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3 years ago

Solve the inequality using the properties of inequality ad graph the final solution set on a number line that you draw by hand?

Mathematics

1 answer:

Vikki [24]3 years ago

8 0

I can't help really, in terms of showing steps because I haven't been taught this yet..

but using an online calculator... I found that x ≤ 20.

Graph:

|-----------------|-----------------|
-20 0 20

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de

nignag [31]

The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.

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The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.

A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.

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3 years ago

50pt! The function g(x)=x^2 is transformed to obtain function h: h(x)=g(x-3).

Vlad1618 [11]

Answer:

It's the Option A.

Step-by-step explanation:

h(x) = g(x - 3)

The -3 moves the whole graph of g(x) 3 units horizontally to the right.

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3 years ago

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by: