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4 years ago

8. Four people enter their names into a

Mathematics

1 answer:

Lerok [7]4 years ago

6 0

Answer:

The probability that Ang wins and is given a mug is 0.125.

Step-by-step explanation:

Denote the events as follows:

R = Rob wins

S = Sonja wins

J = Jack wins

A = Ang wins

T = the winner gets a T-shirt

M = the winner gets a Mug

Since any of the four people could be winner the probability of each person winning is same, i.e.

P (R) = P (S) = P (J) = P (A) = 0.25

There only two prizes to select from.

So, the winning person gets any of the two prizes with probability 0.50.

Consider the tree diagram attached.

Compute the probability that Ang wins and is given a mug as follows:

$P(A\cap M) = P (M|A)\times P (A)\\= 0.50\times 0.25\\=0.125$

Thus, the probability that Ang wins and is given a mug is 0.125.

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Answer:

1/2

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(k - 1)(k - 4)

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4 years ago

Which graph represents the solution set of the system of inequalities? {y<−3x−2y<br> y≤x−2

irina1246 [14]

Answer:

Option 1

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In each inequality we have the equation of a line.

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We do y = 0

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Now we do x = 0

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This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

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y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

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Identify these characteristics in the options, and you will see that the correct option is the first

4 0

4 years ago

Read 2 more answers

Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her

Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50 change the % to a fraction

125/100 * x = 65.50 Multiply both sides by 100/125

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50 Multiply by 100

x = 6550 / 125 Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal = 52.40

Total 65.50 Just as it should

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3 years ago

Solve the inequality <br><br> 6(x-3)/8≥3

vivado [14]

Answer:

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Step-by-step explanation:

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3 years ago