Find the surface area of the cube (above) using its net (below).

A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked d

Dmitriy789 [7]

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.

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.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that $n = 25$

The chance for a procedural error is 10%

This means that $p = 0.1$

What is the probability that the manager finds more than two such transactions?

This is:

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

In which

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629$

0.4629 = 46.29% probability that the manager finds more than two such transactions

4 0

3 years ago

A cylinder has a radius of 10 and height of 10 what is the surface area

spayn [35]

The surface area equation of a cylinder is:

2 * pi * r^2 + 2 * pi * r * h

Plug the values in:

2 * pi * 10^2 + 2 * pi * 10 * 10 is about 1256.64 units squared.

8 0

3 years ago

Read 2 more answers

kali trains for a race by running round a track. each lap is 400 meters. she run 4 kilometers each day. how many lapsaround he t

Levart [38]

1 km = 1000m
so 4 km = 4(1000) = 4000 m

so Kali runs 4000 m per day
4000/400 = 10 laps per day

for 3 days = 3(10) = 30 laps for 3 days

3 0

3 years ago

The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle? S

VikaD [51]

Answer:

the 8th exterior angle is 49 degrees

Step-by-step explanation:

The sum of the exterior angles of an octagon is 360 degrees

(this is true for all polygons)

42°+55°+ 39°+ 20°+ 62°+45°,+ 47+x = 360

combine like terms

311+x=360

subtract 311 from each side

311-311 +x = 360-311

x=49

4 0

3 years ago

Write the equation of a circle with diameter endpoints of (-14,1) and (-10,9)

lara31 [8.8K]

Answer:

$(x+12)^2+(y-5)^2=80$

Step-by-step explanation:

First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is $\sqrt{4^2+8^2}=\sqrt{80}$ .

8 0

3 years ago