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2 years ago

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Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give

n his outstanding skill as a golfer, once he is hired there is an 80% chance that he will earn a spot on the celebrated Acme Corporation golf team. Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

1 answer:

Korolek [52]2 years ago

4 0

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

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As part of a company incentive, each sales person that sells over \$40{,}000$40,000dollar sign, 40, comma, 000 in merchandise th

worty [1.4K]

Answer:

$58,600

Step-by-step explanation:

Data provided in the question:

Commission on Sales upto and including $40,000 = 5%

Commission on Sales above $40,000 = 10%

Total commission = $3,860

Now,

For sales of $40,000

maximum commission = 5% of $40,000

= $2,000

Since the commission received is greater than $2,000

Therefore,

The value of s is greater than $40,000

Thus

Amount qualifying for 10% commission = s - $40,000

therefore,

Total commission = $2,000 + 10% of (s - $40,000)

or

$3,860 = $2,000 + 0.10 × (s - $40,000)

or

$1,860 = 0.10 × (s - $40,000)

or

s - $40,000 = $18,600

or

s = $18,600 + $40,000

or

s = $58,600

4 0

2 years ago

Read 2 more answers

Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

5 0

1 year ago

Read 2 more answers

Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are

DaniilM [7]

Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

$40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20$

Number of flowers in garden =

$60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30$

Thus, there are 20 vegetable plants in garden.

6 0

2 years ago

Fertiliser is sold in 100kg bags labelled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. The

anzhelika [568]

Answer:

We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

Step-by-step explanation:

Let's first list the percentage compositions of each fertilizer type:

<u>Vigoro Ultra Turf:</u>

Nitrogen (N) = 29 kg

Phosphoric Acid (P2O5) = 3 kg

Potash (K2O) = 4 kg

<u>Parkers Premium</u>

Nitrogen (N) = 18 kg

Phosphoric Acid (P2O5) = 25 kg

Potash (K2O) = 6 kg

We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:

x = Vigoro Ultra turf (one bag)

y = Parkers Premium (one bag)

29x + 18y = 217 -Equation 1

3x + 25y = 115 -Equation 2

4x + 6y = 44 -Equation 3

Solving for x and y, we get:

x = 5

y = 4

This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

6 0

2 years ago

Suppose the supply function for product x is given by qxs = - 30 + 2px - 4pz.

Igoryamba

It is given in the question that

Suppose the supply function for product x is given by

$qxs = - 30 + 2px - 4pz.$

And we have to find how much of product x is produced when px = $600 and pz = $60.

And for that, we have to substitute 600 for px and 60 for pz, and on doing so, we will get

$qxs = -30+2(600)-4(60)
\\
qxs = -30 +1200 -240 = 930$

And that's the required answer .

3 0

2 years ago