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g100num [7]
3 years ago
5

The dance club needs balloons for the dance. if a website sells bags of balloons for 3$ and charges 8$ for shipping? how many ba

gs can they buy if they cannot spend more than 26$
Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
First, exclude the charge by deducting 8$ from 26$.
giving a remaining of $18
if one bag is for $3
then 6 bags can be bought for $18
including a charge of $8 for delivery
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An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insu
ankoles [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insure at least one car. (ii) 70% of the customers insure more than one car. (iii) 20% of the customers insure a sports car. (iv) Of those customers who insure more than one car, 15% insure a sports car. Calculate the probability that a randomly selected customer insures exactly one car, and that car is not a sports car?

Answer:

P( X' ∩ Y' ) = 0.205

Step-by-step explanation:

Let X is the event that the customer insures more than one car.

Let X' is the event that the customer insures exactly one car.

Let Y is the event that customer insures a sport car.

Let Y' is the event that customer insures not a sport car.

From the given information we have

70% of customers insure more than one car.

P(X) = 0.70

20% of customers insure a sports car.

P(Y) = 0.20

Of those customers who insure more than one car, 15% insure a sports car.

P(Y | X) = 0.15

We want to find out the probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

P( X' ∩ Y' ) = ?

Which can be found by

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

From the rules of probability we know that,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )    (Additive Law)

First, we have to find out P( X ∩ Y )

From the rules of probability we know that,

P( X ∩ Y ) = P(Y | X) × P(X)       (Multiplicative law)

P( X ∩ Y ) = 0.15 × 0.70

P( X ∩ Y ) = 0.105

So,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )

P( X ∪ Y ) = 0.70 + 0.20 - 0.105

P( X ∪ Y ) = 0.795

Finally,

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

P( X' ∩ Y' ) = 1 - 0.795

P( X' ∩ Y' ) = 0.205

Therefore, there is 0.205 probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

6 0
2 years ago
Isaac Green Elimination (Level 1) Mar 17, 8:18:58 AM Find the solution of the system of equations. 8x + y = -13 8r 2y = 10​
kicyunya [14]

Answer:

y = 23

x = -4.5

Step-by-step explanation:

Given:

Equation

8x + y = -13 ......eq1

8x + 2y = 10​........eq2

Find:

Solution

Computation:

Eq2 - Eq1

y = 23

From eq1

8x + y = -13

8x + 23 = -13

8x = -36

x = -4.5

5 0
2 years ago
A rectangle measures 2 4/ 5 inches by 1 1/ 5 inches. What is its area?
AlexFokin [52]

[ Answer ]

\boxed{3\frac{9}{25} }

[ Explanation ]

Area Of Rectangle: Length * Width

2 4/5 * 1 1/5

=======================

Convert Fractions Into Mixed Numbers:

2 4/5 = 14/5

1 1/5 = 6/5

Multiply Across:

14 * 6

5 * 5

= 84/ 25

Simplify:

3 9/25

\boxed{[ \ Eclipsed \ ]}

4 0
3 years ago
(9\times100)+(8\times10)+\left (7\times\dfrac{1}{1000} \right )(9×100)+(8×10)+(7×
Tanya [424]

Answer:

7,980

Step-by-step explanation:

900 + 80 + (7 x 1000)

3 0
3 years ago
Evaluate -(2^6)(2^3)
valina [46]

Answer:

- (2^9)

Step-by-step explanation:

-(2^6)(2^3)

We know a^b * a^c = a^( b+c)

- ( 2 ^ (6+3))

- (2^9)

7 0
3 years ago
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