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4 years ago

I need help simplifying a math problem. It is (x^2 * x^-3)^4

1 answer:

4 0

$(x^2 \times x^{-3})^4 \\ \\ (x^{2-3})^4 \ / \ product \ rule \\ \\ (x^{-1})^4 \ / \ simplify \\ \\ x^{-4} \ / \ simplify \\ \\ \frac{1}{x^4} \ / \ negative \ power \ rule \\ \\ Answer: \frac{1}{x^4}$

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If Hector is 8 years old and Mary is 3 years old how old will Mary be when Hector is 16

IRINA_888 [86]

Okay so 8 (hector) - 3(Mary) = 5 years apart
So, 16 (hector) - 5 (years apart) = 11 (Mary’s age)

7 0

3 years ago

What is the domain of f(x)=(1/4)^x?

atroni [7]

$\huge \bf༆ Answer ༄$

The domain of given function is All real numbers

$\sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x}$

For each value of x the function is defined.

Example -

For x = 1

The value is $\sf\frac{1}{4}$

For x = -1

The value is 4

$꧁ \: \large \frak{Eternal \: Being } \: ꧂$

3 0

2 years ago

How many liters is 250,000 cm3?

eimsori [14]

Once cubic centimeter = 1 milleter

1 mL = 1000 L

250,000 ÷ 1000 = 250

There are 250 liters in 250,000 cubic centimeters.

3 0

3 years ago

Read 2 more answers

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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