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3 years ago

5

Write the number 0.031 in scientific notation

1 answer:

dybincka [34]3 years ago

5 0

Answer:

3.1 x 10^-2

Step-by-step explanation:

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A train traveled 283.5 Miles in 3.5 hours. What is the trains average rate of speed

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Answer:

65 mileshour

Step-by-step explanation:

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3 years ago

Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by thi

tiny-mole [99]

Answer:

$(a)\ P(x \ge 215)$

$(b)\ P(x \ge 214.5) = 0.07353$

Step-by-step explanation:

Given

$p = 0.50$ ---- proportion of watches with defects

$n = 400$ --- Number of watches

Solving (a): Represent at least 215 of 400 are defective

In inequalities, at least means: $\ge$

So, the probability is represented as: $P(x \ge 215)$

Solving (b): Calculate $P(x \ge 215)$

Normal or Poisson: Normal distribution is characterized by 2 parameters $\mu$ and $\sigma$ .

These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution

Start by calculating the mean

$\mu =np$

$\mu = 0.50 * 400$

$\mu = 200$

Calculate standard deviation

$\sigma = \sqrt{\mu (1 - p)$

$\sigma = \sqrt{200 * (1 - 0.50)$

$\sigma = \sqrt{200 * 0.50$

$\sigma = \sqrt{100$

$\sigma = 10$

By continuity correction, we have:

$x \to x - 0.5$

$x \to 215 - 0.5$

$x \to 214.5$

So, we have:

$P(x \ge 215) = P(x \ge 214.5)$

Calculating $P(x \ge 214.5)$ , we have:

$P(x \ge 214.5) = 1 - P(x < z)$

Calculate z score

$z = \frac{x - \mu}{\sigma}$

$z = \frac{214.5 - 200}{10}$

$z = \frac{14.5}{10}$

$z = 1.45$

So, we have:

$P(x \ge 214.5) = 1 - P(x < 1.45)$

Using the z score probability table, we have:

$P(x < 1.45) = 0.92647$

So, we have:

$P(x \ge 214.5) = 1 - 0.92647$

$P(x \ge 214.5) = 0.07353$

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3 years ago

Please someone help me with the right answer help me find the area of this polygon

DanielleElmas [232]

Answer: The answer would be 1198.5 in.

Step-by-step explanation:

You would have to separate this polygon into 3 different shapes: a square, rectangle, and triangle. Here's a photo of the work:

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4 years ago

Min mows lawns to earn money. The points in this

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A 6hours is the answers

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3 years ago

In triangle abc, angle c=(5x), angle b = x, and angle c =(3x). what is angle c

Butoxors [25]

Answer:

60 degrees

Step-by-step explanation:

a+b+c= 180 degrees therefore 5x + x + 3x = 9x

9x=180 (divide) --> x=20

since c = 3x substitute in 20 for x --> 3(20) = 60 degrees for angle c

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3 years ago