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OLEGan [10]
3 years ago
7

Between​ 12:00 PM and​ 1:00 PM, cars arrive at a local​ bank's drive-thru at the rate of cars per hour ​( car per​ minute). The

formula below from probability can be used to determine the probability that a car will arrive within t minutes of​ 12:00 PM. Use this information to answer the questions given below in parts ​(a)​(e).
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Complete question :

Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t

Determine how many minutes are needed for the probability to reach 80%.

Answer:

16.09 minutes

Step-by-step explanation:

Given the function :

F(t)=1−e^−0.1t

To attain 80% probability ; 80% = 0.8

0.8 = 1 - e^-0.1t

0.8 - 1 = - e^-0.1t

-0.2 = - e^-0.1t

Take the In of both sides

In(0.2) = In( e^-0.1t)

−1.609437 = - 0.1t

Divide both sides by - 0.1

−1.609437 / -0.1 = - 0.1t / 0.1

16.09 = t

Hence, the time it'll take will be 16.09 minutes

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andreyandreev [35.5K]

Answer:

20

Step-by-step explanation:

The number of combinations of 6 points taken 3 at a time is ...

6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 5·4 = 20

___

If you number the points 1–6, the points of the 20 triangles will be ...

123 124 125 126 134

135 136 145 146 156

234 235 236 245 246

256 345 346 356 456

7 0
4 years ago
AB is tangent to the circle at B. M∠A=40 and mBC=130. <br> a. Find x <br> b. Find y
soldi70 [24.7K]

The values for x and y are respectively given as

  • x = 50
  • y= 90

This is further explained below.

<h3>What is the values for x and y ?</h3>

Generally, the equation for secent  is  mathematically given as

secent = \frac{big arc - small arc}{2}

Therefore

40 = \frac{130-x}{2}

80 = 130-x

x = 50

b) To Solve for y Now we find a measure of arc CD

ArcCD = 360-130-50

ArcCD = 180

In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.

y = 180/2

y= 90

Read more about circle

brainly.com/question/11833983

#SPJ1

3 0
2 years ago
Can someone help me with this i really need help
Ray Of Light [21]
Ok so function means that x never repeats with a different y

function could be
table: (1,2) (2,4) (4,8) etc
graph the points


not a function could be
(1,1) (2,1) (3,1) (4,1)




range is the output or y
range is R={-4,-1,2,5}
8 0
3 years ago
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
kolbaska11 [484]

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

3 0
3 years ago
The selling price of a​ refrigerator, is ​$ 796.40 . If the markup is 10 % of the​ dealer's cost, what is the​ dealer's cost of
8_murik_8 [283]

The final price (what it is selling for) is $796.40

The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.

We need to find the original price.

We write this as an equation

The original price *110% = final price

This is because the original price is itself (100%) added with 10%

Plug in the known final price

Original Price * 110% = 796.40

Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.

Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)

110% = 1.1

So it is now

Original price *1.1 = 796.40

Divide both sides by 1.1 to isolate our unknown, the original price

Original price = $724

5 0
4 years ago
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