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solmaris [256]
2 years ago
10

PLEASE HELP 49 [email protected]



show your work!

Mathematics
2 answers:
Vinil7 [7]2 years ago
7 0

Answer:


Step-by-step explanation:

Yes it is because it can be written in the form y=kx.(y=5/9x)

The constant variation would be 5/9.

Pretty sure this is correct but if not, sorry! Hope this helps.

julsineya [31]2 years ago
3 0

Answer:

This is a direct variation where the constant of variation is 5/9

Step-by-step explanation:

The equation for direct variation is y = kx

5x-9y =0

Lets try to get this equation in the above form

Add 9y to each side

5x-9y +9y = 9y

5x = 9y

Divide each side by 9

5/9 x = 9y/9

5/9x = y

This is in the form y = k x where k =5/9


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The Nellie Mae organization conducts an extensive annual study of credit card usage by college students. For their 2004 study, t
Masja [62]

Answer:

1. Null Hypothesis, H_0 : p_1-p_2=0  or  p_1=p_2  

  Alternate Hypothesis<u>,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2

2. Test statistics = 4.63

    P-value = 0.00001

3. We conclude that the proportion of undergraduate students who held a credit card differed between these two years.

Step-by-step explanation:

We are given that the Nellie Mae organization conducts an extensive annual study of credit card usage by college students.

For their 2004 study, they analyzed credit bureau data for a random sample of 1,413 undergraduate students between the ages of 18 and 24. They found that 76% of the students sampled held a credit card. Three years earlier they had found that 83% of undergraduates sampled held a credit card.

<em>Let  </em>p_1<em> = population proportion of undergraduate students who held a credit card in year 2001</em>

<em />p_2<em> = population proportion of undergraduate students who held a credit card in year 2004</em>

1. <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1=p_2   {means that the proportion of undergraduate students who held a credit card does not differed between these two years}

<u>Alternate Hypothesis,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2   {means that the proportion of undergraduate students who held a credit card differed between these two years}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                        T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of undergraduate students who held a credit card in 2001 = 83%

\hat p_2 = sample proportion of undergraduate students who held a credit card in 2004 = 76%

n_1 = sample of students surveyed in 2001 = 1,413

n_2 = sample of students surveyed in 2004 = 1,413

So, <em><u>test statistics</u></em>  =   \frac{(0.83-0.76)-(0)}{\sqrt{\frac{0.83(1-0.83)}{1,413} +\frac{0.76(1-0.76)}{1,413}} }  

                               =  4.63

2. <u><em>Hence, the value of test statistics is 4.63.</em></u>

Also, P-value is given by the following formula;

         P-value = P(Z > 4.63) = 1 - P(Z \leq 4.63)

                                             = 1 - 0.99999 = <u>0.00001</u>

<em />

3. <em>Since in the question we are not given the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics is does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of undergraduate students who held a credit card differed between these two years.

6 0
2 years ago
The ratio of two numbers is 3 to 5. Their sum is 136. Find the two numbers. how do I write it into an equation?
kotykmax [81]
3X + 5X = 136
8X = 136
X = 17 
Numbers are 51 and 85
4 0
2 years ago
Is the order pair (-5,9) a solution to the equation y = 5x -4
s2008m [1.1K]

Answer:

No

Step-by-step explanation:

9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.

8 0
3 years ago
Read 2 more answers
How do I graph the equation?
makvit [3.9K]
The equation is y=2.5x.
Let the y axes increase by 2.5 and the x axes by ones
4 0
3 years ago
When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equatio
dmitriy555 [2]

Answer:

  \dfrac{xy}{pm}=8

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

  x = k(pm)/y . . . . where k is the constant of proportionality

__

This can be solved for k:

  k = xy/pm

For the given values, the value of k is ...

  k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

  (xy)/(pm) = 8

5 0
1 year ago
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