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krek1111 [17]
3 years ago
15

Ralph has a balance of $1350 on his credit card, which he plans to pay off by making a payment of the same amount each month. Wh

ich of these monthly amounts will allow Ralph to pay off his balance the fastest? A. $35. B. $30. C. $40. D. $25
Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer:

The answer is 40$ because 40$ makes the most sense in this particular equation

Step-by-step explanation:

You might be interested in
Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sa
xxMikexx [17]

Answer:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

Assume the following dataset:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      32   18    50

Medium                                 68     7    75

Large                                     89    11    100

_____________________________________

Total                                     189    36   225

We need to conduct a chi square test in order to check the following hypothesis:

H0: independence between heath insurance coverage and size of the company

H1:  NO independence between heath insurance coverage and size of the company

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*189}{225}=42

E_{2} =\frac{50*36}{225}=8

E_{3} =\frac{75*189}{225}=63

E_{4} =\frac{75*36}{225}=12

E_{5} =\frac{100*189}{225}=84

E_{6} =\frac{100*36}{225}=16

And the expected values are given by:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      42    8    50

Medium                                 63     12    75

Large                                     84    16    100

_____________________________________

Total                                     189    36   225

And now we can calculate the statistic:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

3 0
3 years ago
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to de
noname [10]

Answer:

Should not be rejected.

Step-by-step explanation:

5 0
3 years ago
In a class of 34 students, 19 of them are girls.
Colt1911 [192]

Answer:

55.9%

Step-by-step explanation:

To find the percent that are girls, take the number of girls over the total number of students

19/34

.558823529

To change to percent form, multiply by 100%

55.8823529%

To 1 decimal place

55.9%

5 0
3 years ago
Read 2 more answers
Find the value of (-8)(-3)(-2)(4).<br><br> A.17<br> B.-17<br> C.192<br> D.-192<br><br> helppp
julsineya [31]
Note: two negatives multiplied together = one positive answer
         one negative & one positive multiplied together = one negative answer
Multiply -8 and -3 together

-8(-3) = 24
24(-2) = -48
-48(4) = -192

D) -192 is your answer


hope this helps

4 0
3 years ago
Read 2 more answers
2+3*34=? Help if you know it. I know you are probably stupid. Or lazy. Lol. Ok
Effectus [21]

Answer:

104

Step-by-step explanation:

PEMDAS, do the multiplication first and then the addition

8 0
2 years ago
Read 2 more answers
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