Atelephone solicitor is responsible for canvassing three suburbs. in the past, 60% of the completed calls to belle meade have resulted in contributions, compared to 55% for oak hill and 35% for antioch. her list of telephone numbers includes one thousand households from belle meade, one thousand from oak hill, and two thousand from antioch. suppose that she picks a number at random from the list and places the call. what is the probability that she gets a donation? larsen, richard j.. an introduction to mathematical statistics and its applications (p. 44). pearson education. kindle edition.

There is a 46.25% probability that she receives a donation.

Step-by-step explanation:

We have to divide these probabilities in 2.

First the probability that each suburb donates.

There is a 60% probability that a person from Belle Meade donates

There is a 55% probability that a person from Oak Hill donates.

There is a 35% probability that a person from Antioch donates.

Now the probability that she calls each suburb.

The probablem states that her list of telephone numbers includes one thousand households from Belle Meade, one thousand from Oak Hill, and two thousand from Antioch. In all, she has 4000 total telephone numbers.

She has 1000 numbers from Belle Maede. So there is a 1000/4000 = 25% probability that she calls a person from Belle Maede.

She has 1000 numbers from Oak Hill. So there is a 1000/4000 = 25% probability that she calls a person from Oak Hill.

She has 2000 numbers from Antioch. So there is a 2000/4000 = 50% probability that she calls a person from Antioch.

What is the probability that she gets a donation?

is the probability the she randomsly choses a person from Belle Maede and receives a donation. So:

is the probability the she randomsly choses a person from Oak Hill and receives a donation. So:

is the probability the she randomsly choses a person from Antioch and receives a donation. So:

There is a 46.25% probability that she receives a donation.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true