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aev [14]
3 years ago
13

Someone please help me! Solve 14x + 2 = 9

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

subtract 2 from 2 and 9

that gives you 14x=7

divide both sides by 14

that gives you x=7/14

which =1/2

so x=1/2

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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
3 years ago
A farmer has 180 yards of fencing material to make a rectangular
dlinn [17]

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

5 0
3 years ago
The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu
PSYCHO15rus [73]

Answer:

a) I(95,50) = 73.19 degrees

b) I_{T}(95,50) = -7.73

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

a) Calculate I at (T ,H) = (95, 50).

I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19 degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is I_{T}(T,H). So

I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}

I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H

I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73

8 0
3 years ago
Pleaseeeeee help I’m so confused
SSSSS [86.1K]

Answer:

4747

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the value of the missing exponent in the equation 7.4 ÷ 10= 0.074?
KiRa [710]

the answer is 0.74 not 0.074

Step-by-step explanation:

<h3>7.4 <u><em>÷ </em></u><em> 10 = 0.74</em></h3>
7 0
2 years ago
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