Paul has some money in his wallet, all in $1 bills. He buys a hat and has $6 left, as shown in

A truck stops at a gas station where diesel fuel costs $3.99 per gallon. The truck needs 8.8 gallons of diesel for the driver to

Dmitry [639]

36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112

6 0

2 years ago

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comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or

ella [17]

Let a set of $n$ elements.
We can find $n!$ (factorial) of the $n$ element.
However, combination of the element lead to less than $n!$ possibilities.
(combining like adding or multiplying)
So the proposition is false.

6 0

2 years ago

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A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of

Gre4nikov [31]

Answer:

1. The correct answer is 46%

2. The correct answer is .07

3. The correct answer is (34%,58%)

4. The correct answer is (32%,60%)

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

The correct answer is 46%

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

The correct answer is .07

3. Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

The correct answer is (34%,58%)

4. Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

The correct answer is (32%,60%)

3 0

2 years ago

A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w

mafiozo [28]

The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.

Explanation:

One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.

3 0

2 years ago

A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3

butalik [34]

Answer:

The answer is below

Step-by-step explanation:

A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.

a) Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.

a) A house is located 5 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?

Answer:

Let the center of the town represent the origin (0,0). Also 1 unit = 1 mile. Since the cell tower is located 3 miles east and 4 miles north of the center of a small town, it is represented by A(3, 4)

The cell tower has a coverage of radius 3 miles. This can be represented by a circle with equation:

(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius. Hence:

(x - 3)² + (y - 4)² = 3²

(x - 3)² + (y - 4)² = 9

The diagram is drawn using geogebra.

b) The house is 5 miles north. It can be represented by y = 5 line.

To find the distance east of the house we have to substitute y = 5 and solve for x, hence:

(x - 3)² + (y - 4)² = 9

(x - 3)² + (5 - 4)² = 9

(x - 3)² + 1 = 9

(x - 3)² = 8

(x - 3) = √8

x - 3 = ±2.83

x = 3 ± 2.83

x = 5.83 or 1.83

Since it is to the east to the cell tower, hence x = 5.83.

Therefore the house is located 5.83 miles to the east of the cell tower

8 0

2 years ago