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3 years ago

What is 65/200 simplified

Mathematics

2 answers:

KonstantinChe [14]3 years ago

6 0

The answer is 13/40 or .325

Sunny_sXe [5.5K]3 years ago

5 0

To simplify and keep it in a fraction divide by common factors.

65/200, divide both numerator and denominator by 5 and you get 13/40

To convert to decimal simply divide either 13 by 40 or the original fraction, 65 by 200 which gets you .325

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(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probabi

ololo11 [35]

Answer:

C. Probability is 0.90, which is inconsistent with the Empirical Rule.

Step-by-step explanation:

We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.

First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:

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

$z=\frac{87.5-97.5}{6.1}$

$z=\frac{-10}{6.1}$

$z=-1.6393$

$z\approx-1.64$

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

$z=\frac{107.5-97.5}{6.1}$

$z=\frac{10}{6.1}$

$z=1.6393$

$z\approx 1.64$

Now, we need to find the probability $P(-1.64$ .

Using property $P(a$ , we will get:

$P(-1.64$

From normal distribution table, we will get:

$P(-1.64$

Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.

6 0

3 years ago

Jumbo eggs in Australia, on average, are supposed to weigh 68g. Margot is in charge of a quality control test that involves weig

Andrej [43]

Answer:

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 67g and a sample standard deviation of 1g.

This means that $\mu = 67, \sigma = 1$

Sample of 4

This means that $n = 4, s = \frac{1}{\sqrt{4}} = 0.5$

What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?

This is the pvalue of Z when X = 68.5. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{68.5 - 67}{0.5}$

$Z = 3$

$Z = 3$ has a pvalue of 0.9987

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

6 0

2 years ago

Read 2 more answers

A rectangular park is 6x + 2 ft long and

Novosadov [1.4K]

Answer: 18x^2 + 48x - 50

Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.

The area of the square is given as

Area = L x B, where A and B are of equal measurement (sides of a square)

Area = 8 x 8

Area = 64 ft^2

Next we calculate the area of the rectangle which is given as

Area = L x B, where L = 6X + 2 and W = 3X + 7

Area = (6X + 2) (3X +7)

Area = 18X^2 + 42X + 6X + 14

Area = 18X^2 + 48X + 14

We can now subtract the area of the square from the area of the rectangle

That is Area of the shaded region

= 18X^2 48X + 14 - 64

= 18X^2 + 48X - 50

Therefore, the area of the shaded region = 18X^2 + 48X - 50

5 0

2 years ago

An object is launched directly in the air at a speed of 48 feet per second from a platform located 12 feet above the ground. The

anastassius [24]

9514 1404 393

Answer:

48 ft

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

t = -48/(2(-16)) = 1.5

Then the maximum height is ...

f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

f(1.5) = 48

The maximum height the object will reach is 48 feet.

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2 years ago

Justin has a roll of tape 549 centimeters long. he cuts the tape into pieces that are 9 centimeters long. How many 9 centmeter p

Olenka [21]

Answer:

Step-by-step explanation:

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2 years ago