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4 years ago

What is the value of -d when d=-2?

Mathematics

2 answers:

fenix001 [56]4 years ago

5 0

The answer would be a positive 2

In-s [12.5K]4 years ago

4 0

So, we know that D=-2 so -D=2

You might be interested in

Lance loaded 89 boxes into his delivery truck in the morning . At 2 o clock that afternoon he had 36 boxes left on the truck . H

zubka84 [21]

Answer:

53 boxes

Step-by-step explanation:

Subtract the end amount from the beginning amount to find the number of boxes already delivered.

89-36=53

4 0

3 years ago

Linda made $180 for 12 hours of work.

Vinil7 [7]

Answer:

I believe its 9 hours.

Step-by-step explanation:

Divide 180 by 12 to get 15

So Linda makes 15 dollars an hour

Then divide 135 by 15 to get 9

Linda would need to work 9 hours to get $135

6 0

3 years ago

You are checking in a customer’s bag for a flight out of the country. There is a 50-pound weight limit per bag. The customer’s b

goldenfox [79]

Answer:

21.3188kg or 21.3kg

Step-by-step explanation:

As one kilogram is equal to 2.20462 pounds we can calculate the weight in kilograms by taking 2.20462 / 47 and we get 21.3188kg

4 0

3 years ago

A population of plastic chairs in a factory has a weight's mean of 1.5 kg and a standard deviation of 0.1 kg . Suppose a sample

Firlakuza [10]

Answer:

0.9544 = 95.44% probability that the sample mean will be within +0.02 of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 1.5, \sigma = 0.1, n = 100, s = \frac{0.1}{\sqrt{100}} = 0.01$

What is the probability that the sample mean will be within +0.02 of the population mean?

Sample mean between 1.5 - 0.02 = 1.48 kg and 1.5 + 0.02 = 1.52 kg, which is the pvalue of Z when X = 1.52 subtracted by the pvalue of Z when X = 1.48. So

X = 1.52

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

By the Central Limit Theorem

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

$Z = \frac{1.52 - 1.5}{0.01}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 1.48 

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

$Z = \frac{1.48 - 1.5}{0.01}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the sample mean will be within +0.02 of the population mean.

3 0

3 years ago

What is the transformations of f(x)=(x-2)^2-4

prisoha [69]

This is how to solve the problem: "What is the transformations of f(x)=(x-2)^2-4"

Looking at the quadratic equation given,
f(x) = (x-2)^2 - 4
It's like seeing product of sum and difference of two squares.

(x-2)^2 - 4
[ (x-2) - 2 ] [ (x-2) + 2 ]
[ x - 2 - 2 ] [ x - 2 + 2 ]
[ x - 4 ] [ x ]
[ x^2 - 4x ]

So the final transformation of f(x) = (x-2)^2 -4 is f(x) = (x^2 - 4x).
In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.

4 0

4 years ago