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3 years ago

#4 which input is not allowed?

Mathematics

2 answers:

andrew-mc [135]3 years ago

4 0

Answer:

x = -2

Step-by-step explanation:

Since we cannot divide by 0, the value of x which results in a denominator that is 0 is a value excluded from the domain;

This value can be found by setting the denominator equal to 0;

In this case, the denominator is -5x - 10 so we construct the following equation and solve;

-5x - 10 = 0

5x = -10

x = -2

stiv31 [10]3 years ago

3 0

Step-by-step explanation:

-5x-10≠ 0

-5x≠ 10

x≠ -2

-2 is not allowed i.e option A

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Hatshy [7]

Answer:

The unit rate $\frac{4}{1}$ of the graph is 4, the slope of the graph is 4, and the comparison between answers is that they are equal.

Step-by-step explanation:

For every increase of 1 in the X value of the graph, the Y value increases by 4, so the slope would be $\frac{4}{1}$ or 4.

8 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

Gelneren [198K]

Answer:

$v_2 \approx 1.12246\ m.s^{-1}$

$v_{10}\approx 1.4678\ m.s^{-1}$

$v_{100}\approx 1.4678\ m.s^{-1}$

Step-by-step explanation:

Mass of particles that a river can transport, $m\propto\ v^6$

where:

v = velocity of river flow

When $v=1\ m.s$

then the mass transported, $m \propto 1^6$

When mass is twice:

$v=\sqrt[6]{2}$

$v_2 \approx 1.12246\ m.s^{-1}$

When mass is 10 times:

$v=\sqrt[6]{10}$

$v_{10}\approx 1.4678\ m.s^{-1}$

When mass is 100 times:

$v=\sqrt[6]{100}$

$v_{100}\approx 1.4678\ m.s^{-1}$

7 0

3 years ago

The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t

krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

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 normally distributed samples are 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.

In this problem, we have that:

$\mu = 16.15, \sigma = 0.3, n = 50, s = \frac{0.3}{\sqrt{50}} = 0.0424$

What is the probability that the mean weight of a 50-box case of crackers is above 16 ounces?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

By the Central Limit Theorem

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

$Z = \frac{16 - 16.15}{0.0424}$

$Z = -3.54$

$Z = -3.54$ has a pvalue of 0.0001

1 - 0.0001 = 0.9999

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

3 0

3 years ago

A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers

alexandr402 [8]

"A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. " For the question "Are the conditions for inference met?" we say No, the 10% condition is not met. This is further explained below.

<h3>What is a confidence interval?</h3>

Generally, the confidence interval is simply defined as a predetermined interval across which some parameter has a certain chance of falling

In conclusion, with a resultant confidence interval of; confidence interval ( -8.373, -3.627) For the hypothesis test question "Are the inference requirements met?" Our company is certain that the 10% threshold has not been reached.

Read more about confidence interval

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6 0

2 years ago

Q = 3x + 9x? idk this one lol

Serjik [45]

Answer:

q = 12x

Step-by-step explanation:

q = 3x + 9x

Combine like terms

q = 12x

7 0

3 years ago