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3 years ago

Which of the following can be used to find the sum of the interior angles for any regular polygon?

Mathematics

2 answers:

TiliK225 [7]3 years ago

8 0

Sum of Interior Angles = (Number of Sides -2) • 180 degrees
It seems C is the answer.

babunello [35]3 years ago

3 0

To find the sum of the interior angles for any regular polygon, you need to subtract 2 from the number of sides and multiply the difference by 180.

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Each day her goal is to make 4 more baskets than she made thr day before. If she makes 10 baskets the first day and meets her go

irina [24]

Answer:

Janelle will make 62 baskets on 14th day.

Step-by-step explanation:

Given,

Number of goals on 1st day = 10

We need to find the number of goals on 14th day.

Solution,

Since Janelle made 10 goals on 1st day and want to make 4 more basket from the day before.

So we can say that;

$a_1=10$ and $d=4$

And also $n=14$

here $a_1$ = first term

d = common difference

n = number of terms

Now we apply the formula of A.P.

$T_n=a_1+(n-1)d$

now substituting the given values, we get;

$T_{14}=10+(14-1)4\\\\T_{14}=10+13\times 4\\\\T_{14}=10+52 =62$

Hence Janelle will make 62 basket on 14th day.

7 0

3 years ago

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic

Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

b) $s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

c) For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

And the sample variance for this case can be calculated from this formula:

$s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

8 0

3 years ago

Rectangle ABCD has a perimeter of 32 units and will

victus00 [196]

Answer:

Cylinder and 6 units

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Factor 8a^2+8ab+8ac+3a+3b+3c

nalin [4]

Answer:

(8a + 3)(a + b + c)

Step-by-step explanation:

8a^2 + 8ab + 8ac + 3a + 3b + 3c =

= 8a(a + b + c) + 3(a + b + c)

= (8a + 3)(a + b + c)

5 0

3 years ago

Write a recursive formula and an explicit formula for the following arithmetic sequence.

Serjik [45]

Answer:

Explicit: a₁=61 aₙ=a₁ -3ₓ(n-1)

Recursive: a₁=61 aₙ=aₙ₋₁ - 3

Step-by-step explanation:

Explicit: a₁=61 aₙ=a₁ -3ₓ(n-1)

Recursive: a₁=61 aₙ=aₙ₋₁ - 3

3 0

3 years ago