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borishaifa [10]
4 years ago
13

Solve for x...........

Mathematics
1 answer:
julsineya [31]4 years ago
5 0

Answer:

x=?

Step-by-step explanation:

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1

Step-by-step explanation:

5 0
3 years ago
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According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard
Alecsey [184]

Answer:

Probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

Step-by-step explanation:

We are given that according to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard deviation of 0.05 inches.

A random sample of 40 November days is taken(taken over many years).

<u><em>Let </em></u>\bar X<u><em> = sample mean daily precipitation</em></u>

The z score probability distribution for sample mean is given by;

                                 Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = 0.10 inches

           \sigma = population standard deviation = 0.05 inches

           n = sample of days = 40

Now, the probability that the mean daily precipitation will be 0.09 inches or less is given by = P( \bar X \leq 0.09 inches)

 P(\bar X \leq 0.09 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{0.09-0.10}{\frac{0.05}{\sqrt{40} } } ) = P(Z \leq -1.265) = 1 - P(Z < 1.265)

                                                                    = 1 - 0.8971 = <u>0.1029</u>

<em>The above probability is calculated by looking at the value of x = 1.265 from the z table which will lie between x = 1.26 and x = 1.27 which has an area of 0.89617 and 0.89796 respectively.</em>

Hence, the probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

8 0
3 years ago
10. What is the missing statement in the proof?
Paraphin [41]

Answer:

∠3 ≅ ∠2.

Step-by-step explanation:

                 

7 0
3 years ago
6. The equation c = 523, 430(1.193)t models United States copper production in pounds from 1987 – 1992. Which statement best int
Licemer1 [7]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
A train leaves little rock Arkansas, travels north at 85 kilometers per hour. another train leaves same time and travels south a
iragen [17]

Hi,

Let us denote first train with T₁, its distance d₁, its speed v₁ = 85 km/h.

Similarly, second train would be with T₂, its distance d₂, its speed v₂ = 80 km/h. Also, let d be total distance, d = 495 km.

Given being the fact that train T₁ travels north, and train T₂ travels south, their path is on a straight vertical line. Please create a simple drawing, you will see the vertical line immediately.

Then, we need to find the time t, when d₁ + d₂ = d = 495 km (1)

Each speed v₁, and v₂ is constant, therefore we apply very well known formula:

d₁ = v₁·t, and d₂ = v₂·t (2).

From (1) and (2) we have:

v₁·t + v₂·t = d, or (v₁ + v₂)t = d ⇒ t = d/(v₁ + v₂) = 495/(80 + 85) = 495/165 = 3 hours.

So, it takes 3 hours to have those 2 trains 495 km apart.

Green eyes.

6 0
3 years ago
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