Fraction and whole- Number Multiplication. 3/5 × 5

What inverse operation is used to solve the equation? x + 2 = 5

bezimeni [28]

Answer: subtraction

Step-by-step explanation:

x + 2 = 5

5 - 2 = x

x = 3

4 0

4 years ago

A distribution of values is normal with a mean of 60 and a standard deviation of 16. From this distribution, you are drawing sam

professor190 [17]

Answer:

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

Step-by-step explanation:

To solve this question, we need to understand 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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

A distribution of values is normal with a mean of 60 and a standard deviation of 16.

This means that $\mu = 60, \sigma = 16$

Samples of size 25:

This means that $n = 25, s = \frac{16}{\sqrt{25}} = 3.2$

Find the interval containing the middle-most 76% of sample means.

Between the 50 - (76/2) = 12th percentile and the 50 + (76/2) = 88th percentile.

12th percentile:

X when Z has a p-value of 0.12, so X when Z = -1.175.

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

By the Central Limit Theorem

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

$-1.175 = \frac{X - 60}{3.2}$

$X - 60 = -1.175*3.2$

$X = 56.24$

88th percentile:

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

$1.175 = \frac{X - 60}{3.2}$

$X - 60 = 1.175*3.2$

$X = 63.76$

The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.

3 0

3 years ago

2(m - 7)<br> (I don't get it and I need the answer please)

Andru [333]

Answer:

2m-14

Step-by-step explanation:

2 (m) - 2 (7)

2m-14. good luck

5 0

3 years ago

what is the volume of a triangular prism that is 75 centimeters long and that has a base with an area of 30 square centimeters

pychu [463]

75 * 30= 2250 that's how u get the answer

3 0

3 years ago

During a clearance sale, a discount of 33.3% is given on a dinner set marked at $2799. Find it's selling price

Mashcka [7]

First, convert the 33% to a real mathematical number. For percents, this is always done by dividing the 33% by 100%, or 33% / 100% = 0.330.

Second, find out what 33% of $2799 is. This is the amount of the sale discount. This is always found by mulitplying 0.330 by the item's cost $2799, like this:

0.330 x $2799 = $923.67.

So for this sale, you'll save $923.67 on this item.

This means, the cost of the item to you is

$2799 - $923.67 = $1875.33.

Alternatively, you can think about it this way. The item is 33% off. This means you'll pay 67.000% of the total cost (100% - 33% = 67.000%).

Now what's 67.000% of the total cost?

0.670 x $2799 = $1875.33.

Just like the result above, the sale price on the item is $1875.33.

Hope this helps you on your assignment! :)

4 0

4 years ago

Fraction and whole- Number Multiplication. 3/5 × 5​

Fraction and whole- Number Multiplication. 3/5 × 5