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3 years ago

Write the function to represent the total numbers or words , y, that mrs. Garcia can type in x minutes.

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

Part a) $y=70x$

Part b) $3,430\ words$

Step-by-step explanation:

Let

x------> the time in minutes

y-----> the total numbers of words

step 1

we have

$A(1,70), B(2,140)$ -----> given table

<u>Find the slope of the linear equation</u>

$m=(140-70/(2-1)=70\ words/minute$

with the slope m and the point A find the equation of the line

The equation of the line in point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-70=70(x-1)$

$y=70x-70+70$

$y=70x$ ----> This is a linear direct variation

Part b) For $x=49\ min$

substitute the value of x in the linear equation to find the value of y

$y=70(49)=3,430\ words$

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3 years ago

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3 years ago

Read 2 more answers

According to creditcard , the mean outstanding credit card debt of college undergraduate was $3173 in 2010. A researcher believe

Mamont248 [21]

Answer:

a. The null and alternative hypothesis can be written as:

$H_0: \mu=3173\\\\H_a:\mu< 3173$

b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.

A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.

Step-by-step explanation:

We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.

A researcher believes that this amount has decreased since then.

Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.

The null and alternative hypothesis can be written as:

$H_0: \mu=3173\\\\H_a:\mu< 3173$

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4 years ago

Why do we choose -2, -1, 0 , 1, 2 for the x values?

vitfil [10]

Answer:

In many cases, the function is easily evaluated and/or graphed for those x-values.

Step-by-step explanation:

We are usually interested in x-values that relate to the problem at hand. In many cases, the functions we study are graphed on a coordinate plane that includes the origin and a few numbers in every direction. That is, x-values of -2, -1, 0, 1, 2 are right in the middle of the graph we want to create.

Another reason for choosing small values of x is that we may want to raise these values to some power (as for evaluating a polynomial). Many of us have memorized the first few powers of the first few integers, so using small integers makes the evaluation easier.

___

That is not always the case. Some functions may not be defined for negative values of x, or those values may not exist in the "practical domain" of the function. Trigonometric functions may be more easily evaluated for multiples of π/6, instead of small integers. Other functions may be scaled or offset so that small integer values of x are of no interest.

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