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ioda
3 years ago
8

Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the

dinners and Sue packs the remaining dinners. Of the dinners John packs 4% do not include a salt packet. If Mary packs the dinner 2% of the time the salt is omitted. Lastly, 3% of the dinners do not include salt if Sue does the packing. If you find there is not salt in your purchased dinner what is the probability that Mary packed your dinner?
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:0.5625

Step-by-step explanation:

If John packed the dinner

probability of salt less dinner=\frac{45}{100} \times \frac{4}{100}=0.018

If Mary packed the dinner

probability  of salt-less dinner =\frac{25}{100} \times \frac{2}{100}=0.005

If sue packed the dinner

probability  of salt-less dinner =\frac{30}{100} \times \frac{3}{100}=0.009

Total proportion of salt-less dinner=0.032

probability that dinner is salt-less and mary packed it=\frac{0.018}{0.032}=0.5625

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Anna, Boris, and Clara thought of 1 number each Ana's number increased by 20 is 21 greater than boris's number decreased by 22.
sleet_krkn [62]

Answer:

Clara's number is 42 less than Anna's number

Step-by-step explanation:

We can start this problem out by setting our variables up:

A= Anna's number

B= Boris's number

C= Clara's number

so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:

- "Ana's number increased by 20"

A+20

- "boris's number decreased by 22"

B-22

- "21 greater than boris's number decreased by 22."

(B-22)+21

- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."

A+20=(B-22)+21

This is our first important equation here. Let's go with the second part of the problem:

- "Boris's number decreased by 20"

B-20

- "claras number increased by 22"

C+22

- "21 greater than claras number increased by 22"

(C+22)+21

Now the whole thing:

"Boris's number decreased by 20 is 21 greater than claras number increased by 22."

B-20=(C+22)+21

This is our second important equation.

So now we have the following system of equations:

A+20=(B-22)+21

B-20=(C+22)+21

We can now simplify the equations by combining like terms so we get:

Equation 1:

A+20=(B-22)+21

we can get rid of the parenthesis so we get:

A+20=B-22+21

We can subtract a 20 from both sides of the equation so we get:

A=B-22+21-20

We perform the subtractions so we get:

A=B-21

Equation 2:

B-20=(C+22)+21

We get rid of the parenthesis:

B-20=C+22+21

We add a 20 to both sides so we get:

B=C+22+21+20

We can now perform the additions so we get:

B=C+63

And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:

A=C+63-21

We combine like terms to get:

A=C+42

We can subtract 42 from both sides to get:

C=A-42

which reads:

Clara's number is 42 less than Anna's number.

3 0
3 years ago
Which equation is equivalent to 4s=t+2
Paraphin [41]

Answer:If we're solving for t my work is below:

t = 4 s - 2

If we're solving for s my work is below:

s = t + 2/4

Step-by-step explanation:

7 0
3 years ago
Select the correct answer.
adell [148]

Answer:

its c. x = -2.5 and x = -2

Step-by-step explanation:

multiply function (g)(x) = (-2x-5)(x-2)

= -2x^2+4x-5x+10

first get out -2x(x+2)-5(x+2)

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x=-5/2 or x=-2

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8 0
2 years ago
2, 11, 20, 29, 38, 47, 56,...
SIZIF [17.4K]

Answer:

B

Step-by-step explanation:

For example, subtract 56 by 47, you get 9. Each term is 9 more than the previous term.

3 0
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13. Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine v
suter [353]
Since the Power is directly proportional to the velocity, their ratio \frac{P}{v^{3} } is constant.

<span>Therefore </span>\frac{500}{ 10^{3} } = \frac{x}{ 12^{3} } which is a proportion:

500 : 1000 = x : 1728

that can be easily solved:

x = (500×1728)/1000 = 864kW

8 0
3 years ago
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