Domain, range, etc. please help

natima [27]

Answer:

Step-by-step explanation:

Not always. If, however, the given function passes the "horizontal line test," then the given function has an inverse which is also a function. The horizontal line test consists of drawing a horizontal line through the given graph; if the line intersects the graph in only one place, it "passes," and the given function has an inverse function.

8 0

4 years ago

Need help don’t understand

Xelga [282]

Answer:

2 real solutions

Step-by-step explanation:

To determine the nature of the solutions use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real solutions

• If b² - 4ac = 0 the 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions

Given

x² + 9x + 20 = 0 ← in standard form

with a = 1, b = 9, c = 20, then

b² - 4ac

= 9² - (4 × 1 × 20 ) = 81 - 80 = 1

Since b² - 4ac > 0 then there are 2 real solutions

7 0

3 years ago

The population of scores on a nationally standardized test forms a normal distribution with μ = 300 and σ = 50. If you take a ra

madreJ [45]

Answer:

$P(\bar X$

And using a calculator, excel or the normal standard table we have that:

$P(Z$

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".

Solution to the problem

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

$X \sim N(300,50)$

Where $\mu=300$ and $\sigma=50$

Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the individual probability like this:

$P(\bar X$

And using a calculator, excel or the normal standard table we have that:

$P(Z$

4 0

3 years ago

Xavier is saving to purchase a new television that costs $483. He has $227 in his bank account. He deposits an additional $130 a

inn [45]

$18 each week for 6 weeks.

7 0

3 years ago

Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make

Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

Lowest common multiple is 15, that means 15 is the minimum number of pieces of each that can be purchased to make bouquets.

And number of packets of red rose have to purchase = 3 $\times$ 5 = 15, 5 packages.

And number of packets of white rose have to purchase = 5 $\times$ 3 = 15 , 3 packages.

4 0

3 years ago

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