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2 years ago

A report says that "the median credit card debt of American households is zero."

1 answer:

4 0

Usually the median is defined by the middle number, so without any doubts I can say that due to the fact that half of population has zero effect the overall index is zero. Hope it is clear that the last ( D.The median debt is zero because more than half of credit card debts are zero.) option is the only correct answer whereas the others ones are wrong.

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

2 years ago

A puppeteer is making a triangular hat for a puppet. If two of the three angles of

Burka [1]

Answer:

The triangle is an isosceles triangle and the measure of the third angle is 120°

Step-by-step explanation:

the other nd 2 angles in the triangle both measures 30 degrees, the triangle angle sum theorem states that all the angles in a triangle add up to 180 degrees. Add the first two angles together and subtract it from 180. That's

180 - 60 and it equals 120

5 0

2 years ago

Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?

GrogVix [38]

Answer:

3.66meters long

Step-by-step explanation:

since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long

7 0

2 years ago

What values for θ (0 ≤ θ ≤ 2pie ) satisfy the equation?

svetoff [14.1K]

Factor out the cosθ:
cosθ (2sinθ + sqrt3) = 0
Therefore, the only ways this can happen are if either cosθ = 0 or if (2sinθ + sqrt3) = 0
The first case, cosθ = 0 only at θ = pi/2, 3pi/2.
The second case, (2sinθ + sqrt3) = 0 simplifies to:
sinθ = (-sqrt3)/2
θ = 4pi/3, 5pi/3
Therefore the answer is A.

7 0

2 years ago

Clarissa helps her mom put the 200-Newton lawn mower in the back of her mom’s truck. They lift the mower up from the ground to t

Anarel [89]

Answer:

220 N * m or 220 J

Step-by-step explanation:

We have that the work formula would be the applied force multiplied by the distance traveled, that is:

W = F * d

In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:

W = 200 * 1.1

W = 220 N * m = 220 J

Therefore the work carried out by Clarissa and her mom is 200 joules.

4 0

2 years ago