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Leviafan [203]
3 years ago
15

At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying fo

od and buying a coffee drink independent events? How do you know?
Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

Yes.

70% of the customers buy a coffee drink and 30% buy food.

The sum of it is 100% already.

So 20% of it just another addition of information since it cannot exceed 100% of percentage (100% + 20% = 120%).

It also contains a subset for both percentage.

Bad White [126]3 years ago
8 0

Answer:

No

Step-by-step explanation:

If independent,

P(C^F) = P(C) × P(F)

0.2 = 0.3×0.7

0.2 = 0.21 is not a true statement

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This year the boys’ basketball team won 4 times as many games as it lost. The team played a total of 40 games. How many games di
Salsk061 [2.6K]

Answer:

The team won 32 games.

Step-by-step explanation:

x = games won

y = games lost

z = total games = 40

x = 4y <em>Won 4 times as many games as it lost</em>

x + y = 40 <em>Games won + games lost = Total games played</em>

4y + y = 40 <em>Sub 4y in for x, as established previously</em>

5y = 40

y = 8

x = 4y

x = 4(8)

x = 32

The team won 32 games.

8 0
3 years ago
A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the
Gelneren [198K]

Answer:

A) E(w)=450+0.10w

B) $1200

Step-by-step explanation:

Let w represent employee's weekly sales and E(w) be total weekly earnings.

We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.

10% of weekly sales, w, would be \frac{10}{100}*w=0.10w

E(w)=450+0.10w

Therefore, the function E(w)=450+0.10w models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute E(w)=570 in our formula and solve for w as:

570=450+0.10w

570-450=450-450+0.10w

120=0.10w

0.10w=120

\frac{0.10w}{0.10}=\frac{120}{0.10}

x=1200

Therefore, the amount of employee's weekly sales was $1200.

3 0
3 years ago
Me pueden ayudar a saber el resultado y la operacion de la ecuacion 8-5x=8+2x por favor me urge
My name is Ann [436]
<span>8-5x=8+2x is to be solved for x.

Group the x terms together:    </span><span>8=8+2x+5x  =>  0 = 7x   =>  x = 0</span>
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4 years ago
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Korvikt [17]
Let’s first cut/separate this figure into two shapes: rectangle and a triangle

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Is 54 prime or composite
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Composite, it can be divided
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