n(S)

n(S) is the number of whole states occur in two spins which is 3 × 3 = 9

n(A) is the event that Rico will get a product of 20.

n(A) = 2 ∵ 4 × 5 and 5 × 4 will bring the product 20.

Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:

P(A) = n(A) / n(S)

= 2/9

Therefore, 2/9 is the correct option.

5 0

2 years ago

-4.8[6.3x-4.8]=-58.56

DENIUS [597]

Answer:

=2.6984126984

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the value of x in the equation x- 3/4 =5 1/6

Wewaii [24]

Answer:

5 11/12

Step-by-step explanation:

First convert the mixed number into an improper fraction: 31/6

Find a common denominator:

18/24 and 124/24

124/24+ 18/24 is 142/24 and that is the same as 5 11/12

Hopefully this helps and you can have a lovely day!

3 0

3 years ago

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li

motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

$P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\$

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

$P(a|b)=\frac{P(a \ and\ b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594$

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0

2 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

<u>Given quadratic functions</u>:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

<u>Factor</u> the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the <u>zero-product property</u> to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

Read 2 more answers