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2 years ago

16. The number of miles a car can be driven depends on the number of gallons in its tank. The

Mathematics

1 answer:

valentina_108 [34]2 years ago

5 0

Answer:

Step-by-step explanation:

a cheap 22 * 22 is 44 so the answer should be 44 please don't trust me if I'm wrong I'm using the voice thing so yeah

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

Write the following number by entering one digit in each box of the place value chart.

shutvik [7]

Answer:

The number itself is 508.231

Step-by-step explanation:

Any multiplying each of the numbers, we will have the specific places

Hundreds

5 * 100 = 500

Tenths

0 * 10 = 0

ones

8 * 1 = 8

Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2

Hundredths = 3/100 = 0.03

Thousandths = 1/1000 = 0.001

So we simply sum all these to get the number itself as follows

500 + 8 + 0.2 + 0.03 + 0.001 = 508.231

5 0

2 years ago

Simplify 0.5 (-77.8-11)/ -4 show all your steps

Mekhanik [1.2K]

Answer:

11.1

Step-by-step explanation:

0.5(−77.8−11)/−4

=(0.5)(−88.8)/−4

=−44.4/−4

=11.1

3 0

2 years ago

Use the graph of the polynomial function to find the factored form of the related polynomial assume it has no constant factor

tensa zangetsu [6.8K]

Answer:

(D)(x-2)(x+2)

Step-by-step explanation:

As raízes do polinômio são 2 e -2, portanto sua forma fatorada tem que ser (x-x1)(x-x2) se x1=2 e x2=-2. Então:

p(x) = (x-2)(x+2)

5 0

3 years ago

Read 2 more answers

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205

lawyer [7]

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

3 0

2 years ago