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Oduvanchick [21]
3 years ago
7

The sum of three consecutive odd number is one hundred fifty-nine. what is the smallest of the three numbers?

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0
Let “n” represent the least of the odd numbers. Then the next two will be:
n + 2 and n + 4 that their sum is 159.

n + (n + 2) + (n + 4) = 159

3n + 6 = 159

3n = 153

n = 51

And to check: 51 + 53 + 55 = 159
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Step 1 of 3: Each year a nationally recognized publication conducts its Survey of America’s Best Graduate and Professional Schoo
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Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Starting salary of a graduate at a top business school

X: GMAT score of the business school

The sample used had a size n=20

The estimated regression equation was ^Y= -92040 + 228Xi

The correlation coefficients were r= 0.81

You need to know if r is statistically significant at a 0.05 level:

Assuming the hypotheses are:

H₀: There is a linear correlation between the variables of interest

H₁: There is no linear correlation between the variables of interest

α: 0.05

This test is two-tailed.

The p-value for a r=0.81 and n=20 is 0.000015

Using the p-value approach, the decision rule is:

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

In this case, the p-value is less than α, the decision is to reject the null hypothesis.

At a 5% level, you can conclude that the coefficient of correlation is statistically significant.

4 0
3 years ago
I need help with this question ASAP!!!
alex41 [277]
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4 0
3 years ago
In the past month, Frank rented 5 video games and 6 DVDs. The rental price for each video game was 2.10 The rental price for eac
weeeeeb [17]

Answer:  $32.70

Step-by-step explanation:

Total amount spent on Video game rentals:

= Number of video game rentals * rental price of video game

= 5 * 2.10

= $10.50

Total amount spent on DVD rentals:

=  Number of DVD rentals * rental price of DVD

= 6 * 3.70

= $22.20

Total spent on both:

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= $32.70

4 0
2 years ago
Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.
Dafna11 [192]

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

.....................

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.




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3 years ago
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1 year ago
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