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3 years ago

The output with the y being -4

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

For this case we have a function of the form $y = f (x)$ , where $f (x) = - 4x$ . We must find the values of "and" according to the following function: $y = -4x$

So:

$f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12$

Thus, the values are:

24,8, -12

Answer:

24,8, -12

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(07.04 LC)What is the solution to the equation ax = 2?

Karo-lina-s [1.5K]

Answer:

x=12 .

Step-by-step explanation:

See image below:)

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2 years ago

What is the quotient of 2 1/4 and 5/8

Charra [1.4K]

If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5

The correct result would be 3 3/5.

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2 years ago

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krek1111 [17]

Answer:

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Step-by-step explanation:

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2 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:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

2 years ago

How does replacing f(x) with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative) affect

ivann1987 [24]

F(x) + k - Moves the graph k units up.

k f(x) stretches the graph parallel to y-axis by a facor k

f (kx) stretches the graph by a factor 1/k parallel to x-axis

f(x + k) moves the graph 3 units to the left.

For k negative the first one moves it k units down

for second transform negative does same transfoormation but also reflects the graph in the x axis

For the third transform negative k :- same as above but also reflects in y axis

4th transform - negative k moves graph k units to the right

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2 years ago