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wolverine [178]
3 years ago
6

5 customers approach your truck each with a coupon for 2 dollars. The total amount of money they will spend can be represented b

y the expression 5(x - 2). Simplify this expression to determine the total amount of money spent. Show your work.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer: m=5x-10

Step-by-step explanation: money spent =5(x-2)

money spent=m

m=5(x-2)

m=5x-10

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A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa
UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so \mu = \frac{14}{60} = 0.2333

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0
4 years ago
The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p
VLD [36.1K]

Answer:

3.13

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

\chi^2_{1-\frac{\alpha}{2}}= 51.770

Chi square critical value for upper tail =

\chi^2_{\frac{\alpha}{2}}= 81.085

80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0
3 years ago
If a car is traveling 65mph how long will it take to drive 26 miles?
Anarel [89]

Answer:

the speed  s=65 mph

distance to reach d=26 miles

what is time required to reach 26 miles with a speed of 65mph , t?

distance =speed x time

time= d/s

t=26/65=0.4hrs=24minutes would be the answer

4 0
3 years ago
Write 6 x 10-2 in standard notation.
pochemuha

Answer:

1/600 or 0.00166666 in decimal

Step-by-step explanation:

6*10^-2=1/(6*10^2)=1/(6*100)=1/600

8 0
3 years ago
The graphic compares two basketball shoes.
rewona [7]
<span>2 the Air Slammers because they are the best price.
According to the information given to receive the best deal, he would choose the Air Slammers because the price is the cheapest, and even if the hyper dunks would last 2 seasons if the air slammers lasted 1 season each the total would be less than the Hyper Dunks.
</span>
8 0
3 years ago
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