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Iteru [2.4K]
3 years ago
7

Identify the constant term in this expression 7p - 3p + 9 + x

Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer:

the constant in this expression is 9 because it is not a coefficient of any variable

pishuonlain [190]3 years ago
4 0

Answer:

The constant in the expression is 9.

Step-by-step explanation:

The 9 is the only number that doesn't have a variable attached to it, which makes it a constant.

Hope this helps :)

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My Than purchased a bicycle costing RS 56oo from a dealer at 51 discount and a sold a profit of 10%. If he had soll it at sy dis
Alisiya [41]

Answer:

sp of bicycle =5600

cp of bicycle =10

now,

profit(p)=sp-cp

=5600-10

=5,590

The profit of bicycle is Rs 5,599

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Which two consecutive whole numbers does StartRoot 39 EndRoot lie between? Why?
Arlecino [84]

. The answer is 21.

Step-by-step explanation:

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3 years ago
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Suppose you are interested in the effect of skipping lectures (in days missed) on college grades. You also have ACT scores and h
DIA [1.3K]

Answer:

a) For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

b) This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

c) If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

Step-by-step explanation:

For this case we have the following multiple regression model calculated:

colGPA =2.52+0.38*HSGPA+0.015*ACT-0.5*skip

Part a

(a) Interpret the intercept in this model.

For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

(b) Interpret \hat \beta_{ACT} from this model.

This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

(c) What is the predicted college GPA for someone who scored a 25 on the ACT, had a 3.2 high school GPA and missed 4 lectures. Show your work.

For this case we can use the regression model and we got:

colGPA =2.52 +0.38*3.2 +0.015*25 - 0.5*4 = 26.751

(d) Is the estimate of skipping class statistically significant? How do you know? Is the estimate of skipping class economically significant? How do you know? (Hint: Suppose there are 45 lectures in a typical semester long class).

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

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hodyreva [135]
So the equation is x + 2x + 5= 29
Here are the steps            -5    -5
                               -----------------------
                                        3x   = 24
      Divide both sides by 3 so you get
                                          x = 8
Then look back at the question, the second number has to be twice that number plus 5
                 So the 1st number is 8 The second # is 2(8)+5= 21

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A hose fills a hot tub at a rate of 4.26 gallons per minute. How many hours will it take to fill a 265-gallon hot tub?
Studentka2010 [4]

Answer: Divide the volume of the bath tub by the rate at which the hose folks the bath tub

 

Time = 251/ 4.86

 

= 51.64 hours

Step-by-step explanation:

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