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Vikentia [17]
3 years ago
14

Costco installs automobile tires on a first-come first-serve basis. the total time a customer needs to wait for the installation

to be completed follows the normal distribution with a mean time of 106.3 minutes and a standard deviation of 18.5 minutes. the interval around the mean that contains 68% of the wait time for customers is ________.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0
The interval would be from 87.8 to 124.8.

68% of the data fall within one standard deviation of the mean, so we calculate

106.3 +/- 18.5:

106.3 - 18.5 = 87.8
106.3 + 18.5 = 124.8
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Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
4 years ago
A postcard in the shape of a parallelogram has an area of 12in^2. What are two possible lengths of bases and heights for the pos
Tpy6a [65]

A postcard is in the shape of a parallelogram. A parallelogram  is a quadrilateral with two pair of parallel sides, opposite sides and opposite angles are equal.

Since, the postcard has an area of 12 square inches.

Since, area of parallelogram = base \times height

As area of parallelogram is 12, it means that the product of base and height is 12 square inches.

So, the possible dimensions of postcard are 3 inches and 4 inches and 2 inches and 6 inches.

So, base = 3 inches , height = 4 inches or base = 4 inches , height = 3 inches.

So, base = 2 inches, height = 6 inches or base = 6 inches , height = 2 inches.

8 0
3 years ago
Part 1 - Application Pick one of the two graphs below. Describe a situation which could be modeled by this polynomial graph. Be
Goryan [66]

One good example of a situation that can be modeled by this Polynomial Graph is the price-time relationship between currency pairs being traded on the Foreign Exchange Market.

<h3>What is a Polynomial Graph?</h3>

A polynomial parameter graph is essentially a smooth continuous curve.

Although the forex graph attached has sharp undulations, when regressed and viewed via Polynomial Regression Indicators, they exhibit strong polynomial qualities that meet the requirements of the definition above.

It is to be noted that the Y-Axis is indicative of the price of the currency pairs (which could be any currency against another) and the X-Axis expresses time. See the attached graphs for a better picture.

Learn more about polynomial graphs at:
brainly.com/question/9696642
#SPJ1

6 0
2 years ago
Which graph represents a function?
valina [46]

The graph on the top right would represent a function. A function line on a graph includes one line going in one direction. It's not 2 lines, its not just dots either and it definitely isn't in a square because, as I said, it goes in ONE direction. Hope this helped!

8 0
3 years ago
Read 2 more answers
The geometric mean of a number and four times the number is 22. What is the number?
Misha Larkins [42]
2 square root x • 4x= 22

2x=22

x=11

Answer is 11
8 0
3 years ago
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