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Verizon [17]
3 years ago
11

This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T

he student likes olives. What is P(A or B)?​

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

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dsp73
Compounded depreciation formula:

A = P(1 - r)ⁿ , where P = original price, r= rate of depreciation, n = number of years and A = actual value (after depreciation):

A= $8000(1 - 11%)⁵ = 8000(0.89)⁵ = 4,467.24 ≈$4,467
4 0
3 years ago
Read 2 more answers
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
2 years ago
Anyone pls help on this
Tatiana [17]
(Exponential decay) hope it helps:)
4 0
3 years ago
Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor. How many toy cars are multicol
ludmilkaskok [199]

Answer:

I think there would be 345 multicolor cars

6 0
3 years ago
Find the mean for the following group of data items. 4.1, 8.9, 3.2, 1.9, 7.3, 6.3, 6.7, 8.6, 3.2, 2.3, 5.9 (Round to 3 decimal p
Alex787 [66]

Answer:

The mean is 5.309.

Step-by-step explanation:

Given group of data,

4.1, 8.9, 3.2, 1.9, 7.3, 6.3, 6.7, 8.6, 3.2, 2.3, 5.9,

Sum = 4.1+ 8.9 + 3.2 + 1.9 + 7.3 + 6.3 + 6.7 + 8.6 + 3.2 + 2.3 + 5.9 = 58.4,

Also, number of observations in the data = 11,

We know that,

Mean=\frac{\text{Sum of all observation}}{\text{Total observations}}

Hence, the mean of given data = \frac{58.4}{11}=5.30909\approx 5.309

4 0
3 years ago
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