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Musya8 [376]
3 years ago
14

Madison created two functions.

Mathematics
2 answers:
Neko [114]3 years ago
6 0

Answer:

<h2>B.  Function A has a greater rate of change than Function B has.</h2>

Step-by-step explanation:

<h3>Function A.</h3>

<em>The value of y is two less than four times the value of x.</em>

This statement can be expressed as

y=4x-2

This linear function is expressed as slope-intercept form. Where the slope is

m=4

<h3>Function B.</h3>

This function is represented by the given table.

If you observe, the domain is defined as -3, -1, 1, 3. The range is defined as -9, -5, -1, 3.

The domain values increase two units. Range values increase by 4. So, the ratio or slope of this function is

m=\frac{4}{2}=2

If we compare the ratio of change (or slopes) of both function, we would find that Function A as a doble ratio of change than Function B. In other words, Function A has a greater rate of change than Function B.

Therefore, the right answer is B.

Degger [83]3 years ago
3 0
Madison created two functions.For Function A, the value of y is two less than four times the value of x. 

The table below represents Function B.
-3,-9
-1,5
1,-1
3,3

In comparing the rates of change, which statement about Function A and Function B is true?

A.

Function A and Function B have the same rate of change.
B.

Function A has a greater rate of change than Function B has.
C.

Function A and Function B both have negative rates of change.
D.

Function A has a negative rate of change and Function B has a positive rate of change.

C is correct
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The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

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

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

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

P(X>a)=0.84   (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 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

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=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in
Svet_ta [14]

The inequality is t < 55

<em><u>Solution</u></em><em><u>:</u></em>

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

<em><u>This is represented by inequality:</u></em>

t

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

3 0
3 years ago
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m
pychu [463]
The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time  = distance / speed
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The answer is 6 hours.



8 0
3 years ago
-5X +1 92 - 321+13 - 12X
Bogdan [553]

Answer:

Step-by-step explanation:

There’s no equal sign.

8 0
3 years ago
What is the square root of 49<br> giving brainliest
tia_tia [17]

Answer:

<h2>7</h2>

Step-by-step explanation:

here 7×7 = 49

So the square root of 49 is 7.

Hope it helps you!!

#IndianMurgaツ

4 0
2 years ago
Read 2 more answers
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