All categories

4 years ago

Which statement is true about the graphed function?

Mathematics

2 answers:

yarga [219]4 years ago

4 0

Answer: Choice D)

F(x) > 0 over the inverval (-infinity, -4)

Translation: The y or f(x) values are positive whenever x < -4.

========================================================

Further Explanation:

Recall that y = f(x), so if we say something like f(x) < 0 then we mean y < 0. Choice A is false because points on the curve to the left of x = -4 have positive y coordinates. Similar reasoning applies to choice B as well.

Choice C is false because while the interval (-infinity, -4) is above the x axis, the portion from x = -4 to x = -3 is below the x axis.

Choice D is true because everything to the left of x = -4 is above the x axis. Pick any point on the blue curve that is to the left of x = -4. This point will be above the horizontal x axis. Keep in mind that the parenthesis notation attached to the -4 means we dont include -4 as part of the interval.

abruzzese [7]4 years ago

3 0

Answer:

The answer is D

Step-by-step explanation: Just trust me homie

You might be interested in

Find the slope of the line passing through the points<br> (-6,-5) and (4,4) ?

Musya8 [376]

Answer:

$\frac{9}{10}$

Step-by-step explanation:

The equation to solve this is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}$ , so in this case it would be $\frac{4-(-5)}{4-(-6)} =\frac{9}{10}$

7 0

4 years ago

ecn 221 The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a s

iren [92.7K]

Answer:

$a=14 -0.842*3=11.474$

So the value of height that separates the bottom 20% of data from the top 80% is 11.474.

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 lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(14,3)$

Where $\mu=14$ and $\sigma=3$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.8$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(z>-0.842)=0.8

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=14 -0.842*3=11.474$

So the value of height that separates the bottom 20% of data from the top 80% is 11.474.

6 0

3 years ago

Suzie surveyed 8 students at her school about their favorite colors. Of the students surveyed, 2 said green was their favorite c

Triss [41]

Answer:

it should be 3 people that like green

Step-by-step explanation:

7 0

3 years ago

Simplify the answer

Andru [333]

Answer:

- 20 + 8i

Step-by-step explanation:

Noting that i² = - 1

Given

[(6i + 9) + (4i - 5)] × 2i ← evaluate the terms inside the square bracket

= ( 6i + 9 + 4i - 5 ) × 2i

= (10i + 4) × 2i ← multiply each term in the parenthesis by 2i

= 20i² + 8i

= 20(- 1) + 8i

= - 20 + 8i

8 0

3 years ago

Does anybody know this?

vagabundo [1.1K]

Answer:

see attached

Step-by-step explanation:

Reflection in the line y=1 is accomplished by the transformation ...

(x, y) ⇒ (x, 2 -y)

Each point in the image is as far below the line as the original point is above the line.

6 0

2 years ago