Tangler prism is 12 inches long 7 inches wide and 3 inches tall what is the volume

According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the probability that a radomly selected resident opposes the casino, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is given as 60%, which in decimal form is 0.60

ii) Next, determine,the probability that a resident who opposes the casino strongly opposes it, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that a radomly selected resident who opposes the casino does strongly oppose the casino, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago

Suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you m

svlad2 [7]

$h-number\ of\ the\ full\ hours\\\\7.25h\geq125\ \ \ \ \ |divide\ both\ sides\ by\ 7.25\\\\h\geq\frac{125}{7.25}\\\\h\geq\frac{12500}{725}\\\\h\geq\frac{500}{29}\\\\h\geq17\frac{7}{29}\\\\Answer:You\ must\ work\ at\ least\ 18\ hours.$

7 0

3 years ago

Read 2 more answers

The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangu

iragen [17]

Answer:

1/6

Step-by-step explanation:

4 0

3 years ago

Mr. Zillow wants to research the prices in a Subdivision near Disney World called World of Homes. The prices of 14 homes in this

ExtremeBDS [4]

Answer:

Looking for four values or answers

(A) 5.05

(B) 13

(C) $254,140.33

(D) $254,145.38

Step-by-step explanation:

(A) The value of the margin of error.

Using a 90% confidence level or 0.10 alpha level,

1 - alpha = 1 - 0.10 = 0.90

The degrees of freedom = n - 1 = 14 - 1 = 13

Using the t table, 0.90 under 13 is 1.350

Sample size divided by √n is equal to

14/√14 = 3.742

1.35 × 3.742 = 5.05

(B) 13 degrees of freedom

(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525

Adding the 14 values together, you have $3,558,000

Dividing by 14 to get the mean;

Mean = $254,142.8571

Lower Limit: $254,140.33

Upper Limit: $254,145.38

4 0

3 years ago

PLZ HELPPPPPPPPPPPPPP

insens350 [35]

Answer:

F, I only

Step-by-step explanation:

We can see this is a quadratic equation and c is the constant. What changes when we change the constant? It will change the h intercept which we can see is also known as a y intercept (the y axis is renamed as h).

You can also use graphs to visualize this, try changing the constant in the equation and you can see the y intercept change.

so the answer is F, I only.

5 0

2 years ago