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UkoKoshka [18]
2 years ago
10

Identical prizes are to be given to two winners from a group of 12 contestants. What counting formula would you use to determine

how many ways the prizes could be given out
Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

We will use a combination formula to determine how many ways the prizes could be given out.

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

The formulas nCk is popularly known as counting formula.

Learn more about Combination:

brainly.com/question/4313883

#SPJ4

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A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by
omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical​ insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

H_0: \pi=0.3\\\\H_a:\pi\neq 0.3

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.089)=0.0367

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical​ insurance.

5 0
3 years ago
HD Straight line graphs
Taya2010 [7]

Answer:

The equation of the sraight line  3x- y+ 6 =0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the gradient of the function

   |gradf| = 3  and point (-1,3)

Given that the slope of the line

 m = 3

The equation of the straight line passing through the point(-1,3) and slope m =3

y -y_{1} = m(x-x_{1} )

y-3 = 3(x-(-1))

y-3 = 3x+3

3x +3-y+3=0

3x- y+ 6 =0

<u><em>Final answer:-</em></u>

The equation of the sraight line  3x- y+ 6 =0

<u><em></em></u>

   

5 0
3 years ago
What is the answer for this ?
vodka [1.7K]

Answer:

1/9

Step-by-step explanation:

1/9 fills faster than

1/27

1/18

5 0
3 years ago
Select the correct choice that completes the sentence below.
vodomira [7]

\sf \red⇛ \green {3a + 1 = 16}

Move the constant to the right-hand side and change its sign to minus sign since it is in plus

\sf \red⇛ \green{3a = 16 - 1}

Subtract the numbers

\sf\red ⇛ \green{3a = 15}

Divide both sides of equation by 3

\sf \red⇛ \green{a = 5}

  • On observing the above steps, Option B is correct!
  • <em>First</em><em> </em><em>step</em><em> </em><em>is</em><em> </em><em>subtraction</em><em> </em><em>then</em><em> </em><em>division</em>
4 0
2 years ago
Read 2 more answers
Convert the fraction into a decimal number.<br><br> 1.14286...<br> 0.875<br> 0.8...
Alex17521 [72]

Answer:

do u mean decimal to a fraction

6 0
3 years ago
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